Important Wave Optics Questions for CBSE Class 12th

The maximum intensity in Young’s double slit experiment is I 0 . Distance between the slits is d = 5 λ , where λ is the wavelength of monochromatic light used in the experiment. What will be the intensity of light in front of one of the slits on a screen at a distance D = 10 d

In Young’s double slit experiment, the wavelength of red light is 7.8 × 10 − 5 c m and that of blue light is 5.2 × 10 − 5 c m . The value of ‘n’ for which ( n + 1 ) t h blue bright band coincides with n th red bright band is

Monochromatic light waves of wavelength λ from two coherent sources fall on a large plane screen. One of the waves is emanated from a point source S located at distance L from the screen and other one is a broad plane wave as shown in the figure. Mark the correct options

In a single slit diffraction experiment first minimum for red light (660 nm ) coincides with first maximum of some other wavelength λ ‘ . The value of λ ‘ in (nm)

Two Nicol prisms are oriented with their principal planes making an angle of 60 0 . The percentage of incident unpolarized light which passes through the system

Two wavelengths of light λ 1 and λ 2 are sent through young’s double slit apparatus simultaneously. If the third order bright fringe of λ 1 coincides with the fourth order bright fringe of λ 2 , then ratio of fringe width for λ 1 to that for λ 2 is

Figure shows a wave front P passing through two systems A and B, and emerging as Q and then as R. The systems A and B could, respectively, be

A beam of light propagating in medium A with index of refraction n (A) passes across an interface into medium B with index of refraction n (B). If v(A) and v(B) are the speeds of light in A and B respectively. Then which of the following is true ?

The intensity ratio of two coherent sources of light is p. They are interfering in some region and produce interference pattern. Then the fringe visibility is

In Young’s double slit experiment, if the widths of the slits are in the ratio 4 : 9, the ratio of the intensity at maxima to the intensity at minima will be

Two coherent sources S 1 and S 2 are separated by a distance four times the wavelength λ of the source. The sources lie along y axis whereas a detector moves along + x axis. Leaving the origin and far off points the number of points where maxima are observed is

Two coherent sources separated by distance d are radiating in phase having wavelength λ . A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as

In Young’s double slit experiment, the intensity on the screen at a point where path difference is λ is K. What will be the intensity at the point where path difference is λ / 4 ?

A beam of light consisting of two wavelengths 650 nm and 520 nm is used to illuminate the slit of a Young’s double slit experiment. Then the order of the bright fringe of the longer wavelength that coincide with a bright fringe of the shorter wavelength at the least distance from the central maximum is

In Young’s double slit experiment, we get 60 fringes in the field of view of monochromatic light of wavelength 4000 Å . If we use monochromatic light of wavelength 6000 Å, then the number of fringes obtained in the same field of view is

In a certain double slit experiment arrangement interference fringes of width 1.0 mm each are observed when light of wavelength 5000 Å is used. Keeping the set up unaltered, if the source is replaced by another source of wavelength 6000 Å , the fringe width will be

What will be the angle of diffracting for the first minimum due to Fraunhofer diffraction with sources of light of wavelength 550 nm and slit of width 0.55 mm?

In Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of one refractive index 1.5 is introduced in the path of one of the beams. When this plate in replaced by another plate of the same thickness, the shift of fringes is (3/2)x. The refractive index of the second plate is

Light of wavelength 589.3 nm is incident normally on the slit of width 0.1 mm. What will be the angular width of the central diffraction maximum at a distance of 1 m from the slit?

If we observe the single slit Fraunhofer diffraction with wavelength λ and slit width d, the width of the central, maxima is 2 θ . On decreasing the slit width for the same λ

Angular width ( β ) of central maximum of a diffraction pattern on a single slit does not depend upon

A single slit of width a is illuminated by violet light of wavelength 400 nm and the width of the diffraction pattern is measured as y.When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm, the width of the diffraction pattern is

For a medium whose critical angle is 45 0 , the angle of polarisation is

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index n) is

Waves from two different sources overlap near a particular point. The amplitude and the frequency of the two waves are same. The ratio of the intensity when the two waves arrive in phase to that when they arrive 90 o ‘ out of phase is

The phenomenon of interference is shown by

By Huygen’s wave theory of light, we cannot explain the phenomenon of

A parallel beam of monochromatic light is incident normally on a slit. The diffraction pattern is observed on a screen placed at focal plane of convex lens. If the slit width is increased, the central maximum of the diffraction pattern will

The path difference between two interfering waves at a point on a screen is 11. 5 times the wavelength’ The point is

In a double slit experiment, the slits are separated by a distance d and the screen is at a distance D from the slits. If a maximum is formed just opposite to each slit, then what is the order of the fringe so formed ?

Two coherent monochromatic light sources are located at two vertices of an equilateral triangle. If the intensity of the sources independently are 1 W m – 2 and 4 W m – 2 . The resultant intensity due to both the source at the third vertex is (in W m – 2 )

A slit (wavelength λ = 600 nm) of adjustable width is used to illuminate two points 0.1 mm apart. Initially, the slit is closed and then gradually it is opened. The width at which the fringes on a screen 2 m apart will just disappear is

If diameter of objective lens of a telescope is 4.0 m and mean wavelength of light is 600 nm. Find resolving power.

A beam of light consisting of two wavelengths 4500 A 0 and 7500 A 0 is used to obtain interference fringes in Young’s double slit experiment. The distance between the slits is 1 mm and the distance between the plane of the slits and the screen is 120cm. What is the minimum distance (in mm) between two successive regions of complete darkness on the screen ?

In Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index 1.5 is introduced in the path of one of the beams. When this plate is replaced by another plate of the same thickness, the shift of fringes is 3 / 2 x . The refractive index of the second plate is

Young’s double slit experiment is made in a liquid. The 10th bright fringe in liquid lies where 6th dark fringe lies in vacuum. The refractive index of the liquid is approximately

In young’s double slit experiment, intensity of central maximum is I m . If wavelength of light used is 6000 A o , find the path difference between two waves emerging from the slits at a point on the screen where the intensity of light is I m / 4 .

If I 0 is the intensity of the principal maximum in the single slit diffraction pattern then, with doubling the slit width, the intensity becomes

Two polaroids are placed in the path of unpolarized beam of intensity I 0 such that no light is emitted from the second polaroid. If a third polaroid whose polarization axis makes an angle θ with the polarization axis of first polaroid, is placed between these polaroids then the intensity of light emerging from the last polaroid will be

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude a and of wave length λ . In other experiment with the same set up, the two slits are sources of equal amplitude a and wavelength ‘ λ ’ but are incoherent. The ratio of intensity of light at the midpoint of the screen in the first case to that in the second case is

Consider two coherent point sources ( S 1 and S 2 ) separated by a small distance along a vertical line and two screens P 1 and P 2 placed as shown in Figure. Which one of the choices represents the shapes of the interference fringes at the central regions on the screens?

Plane microwaves are incident on a slit of width 5.0 cm, if first diffraction minimum is formed at an angle θ = 30 ∘ , then what is the wavelength of the microwaves?

In a Young’s double slit experiment, slits are illuminated by a monochromatic light source of wavelength 6000 A 0 and fringes are obtained on the screen. If screen is only moved by a distance of 5cm towards slits, change in fringe width is 3 × 10 − 5 m . Then separation between the slits will be:

Monochromatic light of wavelength λ 1 travelling in medium of refractive index n 1 enters a denser medium of refractive index n 2 . The wavelength in the second medium is

Interference was observed in interference chamber when air was present, now the chamber is evacuated and if the same light is used, a careful observer will see

Two coherent sources of intensities I 1 and I 2 produce an interference pattern. The maximum intensity in the interference pattern will be

Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio

In a double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then, in the interference pattern

In a Young’s double slit experiment, I 0 is the intensity at the central maximum and β is the fringe width. The intensity at a point P distant x from the centre will be

Two waves of equal amplitude and frequency interfere each other. The ratio of intensity when the two waves arrive in phase to that when they arrive 90 0 out of phase is

In double slit experiment, the angular width of the fringes is 0.20 0 for the sodium light ( λ = 5890 Å ) . In order to increase the angular width of the fringes by 10%, the necessary change in the wavelength is

In order to see diffraction the thickness of the film is

The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be

Angular width of central maxima in the Fraunhofer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength 6000 Å . When the slit is illuminated by light of another wavelength, the angular width decreases by 30%. The wavelength of this light will be

In the propagation of electromagnetic waves the angle between the direction of propagation and plane of polarisation is

Polarising angle for water is 53 ∘ 4 ′ . If light is incident at this angle on the surface of water and reflected, the angle of refraction is

In a modified YDSE a monochromatic uniform and parallel beam of light of wavelength 6000 Å and intensity ( 10 / π ) W / m 2 is incident normally on two circular apertures A and B of radii 0.001 m and 0.002 m, respectively. A perfectly transparent film of thickness 2000 Å and refractive index 1.5 for the wavelength of 6000 Å is placed in front of aperture A (see figure). Calculate the power in watts received at the focal spot F of the lens. The lens is symmetrically placed w.r.t. the apertures. Assume that 10% of the power received by each aperture goes in the original direction and is brought to the focal spot.

A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and A ′ B ′ undergo interference. The ratio I max / I min is

In young’s double slit experiment d D = 10 − 4 (d = distance between slits, D = distance of screen from the slits). At a point P on the screen resulting intensity is equal to the intensity due to the individual slit I 0 . Then the distance of point P from the central maximum is ( λ = 6000 Å )

In a YDSE bi-chromatic light of wavelengths 400 nm and 560 nm are used. The distance between the slits is 0.1 mm and the distance between the plane of the slits and the screen is 1 m. The minimum distance between two successive regions of complete darkness is

Statement 1: In Young’s experiment, for two coherent sources, the resultant intensity is given by I = 4 I 0 cos 2 ϕ 2 . Statement 2: Ratio of maximum to minimum intensity is I max I min = I 1 + I 2 2 I 1 − I 2 2 .

If I 0 is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

In Young’s experiment, the distance between the slits is reduced to half and the distance between the slit and screen is doubled, then the fringe width

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of incident beam. At the first minimum of the diffraction pattern the phase difference between the rays coming from the edges of the slit is

In a Young’s double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in water of refractive index 4/3 without disturbing the geometrical arrangement, the new fringe width will be

In Young’s double slit experiment, if L is the distance between the slits and the screen upon which interference pattern is observed, x is the average distance between the adjacent fringes and d being the slit separation. The wavelength of light is given by

A wave front AB passing through a system C emerges as DE. The system C could be

In Young’s double slit experiment slit separation d = 5 λ . Then angular separation between 5th bright fringe and 2nd dark fringe (in radian) is

The aperture of the largest telescope in the wold is ≈ 5 meters. If the separation between the moon and the earth is ≈ 4 × 10 5 km and the wavelength of visible light is ≈ 5000 Å then the minimum separation between objects on the surface of moon which can be just resolved is

A parallel beam of light of wavelength 6000 A is incident normally on a slit of width 0.2 mm. The diffraction pattern is obsessed or a screen which is placed at the focal plane of a convex lens of focal length 50 cm. If the lens is pl,aced dose to the slit, the distance between the minima om both sides of central maximum will be

A beam of unpolarized light of intensity I o is passed through a tourmaline crystal A and then through another tourmaline crystal B oriented so that its principal plane is parallel to that of A. If A is now rotated by 45’in a plane perpendicular to the direction of incident ray, the intensity of the emergent Iight will be

In the Young’s experiment with sodium light, the slits are 0 . 589 m apart. What is the angular width of the fourth maximum ? Given that l, = 589 nm

In Young’s double slit experiment, the length of band is 1 mm. The fringe width is 0 .021mm. The number of fringes is

Wavefront of a wave has direction with wave motion

Wavelength of light of frequency 100Hz

Two identical light sources S 1 and S 2 emit light of same wavelength λ . These light rays will exhibit interference if

Two light sources are said to be coherent if they are obtained from

In Young’s experiment, the distance between slits is 0.28 mm and distance between slits and screen is 1.4 m. Distance between central bright fringe and third bright fringe is 0.9 cm. What is the wavelength of used light

A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be

In the figure is shown Young’s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11 th fringe on the other side, as measured from Q. If the wavelength of the light used is 6000 × 10 – 10 m , then S 1 B will be equal to

Four light waves are represented by (i) y = a 1 sin ⁡ ωt (ii) y = a 2 sin ⁡ ( ωt + ϕ ) (iii) y = a 1 sin ⁡ 2 ωt (iv) (iv) y = a 2 sin ⁡ 2 ( ωt + ϕ ) Interference fringes may be observed due to superposition of

In a Young’s double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength λ 0 = 750 mm and λ = 900 mm . The minimum distance from the common central bright fringe on a screen 2m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other is

A slit of width a is illuminated by white light. The first minimum for red light ( λ = 6500 Å) will fall at θ = 30° when a will be

In the Young’s double slit experiment, the intensity of light at a point on the screen where the path difference λ . is K, ( λ . being the wavelength of light used). The intensity at a point where the path difference is λ /4 will be

Which colour of the light has the longest wavelength?

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be 0 . 2 ° . What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? μ water = 4 / 3

In Young’s double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths λ 1 = 12000 A 0 and λ 2 = 10000 A 0 . At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

A parallel beam of light of wavelength λ is incident normally on a single slit of width d. Diffraction bands are obtained on a screen placed at a distance D from the slit. The second dark band from the central bright band will be at a distance given by :

An electron beam accelerated through 400 V is incident on a metallic foil. The distance between the arrays of atoms of the metal is 1.2 A 0 . What is the angular width of central maximum?

Interference was observed in interference chamber where air was present. Now the chamber is evacuated, and the same light is used, a careful observer will see

A paper, with two marks having separation d, is held normal to the line of sight of an observer at a distance of 50m. The diameter of the eye-lens of the observer is 2mm. Find the least value of d (in cm), so that the marks can be seen as separate? The mean wavelength of visible light may be taken as 5000 A 0

In an Interference pattern of Young’s double slit experiment, we observe the 12th order maxima for wavelength 600 nm at a point on the screen. What order maxima will be visible at the same point, if the source is replaced by light of wavelength 480 nm.

In Young’s double slit experiment, intensity at the centre of screen is I 0 . Find the minimum distance from centre of screen, when intensity is I 0 4

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π 2 at point A and π at point B. Then, the difference between resultant intensities at A and B is

A parallel beam of monochromatic light of intensity I 0 is incident on a glass plate, 25% of light is reflected by upper surface and 50% of light is reflected from lower surface. The ratio of minimum and maximum intensity in interference region of reflected light is

A thin convex lens of refractive index 1.5 is coated with a thin film of refractive index 1.2 in order to reduce the reflection from its surface at λ = 480 n m . Find the maximum thickness of the film which will minimize the intensity of the reflected light.

n identical coherent isotropic sources each having power P are kept symmetrically on the periphery of circle x 2 + y 2 = R 2 . The resultant intensity detected by a detector placed at 0 , 0 , R is I 1 and the resultant intensity at 0 , 0 , 2 R is I 2 . The ratio of I 1 and I 2 is

A screen is placed 50 c m from a single slit, which is illuminated with 6000 Å light. If distance between the first and third minima in the diffraction pattern is 3 m m , the width of the slit is (in mm)

The fringe width in Young’s double slit experiment does not depend on

In YDSE the angular width of a tringe formed on a distance screen is 1 0 . The wavelength of light used is 6000 A o . What is the spacing between the slits?

In a YDSE, each slit has a width b and maximum intensity at a point on the screen is I. In another YDSE, the slits have widths b and b/4. Then maximum intensity obtained on the screen will be

In a double-slit experiment, at a certain point on the screen the path difference between the two interfering waves is 1 8 th of a wavelength. The ratio of the intensity of light at that point to that at the centre of a bright fringe is :

Three harmonic waves having equal frequency v and same intensity I 0 , have phase angles 0 , π 4 and − π 4 respectively. When they are superimposed the intensity of the resultant wave is close to:

Light falls normally on a slit of width 0.3 mm. A convex lens of focal length 40 cm collects the rays at its focal plane. The distance of the first dark band from the central line of the screen is 0.8 mm. The wave length of light is

In Young’s double slit experiment, the distance between two slits that results in the third minimum for 420 nm violet light at the angle of 30 o , is

In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:

A beam of light of wavelength 600nm from a distant source falls on a single slit 1.0mm wide and the resulting diffraction pattern is observed on a screen 2m away. What is the width of central maximum?

A beam of light consisting of two wavelengths, 650 nm and 520 nm is used to obtain interference in YDSE. If bright fringes due to both the wavelengths coincide at any point P then least distance of P from central maxima is (Slit separation is 2 mm and distance between slits and screen is 1.2 m)

When Young’s double slit experiment is conducted in vacuum, fringe width is found to be β . When separation between the slits is halved, distance between the slits and the screen is doubled and the whole experiment is conducted in water ( μ = 4 3 ) , the new fringe width will be

In young’s double slit experiment a mixture of two lights of wavelengths 5000 A o and λ is used. If is observed that the third dark fringe of 5000 A o coincides with third bright fringe of wavelength λ . Then find λ .

Assuming human pupil have a radius of 0.25 cm and a comfortable viewing distance of 25 cm. The minimum separation between two objects that human eye can able to resolve at 500 nm wavelength is

Unpolarized light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the final transmitted light is one-third the maximum intensity of the first transmitted beam?

In a single slit diffraction of light of wavelength λ by a slit of width e, the size of the central maximum on a screen at a distance b is(Assume the mathematical expression obtained in Fraunhofer diffraction when screen is at ∞ distance is also applicable when screen is at finite distance)

In Young’s double slit experiment, the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width is :

If the width of the slit used in single slit Fraunhoffer diffraction is increased then the intensity of the central bright fringe

Which of the following statement is correct?

A plate of thickness ‘ t ‘ made of a material of refractive index ‘ μ ‘ is placed in front of one of the slits in a double slit experiment. What should be the minimum thickness ‘ t ‘ , which will make the intensity at the centre of the fringe pattern zero?

The phase difference between incident wave and reflected wave is 180 0 when light ray

If two waves represented by y 1 = 4 sinωt and y 2 = 3 sin ωt + π 3 interfere at a point, the amplitude of the resulting wave will be about

If the ratio of amplitude of two waves is 4 : 3, then the ratio of maximum and minimum intensity is

Two coherent sources have intensity in the ratio of 100 1 . Ratio of (intensity) max/(intensity) min is

If an interference pattern have maximum and minimum intensities in 36 : 1 ratio, then what will be the ratio of amplitudes?

Three waves of equal frequency having amplitudes 10 μm , 4 μm , 7 μm arrive at a given point with successive phase difference of π / 2 , the amplitude of the resulting wave in μ m is given by

In a Young’s double slit experiment, the central point on the screen is

In Young’s double slit experiment, the phase difference between the light waves reaching third bright fringe from the central fringe will be ( λ = 6000 Å )

In the Young’s double slit experiment, if the phase difference between the two waves interfering at a point is ϕ , the intensity at that point can be expressed by the expression

Two identical radiators have a separation of d = λ / 4 where λ is the wavelength of the waves emitted by either source. The initial phase difference between the sources is λ / 4 . Then the intensity on the screen at a distant point situated at an angle θ = 30 ∘ from the radiators is (here I 0 is intensity at that point due to one radiator alone)

Light of wavelength 500 nm is used to form interference pattern in Young’s double slit experiment. A uniform glass plate of refractive index 1.5 and thickness 0.1 mm is introduced in the path of one of the interfering beams. The number of fringes which will shift the cross wire due to this is

The path difference between two interfering waves of equal intensities at a point on the screen is λ / 4 . The ratio of intensity at this point and that at the central fringe will be

Two slits are separated by a distance of 0.5 mm and illuminated with light of λ = 6000 Å . If the screen is placed 2.5 m from the slits. The distance of the third bright image from the centre will be

The ratio of the intensity at the centre of a bright fringe to the intensity at a point one-quarter of the distance between two fringe from the centre is

In Young’s experiment, monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit

A single slit of width 0.20 mm is illuminated with light of wavelength 500 nm. The observing screen is placed 80 cm from the slit. The width of the central bright fringe will be

In Fresnel diffraction, if the distance between the disc and the screen is decreased, the intensity of central bright spot will

What will be the angular width of central maxima in Fraunhofer diffraction when light of wavelength 6000 Å is used and slit width is 12 × 10 − 5 cm ?

In a single slit diffraction experiment first minimum for red light (660 nm) coincides with first maximum of some other wavelength λ ′ . The value of λ ′ is

Light waves can be polarised as they are

A ray of light is incident on the surface of a glass plate at an angle of incidence equal to Brewster’s angle ϕ . If μ represents the refractive index of glass with respect to air, then the angle between reflected and refracted rays is

A ray of light is incident on a glass plate at an angle of 60 ∘ . What is the refractive index of glass if the reflected and refracted rays are perpendicular to each other?

When unpolarised light beam is incident from air onto glass (n = 1.5) at the polarising angle

A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through 30 0 with respect to the preceding one. The percentage of incident intensity that passes through the system will be

A double slit experiment is immersed in a liquid of refractive index 1.33. It has slit separation of 1 mm and distance between the plane of slits and screen 1.33 m. The slits are illuminated by a parallel beam of light whose wavelength in air is 6300 Å. Then the fringe width is

In a standard Young’s double slit experiment with coherent light of wavelength 600 nm, the fringe width of the fringes in the central region (near the central fringe, P) is observed to be 3 mm. An extremely thin glass plate is introduced in front of the first slit, and the fringes are observed to be displaced by 11 mm. Another thin plate is placed before the second slit and it is observed that the fringes are now displaced by an additional 12 mm. If the additional optical path lengths introduced are Δ 1 and Δ 2 then

In an interference arrangement similar to Young’s double slit experiment, the slits S 1 and S 2 are illuminated with coherent microwave sources each of frequency 10 6 Hz . The sources are synchronized to have zero phase difference. The slits are separated by distance d = 150 m. The intensity I ( θ ) is measured as a function of θ , where θ is defined as shown. If I 0 is maximum intensity, then I ( θ ) for 0 ≤ θ ≤ 90 ∘ is given by

Statement 1: If the whole apparatus of Young’s experiment is immersed in liquid, the fringe width will decrease. Statement 2: The wavelength of light in water in more that of air.

Statement 1: In everyday life the Doppler’s effect is observed readily for sound waves than light waves. Statement 2: Velocity of light is much much greater than that of sound.

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is

Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are

Huygens’ concepts of secondary waves :

In Fig. 16. 57, a wave front AB moving in air is incident on a plane glass surface xy. Its position CD after refraction through a glass slab is shown also along with normals drawn at A and D. The refractive index of glass with respect to air will be equal to :

Two parallel pillars are 11 km away from an observer. The minimum distance between the pillars so that they can be seen separately will be

The aperture of the objective lens of a telescope is made large so as to

Large aperture of telescope are used for

The resolving power of a telescope depends on

A telescope of diameter 2m uses light of wavelength 5000 Å for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

The diameter of objective of a telescope is 1m. Its resolving limit for the light of wave length 4538 Å, will be

The resolving power of an astronomical telescope is 0.4 seconds. If the central half portion of the objective lens is covered, the resolving power will be

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude A and of wavelength λ in another experiment with the same set up, the two slits are sources of equal amplitude A and wavelength λ but are incoherent. The ratio of the intensity of light at the midpoint of the screen in the first case of that in the second case is

In the Young’s double slit experiment, the interference pattern is found to have an intensity ratio between bright and dark fringes as 9. This implies that

In a Young’s double slit interference experiment, the fringe pattern is observed on a screen placed at a distance D, the slits are separated by d and are illuminated by light of wavelength λ the distance from the central point where the intensity falls to half the maximum is

In Young’s double slit experiment, the intensity at a point is (1 /4) of the maximum intensity. The angular position of this point is

Polaroid glass is used in sun glasses because

Two slits separated by a distance of 1 mm are illuminated with red light of wavelength 6.5 x 10 -7 m.The interference fringes are observed on a screen placed 1m from the slits. The distance between third dark fringe and the fifth bright fringe is equal to

In an experiment similar to Young’s experiment, interference is observed using waves associated with electrons. The electrons are being produced in an electron gun. In order to increase the fringe width

In Young’s double slit interference experiment if the slit is made 3 folds the fringe width becomes

We shift Young’s double slit experiment from air to water. Assuming that water is still and clear, it can be predicted that the fringe pattern will

In Young’s double slit experiment, the fringe width is β . If the entire arrangement is now placed in a liquid of refractive index μ , the fringe width becomes

A beam of light consisting of two wavelengths 650nm and 520nm is used to obtain interference fringes in Young’s double slit experiment. The distance between slits is 2 mm and between the plane of slits and screen is 120 cm. The least distance from the central maximum where the bright hinges due to both wavelength coincide is

In Young’s double slit experiment, the slits are 0.0 λ = 300 × 10 – 10 m 5 mm apart and interference is observed on screen placed at a distance of 100 cm from the slits. It is found that 9 th bright fringe is at a distance of 9.0 mm from the second dark fringe from the center of the fringe pattern. The wavelength of light used is

If a thin mica sheet of thickness t refractive index μ (=5/3) is placed in the path of one the interfering beam as shown in fig (1), then the displacement of the fringe system is

A screen is placed at a certain distance from a narrow slit which is illuminated by a parallel beam of monochromatic light. If the wavelength of light used in the experiment is X, and d is the width of the slit, then angular width of central maximum will be

Light of wavelength λ is incident on a slit of width d. The resulting diffraction pattern is observed on a screen at a distance D. The linear width of the principal maximum is then equal to the width of the slit if D equals

A diffraction pattern is obtained using a beam of red light. What happens if the red light is replaced by blue light

The main difference in the phenomenon of interference and diffraction is that

In Young’s double slit experiment; monochromatic light is used to illuminate the two slits A and 8. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is normally placed in the path of the beam as shown in fig. (5), then

The figure (6) shows fraunhoffer’s diffraction due to a single slit. It first minimum is obtained in the direction shown, then the path difference between rays 1 and 3 is

Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are

Angular width of central maximum of a diffraction pattern of a single slit does not depend upon

Two polarising sheets are placed parallel with their polarising axes. The intensity of emergent light is I m Now, one of the sheets is rotated through an angle θ . If the intensity of emergent light is reduced to half i.e. , I m 2 then the angle θ will be

In Young’s double slit experiment, the 7th maximum with wavelength λ 1 is at a distance d 1 and that for wavelength λ 2 is at a distance d 2 Then d 1 / d 2 is

In a double-slit arrangement, fringes are produced using light of wavelength 4800 A. One slit is covered by a thin plate of glass of refractive index 1. 4 and other by another plate of glass of the same thickness but of refractive index 1.7. On doing so, the central bright fringe shifts to the position originally occupied by the fifth bright fringe from the central maximum The thickness of glass plate is ………….

A source emits electromagnetic waves of wavelength 3 m. One beam reaches the observer directly and other after reflection from a water surface, travel ling 1 .5 m extra distance and with intensity reduced to 1/4 as compared to intensity due to the direct beam alone. The resultant intensity will be

In Young’s double slit experiment, we get 60 fringes in the field of view of monochromatic light of wavelength 4000 A. If we use monochromatic light of wavelength 6000 A, then the number of fringes obtained in the same field of view is

The ratio of intensities of two coherent sources is p. In the interference pattern, visibility of fringes will be

According to corpuscular theory of light, the different colours of light are due to

In a double slit experiment instead of taking slits of equal widths, one slit is made twice as wide as the other. Then, in the interference pattern

Two coherent sources S 1 , and S 2 , are situated on the X-axis. The screen is in Y-Z plane as shown in fig. (2). The shape of the fringe on screen is

By corpuscular theory of light, the phenomenon which can be explained is

In Young’s double slit experiment, we get 60 fringes in the field of view of monochromatic light of wavelength 4000 Å If we use monochromatic light of wavelength 6000 Å then the number of hinges obtained in the same field of view is

Huygen’s conception of secondary waves

The ratio of intensities of two waves is 9 : 1. They are producing interference. The ratio of maximum and minimum intensities will be

in the given arrangement S 1 and S 2 are coherent sources [Fig.(1)]. the point P is a point of

Interference was observed in interference chamber when air was present, now the chamber is evacuated and if the same light is used, a careful observer will see

Evidence for the wave nature of light cannot be obtained from

If a transparent medium of refractive index μ = 1.5 and thickness t = 2.5 × 10 –5 m is inserted in front of one of the slits of Young’s Double Slit experiment, how much will be the shift in the interference pattern? The distance between the slits is 0.5 mm and that between slits and screen is 100 cm

Colours of thin films result from or On a rainy day, a small oil film on water show brilliant colours. This is due to

In a Young’s double slit experiment, the slit separation is 0.2 cm, the distance between the screen and slit is 1m. Wavelength of the light used is 5000 Å. The distance between two consecutive dark fringes (in mm) is

In Fresnel’s biprism experiment, on increasing the prism angle, fringe width will

In the Young’s double slit experiment, for which colour the fringe width is least

If the separation between slits in Young’s double slit experiment is reduced to 1 3 rd , the fringe width becomes n times. The value of n is

An interference pattern was made by using red light. If the red light changes with blue light, the fringes will become

For constructive interference to take place between two monochromatic light waves of wavelength λ , the path difference should be

Which one of the following phenomena is not explained by Huygen’s construction of wavefront

In a Young’s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance D of the screen from the slits should be made

In Young’s experiment, the ratio of maximum to minimum intensities of the fringe system is 4 : 1. The amplitudes of the coherent sources are in the ratio

In Young’s double slit experiment, the central bright fringe can be identified

The penetration of light into the region of geometrical shadow is called

What happens to the fringe pattern when the Young’s double slit experiment is performed in water instead or air then fringe width

In Young’s double-slit experiment the fringe width is β . If entire arrangement is placed in a liquid of refractive index n, the fringe width becomes

Diffraction effects are easier to notice in the case of sound waves than in the case of light waves because

A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fringe is

Direction of the first secondary maximum in the Fraunhofer diffraction pattern at a single slit is given by (a is the width of the slit)

The angle of polarization for a medium is 60 o , what will be critical angle for this

In Young’s double slit experiment, if monochromatic light is replaced by white light

In the adjacent diagram, CP represents a wavefront and AO & BP, the corresponding two rays. Find the condition on θ for constructive interference at P between the ray BP and reflected ray OP

A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and A’B’ undergo interference. The ratio I max / I min is B `

In Young’s double slit experiment the y-coordinates of central maxima and 10 th maxima are 2 cm and 5 cm respectively. When the YDSE apparatus is immersed in a liquid of refractive index 1.5 the corresponding y-coordinates will be

In Young’s double slit experiment how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe if λ = 2000 A o and d = 7000 A o

Angular width of central maxima in the Fraunhoffer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength 6000 Å. . When the slit is illuminated by light of another wavelength, the angular width decreases by 30%. The wavelength of this light will be

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength λ . In another experiment with the same set up the two slits are of equal amplitude A and wavelength λ but are incoherent. The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is

Light is incident normally on a diffraction grating through which the first order diffraction is seen at 32°. The second order diffraction will be seen at

When one of the slits in Young’s experiment covered with a transparent sheet of thickness 3.6 × 10 − 3 cm the central fringe shifts to a position originally occupied by the 30th bright fringe. If λ = 6000 Å , the refractive index of the sheet is

In a Young’s experiment the fringes are displaced by a distance ‘x’ when a glass plate of refractive index 1.5 is introduced in the path of one of the beam. When this plate is replaced by another plate of same thickness, then the displacement of fringes is 3 2 x . The refractive index of second plate is

In a single slit diffraction experiment first minima for λ 1 = 660 nm coincide with first maxima for wavelength λ 2 . Calculate λ 2

Light reaches at a point P via two different paths(i) Direct (ii) After reflection from a plane mirror. Path difference between the two path is 5 λ 2 , then the intensity at point P in terms of intensity due to source of light (I) is

In a diffraction pattern due to a single slit of width a , the first minimum is observed at an angle 30 0 when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of

The intensity at the maximum in a Young’s double slit experiment is I 0 . Distance between two slits is d = 5 λ , where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10 d ?

Unpolarised light is incident from air on a plane surface of a material of refractive index μ . At a particular angle of incidence i , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation?

In Young’s double slit experiment the separation d between the slits is 2 mm the wavelength λ of the light used is 5896 A o and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0 . 20 o . To increase the fringe angular width to 0 . 21 o (with same λ and D ) the separation between the slits needs to be changed to

A beam of light of λ = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is

Two candles produce general illumination instead of interference because

The wavefronts released by a linear source are of

Two radio frequency point sources S 1 and S 2 , separated by distance 2.5 m are emitting in phase waves of wavelength 1 m. A detector moves in a large circular path around the two sources in a plane containing them. The number of maxima that will be detected by it over the complete circular path, are

It is found that when waves from two identical coherent sources superpose at a certain point, then the resultant intensity is equal to the intensity of one wave only. This means that the phase difference between the two waves at that point is

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen’s wavelet from the edge of the slit and the wavelet from the midpoint of the slit is

Two slits in Youngs experiment have widths in the ratio 1 : 25. The ratio of intensity at the maxima and minima in the interference pattern, I max I min is

A parallel beam of fast moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is correct?

Intensity at a point due to Young’s double slit experiment remain same when the two identical sources are coherent or incoherent. The phase difference between the two waves when they are coherent is

For a parallel beam of monochromatic light of wavelength ‘ λ ‘ , diffraction is produced by a single slit whose width ‘a’ is of the order of the wavelength of the light. If ‘D’ is the distance of the screen from the slit, the width of the central maxima will be

When the object is self- luminous, the resolving power of a microscope is given by the expression :

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

In Young’s double slit experiment the distance between the slits and the screen is doubled. The separation between the slits is reduced to half. As a result the fringe width

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio I max – I min I max + I min will be

A linear aperture whose width is 0 . 02 c m is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 × 10 – 5 c m . The distance of the first dark band of the diffraction pattern from the centre of the screen is

A parallel beam of light of wavelength λ is incident normally on a narrow slit. A diffraction pattern formed on a screen placed perpendicular to the direction of the incident beam. At the second minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

In double slits experiment, for light of which colour the fringe width will be minimum

In Young’s experiment, two coherent sources are placed 0.90 mm a part and fringe are observed one metre away. If it produces second dark fringe at a distance of 1 mm from central fringe, the wavelength of monochromatic light is used would be :

The ratio of resolving powers of an optical microscope for two wavelengths λ 1 = 4000 A 0 and λ 2 = 6000 \ AA is

Young’s double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly

Two polaroids P 1 and P 2 are placed with their axis perpendicular to each other. Unpolarised light I 0 , is incident on P 1 . A third polaroid P 3 is kept in between P 1 and P 2 such that its axis makes an angle 45° with that of P 1 . The intensity of transmitted light through P 2 is

The Brewsters angle i b for an interface should be

In Young’s double slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes

Two coherent sources of light interfere and produce fringe pattern on a screen. For central maximum, the phase difference between the two waves will be,

An unpolarized light is incident on a plate of refractive index 3 and the reflected light is found to be completely plane polarized. The angle of incidence and refraction are respectively

In a Young’s double slit experiment the intensity at a point where the path difference is λ /6 ( λ being the wavelength of light used) is i. If I 0 denotes the maximum intensity, I / I 0 is equal to

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.01 mm. The light is focussed by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

Two polaroids are kept crossed to each other. Now one of them is rotated through an angle of 45°. The percentage of incident light now transmitted through the system is :

Interference fringes were produced using a light of wavelength 4800 A 0 in a double slit arrangement. When sheet of uniform thickness of refractive index 1.6 (relative to air) is placed in the path of light from one of the slits, the central fringe moves some distance. This distance is equal to the width of 30 interference bands. The thickness (in μ m ) of sheet is:

Angular width of the central maxima in the Fraunhofer diffraction for λ = 6000 A 0 is θ 0 . When the same slit is illuminated by another monochromatic light, the angular width decreases by 30%. The wavelength of this light is

In a Young’s double slit experiment, if there is no initial phase difference between the light from the two slits, a point on the screen corresponding to the fifth minimum has path difference

In interference pattern, if the slit widths are in the ratio 1 : 9. Then find out the ratio of minimum and maximum intensity.

In a YDSE experiment if a slab whose refractive index μ can be varied is placed in front of one of the slits, then the variation of resultant intensity at midpoint of screen with ‘ μ ‘ will be best represented by μ ≥ 1 . [Assume slits of equal width and there is not absorption by slab].

A point source of light is placed at origin, in air. The equation of wave front of the wave at time t, emitted by source at t = 0, is (take refractive index of air as 1)

Plane wave fronts are shown in two mediums. Find the refractive index of the second medium

Figure shows plane waves refracted from air to water using Huygens’ principle and a,b,c,d,e are lengths as shown in the diagram. The refractive index of water w.r.t air is the ratio

Light of wavelength 6000 A 0 is incident normally on a slit of width 24 × 10 − 5 cm. Find out the angular position of second minimum from central maximum

Light of wavelength 6328 A 0 is incident normally on a slit of width 0.2 mm. Calculate the angular width of central maximum on a screen distance 9 m.

Find the half angular width of the central bright maximum in the Fraunhofer diffraction pattern of a slit of width 12 × 10 − 3 cm when the slit is illuminated by monochromatic light of wavelength 6000 A 0 .

The maximum intensity in case of interference of n identical waves, each of intensity , if the interference is (i) coherent and (ii) incoherent respectively are

A source emits electromagnetic waves of wavelength 3 m. One beam reaches the observer directly and other after reflection from a water surface, travelling 1.5 m extra distance and with intensity reduced to 1/4 as compared to intensity due to the direct beam alone. The resultant intensity will be

In YDSE, a source of wavelength 6000 A 0 is used. The screen is placed 1 m from the slits. Fringes formed on the screen, are observed by a student sitting close to the slits. The student’s eye can distinguish two neighboring fringes. If they subtend an angle more than 1 minute of arc. What will be the maximum distance between the slits so that the fringes are clearly visible

A young’s double slit arrangement produce interference fringes for sodium light λ = 5890 A o that are 0.15 0 apart. What is the angular fringe separation, if the entire arrangement is immersed in liquid of refractive index 5/3.

White light may be considered to be a mixture of wave with λ ranging between 3900 A 0 and 7800 A 0 . An oil film of thickness 10 , 000 A 0 is examined normally by reflected light. If μ = 1.4 , then the film appears bright for

Consider an YDSE that has different slits width. As a result, amplitudes of waves from two slits are A and 2A, respectively. If I 0 be the maximum intensity of the interference pattern, then intensity of the pattern at a point where phase difference between waves is , is

In a standard YDSE apparatus a thin film μ = 1.5 , t = 2.1 μ m is placed to front of upper slit. How far above or below the center point of the screen is nearest maxima located? Take D = 1m, d = 1 mm, λ = 4500 A 0 .(Symbols have usual meaning)

In an experiment to demonstrate interference of light using Young’s double slits, separation of two slits is doubled. In order to maintain same spacing of fringes, distance D of screen from slits must be changed to kD. What is the value of k?

Plane wavefronts are incident on a spherical mirror as shown. The reflected wavefronts will be

In a Young’s double slit experiment, two slits are illuminated by a mixture of two wavelengths 12000 A 0 and 10000 A 0 . At 6.0 mm from the common central bright fringe on a screen 2 m away from the slits, a bright fringe of one interference pattern coincides with the bright fringe of other. Calculate the distance (in mm) between the slits.

Calculate the minimum thickness of the film μ = 1.4 in which interference of violet component λ = 400 n m of incident light can take place by reflection.

In a Young’s double slit experiment, slits are illuminated by a monochromatic source of wavelength 6000 A 0 and fringes are obtained. If screen is moved by a distance of 5 cm towards slits, change in fringe width is 3 × 10 − 5 m , then what will be the separation (in mm) between the slits?

The headlights of a truck are 1.5 m apart. How far away could the truck and the headlights just be resolved by a person’s eye. (Take wavelength of light is 550 nm, diameter of pupil is 7 mm and refractive index of vitreous humor in eye is 1.36)

In Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index 1.5 is introduced in the path of one of the beams. When this plate in replaced by another plate of the same thickness, the shift of fringes is (3/2)x. The refractive index of the second plate is

The ratio of the intensity at the center of a bright fringe to the intensity at a point one-quarter of the distance between two fringe from the center is

A Lloyd’s mirror of length 5 cm is illuminated with monochromatic light of wavelength λ = 6000 A 0 from a source 5 cm from its near edge. Find the fringe width on a screen 120 cm from the source . The perpendicular distance of the source from the mirror is 1 mm.

Two coherent sources of intensity ratio α interfere. The value of I m a x – I m i n I m a x + I m i n is :

The resolving power of a telescope depends on

In a Young’s double slit experiment, D equals the distance of screen from the slits and d is the separation between the slits. The distance of the nearest point from the central maximum where the intensity is same as that due to a single slit, is equal to

In Young’s double slit experiment, the wavelength of red light is 7 .8 × 10 − 5 cm and that of the blue light is 5 .2 × 10 − 5 cm . The value of n for which n + 1 th blue bright band coincides with n th red band is

In Young’s double slit experiment, if slit separation is equal to 10 λ where λ is wavelength of light used). How many bright fringes are expected (visible) on the screen ?

In young double slit experiment, the fringe width is β . If the entire arrangement is now placed inside a liquid of refractive index μ = 4 3 , the new fringe width will be

In Young’s double slit experiment, one slit is covered with red filter and another slit is covered by green filter, then interference pattern will be

Optically active substances are those substance which

The colour of bright fringe nearest to central achromatic fringe in the interference pattern with white light will be

In for a calcite crystal, μ 0 and μ e are the refractive indices of the crystal for O-ray and E-ray respectively, then along the optic axis of the crystal

The colours seen in the reflected white light from a thin oil film are due to

Which of the following cannot be polarized?

In Young’s double slit experiment intensity at a point is (1/4) of the maximum intensity. Angular position of this point is

When a compact disc is illuminated by small source of white light coloured bands are observed. This is due to

Fluorescent tubes give more light than a filament bulb of same power because

The transverse nature of light is shown by

A Young’s double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is

The Young’s double slit experiment is performed with blue and with green light of wavelengths 4360 A 0 and 5460 A 0 respectively. If x is the distance of 4th maximum from the central one, then

If yellow light emitted by sodium lamp in Young’s double slit experiment is replaced by a monochromatic blue light of the same intensity

When a drop of oil is spread on a water surface, it displays beautiful colours in daylight because of

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is

In Young’s double slit experiment, one of the slits is wider than other, so that amplitude of the light from one slit is double of that from other slit. If I o is the maximum intensity, the resultant intensity I when they interfere at phase difference ϕ , is given by

In the Ideal double slit experiment, when a glass – plate (refractive index 1.5) of thickness t is introduced in the path of one of the interfering beams (wavelength λ ) the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass – plate is

A narrow slit of width 1 mm is illuminated by monochromatic light of wavelength 600 nm. The distance between the first minima on either side of a screen at a distance of 2 m is

In young’s double slit experiment between slits is 0.2 mm and they are 1 m from the screen. Find the distance between 8th maxima and 12th minima, if wavelength of light used is 500 nm.

Light waves from two coherent sources of amplitude ratio 9 : 1 produce interference. Find the ratio of maxima and minima intensities.

The length of plane mirror is 1cm. The wavelength of source is 5000 A 0 . The number of maxima formed on the large screen are (P is central point on screen)

In a Fresnel’s diffraction arrangement, the screen is at a distance of 2 meter from a circular aperture. It is found that for light of wavelengths λ 1 and λ 2 , the radius of 4 t h zone for λ 1 coincides with the radius of 5 t h zone for λ 2 . Then the ratio λ 1 : λ 2 is

Two polaroid are kept crossed to each other. Now one of them is rotated through an angle of 45 0 . The percentage of incident light now transmitted through the system is

The wavefront of a light beam is given by the equation x + 2y + 3x = c (where c is arbitrary constant), then the angle made by the direction of light with the y-axis is

If n represents the order of a half period zone, the area of this zone is approximately proportional to n m where m is equal to

A parallel beam of monochromatic light of wave-length 450 nm passes through a slit of width 0.2 mm. Find the angular divergence in which most of the light is diffracted

A plate of Thickness ‘t’ made of a material of refractive index μ is placed in front of one of the slits in a double slit experiment. What should be the minimum thickness ‘t’ which will make the intensity at the center of fringe pattern zero?

Two thin parallel slits that are 0.012 mm apart are illuminated by a laser beam of wavelength 650 nm. On a very large distant screen, the total number of bright fringes including the central fringe and those on both sides of it is

Pick out the correct statements

A plane polarized beam of intensity I is incident on a polariser with the electric vector inclined at 30 0 to the optic axis of the polariser passes through an analyzer whose optic axis is inclined at 30 0 to that of polariser. Intensity of light coming out of the analyzer is

The wavefront of a light beam is given by the equation x + 2y + 3z = c (where c is arbitrary constant), then the angle made by the direction of light with the y-axis is

In a double-slit experiment, instead of taking slits of equal width, one slit is made twice as wide as the other. Then, in the interference pattern

Mark the incorrect statement

The resolving power of an electron microscope can be increased by

Two slits separated by a distance of 1 mm, are illuminated with red light of wavelength 6.5 × 10 – 7 m. The interference fringes are observed on a screen place 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe is equal to

In the diffraction pattern of single slit under bichromatic illumination, the first minimum with the wavelength λ 1 is found to be coincident with the third maximum at λ 2 . So

Young’s double-slit experiment is made in a liquid. The 10th bright fringe in liquid lies where 6th dark fringe lies in vacuum. The refractive index of the liquid is approximately

A polarizer-analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the polarizer -analyser set does not absorb any light, the angle by which of the analyser need to be rotated further to reduce the output intensity to be zero is

Visible light of wavelength 6000 × 10 − 8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 6 0 0 from the central maximum. If the first minimum is produced at θ 1 , then θ 1 , is close to,

In a Young’s double slit experiment, the separation between the slits is 0.15 mm. In the experiment, a source of light of wavelength 589 nm is used and the interference pattern is observed on a screen kept 1.5 m away. The separation between the successive bright fringes on the screen is:

A microscope has its numerical aperture of 0.16. If wavelength of light used is 5500 A o , The resolving power of the microscope is

In YDSE of equal width slits, if intensity at the centre of screen is I 0 , then intensity at a point on the screen which is at a distance of β 4 from central maxima is( β = f r i n g e w i d t h )

In young’s double slit experiment, the separation between two coherent sources s 1 and s 2 is d and the distance of screen from the sources is D(D>>>d). In the interference pattern it is observed that a maximum is formed exactly infront of one slit. Then minimum possible wavelength used in the experiment is

The aperture diameter of a telescope is 5 m. The separation between the moon and the earth is 4 × 10 5 k m . With light of wavelength of 5500 A 0 , the minimum separation between objects on the surface of moon, so that they are just resolved, is close to:

In a Young’s double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength λ is used. Then the value of λ is ( in n m )

Interference fringes are observed on a screen by illuminating two thin slits 1mm apart with a light source λ = 632.8 n m . The distance between the screen and the slits is 100cm. If a bright fringe is observed on a screen at a distance of 1.27mm from the central bright fringe, then the path difference between the waves, which are reaching this point from the slits is close to:

In YDSE , the two slits are separated by 0 .1 mm and they are 0 .5 m from the screen . The wavelength of light used is 5000 A 0 . Find the distance of 11th dark from the central maximum of the screen.

In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance between the slits is 0.05 mm, the angular width (in degree) of the fringes formed on the distance screen is close to :

Two light waves having the same wavelength λ in vacuum are in phase initially. Then the first wave travels a path L 1 through a medium of refractive index n 1 while the second wave travels a path of length L 2 through a medium of refractive index n 2 . After this the phase difference between the two waves is :

A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 W m − 2 falls normally on a polariser (cross sectional area 3 × 10 − 4 m 2 ) which rotates about its axis with an angular speed of 31.4 rad/s. The energy of light passing through the polariser per revolution, is close to :

Orange light of wavelength 6000 × 10 − 10 m illuminates a single slit of width 0.6 × 10 − 4 m . The maximum possible number of diffraction minima produced on both sides of the central maximum is

In young’s double slit experiment, when one of the slits is covered with a thin transparent sheet of thickness t and refractive index 1.6. The central bright fringe is shifted by a distance d/4. When the other slit is also covered by a thin transparent sheet of thickness 2t and refractive index μ , the central bright fringe is again sifted to its original position. Then find the value of μ .

When an unpolarised ray of light falls at the air-glass interface at an angle of incidence 60 o , it is observed that the angle between the reflected ray and the refracted ray is 90 o . Then the refractive index of glass is ( 3 = 1.732 )

In Young’s double slits experiment fringe width is β . Intensity at a point on the screen does not change when one of the slit is closed or opened, then the minimum distance of that point from the central maximum is

In a Young’s double slit experiment using slits of equal width, if width of one of the slits is doubled and the whole arrangement is immersed in water ( μ = 4 3 ) , then fringe width

In Young’s double slit experiment the wavelength of light used is 500 nm. If the path difference between waves reaching a point P on the screen is 1.5 microns, then at that point P

In young’s double slit experiment the angular width of a fringe formed on a distant screen is 1 o . The wavelength of light used is 6000 A o . What is the spacing between the slits?

A telescope of diameter 2m uses light of wavelength 5000 A 0 for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

In the far field diffraction pattern of a single slit under polychromatic illumination, the first minimum with the wavelength λ 1 is found to be coincident with the third maximum at λ 2 . So

A double slit experiment is immersed in a liquid of refractive index 1.33. It has slit separation of 1mm and distance between the plane of slits and screen 1.33m. The slits are illuminated by a parallel beam of light whose wavelength in air is 6300 A 0 .Find fringe width

In young double slit experiment λ = 500 nm , d = 1 mm and D = 1 m .The minimum distance from the central maximum where intensity is half of the maximum intensity is (assume intensity from each slit is same)

If unpolarized light is incident on a crystal at 60 0 so that the refracted light is completely polarized. The refractive index of the crystal should be :

Coherent light with wavelength 600 nm passes through two very narrow slits and the interference pattern is observed on a screen 3.00 m from the slits. The first order bright fringe is at 4.94 mm from the center of the central bright fringe. For what wavelength (in nm) of light will the first order dark fringe be observed at this same point on the screen?

If one of the two slits of Young’s double slit experiment is halved, the

Resolving power of electron microscope is proportional to

In young’s double slit experiment path differences at two points A and B between two waves emerging from slits s 1 and s 2 are λ 6 and λ 4 respectively. Then the ratio of intensities at A and B will be :

Consider the Young’s Double Slit Experiment arrangement shown in figure. If d = 10 λ then position of 8 th order maxima is y = p 3 D . Find the value of p .

Two coherent point sources S 1 and S 2 vibrating in phase emit light of wavelength λ . The separation between the sources is 2 λ . The smallest distance from S 2 on a line passing through S 2 and perpendicular to S 1 ,S 2 , where a minimum of intensity occurs is:

Light of wavelength 6000 A o is incident on a single slit. First minimum is obtained at a distance of 4 mm from the centre. If the width of the slit is 0.3 mm, then distance between slit and screen will be

To make the central fringe at the center O. A mica sheet of refractive index 1.5 is introduced. Choose the correct statements(s)

A small circular disc is placed in the path of light from a distant source. Identify the nature of the fringe produced.

In Young’s double slit experiment, the distance between two slits that results in the third minimum for 680 nm red light at the angle of 30 o , is

In Young’s double slit experiment, what is the distance between the slits which give the third maximum at angle of 30 0 with red light of wavelength 680 nm?

In YDSE, how many maxima can be obtained on the screen if wave length of radiation used is 200 nm and d = 700 nm

The concept of secondary wavelets from all points on a wavefront was first proposed by :

The wavefront is a surface in which :

In Huygens’ wave theory, the locus of all points in the same state of vibration is called :

Power of point source is 18 mW. Find the intensity 2.5 m away from the source.

Two monochromatic light waves of amplitude A and 2A interfering at a point, have a phase difference of 60°. The intensity at that point will be proportional to :

Two coherent monochromatic light beams of intensities I and 4I are superposed, the maximum and minimum possible intensities in the resulting beam are :

In Young’s double slit experiment the angular width of a fringe formed on a distant screen is 1°. The wavelength of light used is 6000 A. The spacing between the slits is approximately :

A light ray of frequency v and wavelength λ enters a liquid of refractive index 3/2. The ray travels in the liquid with

A monochromatic beam of light passes from a denser medium into a rarer medium. As a result

Wavefront means

If ε 0 and μ 0 are respectively the electric permittivity and the magnetic permeability of free space and ε and μ the corresponding quantities in a medium, the refractive index of the medium is

Wavefront of a wave has direction with wave motion

Rays diverge from a point source of a wavefront that is

Intensities of the two waves of light are I and 4I. The maximum intensity of the resultant wave after superposition is

Two waves of intensity I undergo interference. The maximum intensity obtained is

If two light waves having same frequency have intensity ratio 4 : 1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

Light waves producing interference have their amplitudes in the ratio 3 : 2. The intensity ratio of maximum and minimum interference fringes is

In the interference pattern, energy is

Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2 π l radian. If there is a maximum in direction D the distance XO using n as an integer is given by

Among the two interfering monochromatic sources A and B; A is ahead of B in phase by 66 0 . If the observation be taken from point P, such that PB − PA = λ / 4 . Then the phase difference between the waves from A and B reaching P is

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 90 0 . A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

In Young’s double slit experiment, if monochromatic light is replaced by white light

The maximum intensity of fringes in Young’s experiment is I. If one of the slit is closed, then the intensity at that place becomes I 0 . Which of the following relation is true?

The slits in a Young’s double slit experiment have equal widths and the source is placed symmetrically relative to the slits. The intensity at the central fringes is I 0 . If one of the slits is closed, the intensity at this point will be

Two coherent sources of intensity ratio 1 : 4 produce an interference pattern. The fringe visibility will be

In Young’s double slit experiment, when two light waves form third minimum, they have

Two slits at a distance of 1 mm are illuminated by a light of wavelength 6.5 × 10 − 7 m . The interference fringes are observed on a screen placed at a distance of 1 m. The distance between third dark fringe and fifth bright fringe will be

In Young’s double slit experiment the amplitudes of two sources are 3a and a respectively. The ratio of intensities of bright and dark fringes will be

In the Young’s double slit experiment with sodium light, the slits are 0.589 m apart. The angular separation of the third maximum from the central maximum will be (given λ = 589 mm )

In Young’s double slit experiment, an interference pattern is obtained on a screen by a light of wavelength 6000 Å , coming from the coherent sources S 1 and S 2 . At certain point P on the screen third dark fringe is formed. Then the path difference S 1 P − S 2 P in microns is

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength λ . In another experiment with the same set up the two slits are of equal amplitude A and wavelength λ but are incoherent. The ratio of the intensity of light at the midpoint of the screen in the first case to that in the second case is

In Young’s double slit interference experiment, the slit separation is made 3 fold. The fringe width becomes

In the set up shown in Fig, the two slits S 1 and S 2 are not equidistant from the slit S. The central fringe at O is then

Two coherent sources of equal intensity produce maximum intensity of 100 units at a point. If the intensity of one of the sources is reduced by 36% reducing its width, then the intensity of light at the same point will be

In Young’s double slit experiment, the 8th maximum with wavelength λ 1 is at a distance d 1 from the central maximum and the 6th maximum with a wavelength λ 2 is at a distance d 2 . Then (d 1 /d 2 ) is equal to

Two coherent light sources S 1 and S 2 ( λ = 6000 Å ) are 1 mm apart from each other. The screen is placed at a distance of 25 cm from the sources. The width of the fringes on the screen should be

The Young’s experiment is performed with the lights of blue ( λ = 4360 Å ) and green colour ( λ = 5460 Å ) . If the distance of the 4th fringe from the centre is x, then

In two separate set-ups of the Young’s double slit experiment, fringes of equal width are observed when lights of wavelengths in the ratio 1 : 2 are used. If the ratio of the slit separation in the two cases is 2 : 1, the ratio of the distances between the plane of the slits and the screen in the two set-ups is

In Young’s double slit experiment, 62 fringes are seen in visible region for sodium light of wavelength 5893 Å . If violet light of wavelength 4358 Å is used in place of sodium light, then number of fringes seen will be

In Young’s double slit experiment, angular width of fringes is 0.20 0 for sodium light of wavelength 5890 Å . If complete system is dipped in water, then angular width of fringes becomes

In a Young’s experiment, two coherent sources are placed 0.90 mm apart and the fringes are observed one metre away. If it produces the second dark fringe at a distance of 1 mm from the central fringe, the wavelength of monochromatic light used would be

Two parallel slits 0.6 mm apart are illuminated by light source of wavelength 6000 Å. The distance between two consecutive dark fringes on a screen 1 m away from the slits is

If a transparent medium of refractive index μ = 1.5 and thickness t = 2.5 × 10 − 5 m is inserted in front of one of the slits of Young’s Double Slit experiment, how much will be the shift in the interference pattern? The distance between the slits is 0.5 mm and that between slits and screen is 100 cm

In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

In a Young’s double-slit experiment the fringe width is 0.2 mm. If the wavelength of light used is increased by 10% and the separation between the slits is also increased by 10%, the fringe width will be

In Young’s double slit experiment, the distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 Å Then angular position of the first dark fringe is

In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the sits. If the screen is moved by 5 × 10 − 2 m towards the slits, the change in fringe width is 3 × 10 − 5 m . If separation between the slits is 10 − 3 m , the wavelength of light used is

In a Young’s double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength λ 0 = 750 nm and λ = 900 nm . The minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other is

A thin mica sheet of thickness 2 × 10 − 6 m and refractive index ( μ = 1.5 ) is introduced in the path of the first wave. The wavelength of the wave used is 5000 Å. The central bright maximum will shift

When one of the slits of Young’s experiment is covered with a transparent sheet of thickness 4.8 mm, the central fringe shifts to a position originally occupied by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe?

A flake of glass (refractive index 1.5) is placed over one of the openings of a double slit apparatus. The interference pattern displaces itself through seven successive maxima towards the side where the flake is placed. if wavelength of the diffracted light is λ = 600 nm , then the thickness of the flake is

A double slit arrangement produces interference fringes for sodium light ( λ = 589 nm ) that have an angular separation of 3.50 × 10 − 3 radian. For what wavelength would the angular separation be 10% greater?

A slit of width a is illuminated by white light. For red light ( λ = 6500 Å ) the first minima is obtained at θ = 30 ∘ . Then the value of a will be

A slit of size 0.15 cm is placed at 2.1 m from a screen. On illuminated it by a light of wavelength 5 × 10 − 5 cm . The width of central maxima will be

A diffraction is obtained by using a beam of red light. What will happen if the red light is replaced by the blue light?

In a diffraction pattern by a wire, on increasing diameter of wire, fringe width

Direction of the first secondary maximum in the Fraunhofer diffraction pattern at a single slit is given by (a is the width of the slit)

A light wave is incident normally over a slit of width 24 × 10 − 5 cm . The angular position of second dark fringe from the central maxima is 30 0 . What is the wavelength of light?

In the far field diffraction pattern of a single slit under polychromatic illumination, the first minimum with the wavelength λ 1 is found to be coincident with the third maximum at λ 2 . So

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on a screen placed on the focal plane. The first minimum will be formed for the angle of diffraction equal to

Light of wavelength λ = 5000 Å falls normally on a narrow slit. A screen is placed at a distance of 1 m from the slit and perpendicular to the direction of light. The first minima of the diffraction pattern is situated at 5 mm from the centre of central maximum. The width of the slit is

A parallel beam of wavelength λ = 450 × 10 − 9 m passes through a long slit of width 2 × 10 − 4 m . The angular divergence for which most of light is diffracted is

Given: width of aperture d = 3 mm and λ = 500 nm . For what distance ray optics is a good approximation?

A calcite crystal is placed over a dot on a piece of paper and rotated, on seeing through the calcite one will be see

A ray of light falls on a transparent glass plate. Some part of it is reflected and some part is refracted. The reflected and refracted rays can be perpendicular to each other for

When light is incident from air to glass at an angle 57 0 ,the reflected beam is completely polarised. If the same beam is incident from water to glass, the angle of incidence at which reflected beam is completely polarised will be

Polaroid sheets are often used for making sun glasses. This is because polaroid glass.

The angle of polarisation for any medium is 60 0 . What will be critical angle for this?

A polaroid is placed at 45 ∘ to an incoming light of intensity I 0 . Now the intensity of light passing through polaroid after polarisation would be

A light has amplitude A and angle between analyser and polariser is 60 ∘ . Light is transmitted by analyser has amplitude

Unpolarised light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the final transmitted light is one-third the maximum intensity of the first transmitted beam?

Two Nicols are oriented with their principal planes making an angle of 60 0 . The percentage of incident unpolarised light which passes through the system is

Figure represents a glass plate placed vertically on a horizontal table with a beam of unpolarised light falling on its surface at the polarising angle of 57 0 with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a

Unpolarised light of intensity 32 Wm − 2 passes through three polarizers such that transmission axes of the first and second polarizer makes and angle 30 0 with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of final emerging light will be

A beam of light AO is incident on a glass slab ( μ = 1 .54 ) in a direction as shown in figure. The reflected ray OB is passed through a Nicol prism on viewing through a Nicole prism, we find on rotating the prism that

When the angle of incidence on a material is 60 ∘ , the reflected light is completely polarized. The velocity of the refracted ray inside the material is in ms − 1

Specific rotation of sugar solution is 0.01 SI units. 200 kgm − 3 of impure sugar solution is taken in a polarimeter tube of length 0.25 m and an optical rotation of 0.4 rad is observed. The percentage of purity of sugar is the sample is

A screen is placed at 50 cm from a single slit, which is illuminated with 600 nm light. If separation between the first and third minima in the diffraction pattern is 3.0 mm, then width of the slit is:

If in single slit diffraction pattern, first minima for red light (600 nm) coincides with first maxima of some other wavelength λ , then λ would be

In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen is given by

In a Young’s double slit experiment, first maxima is observed at a fixed point P on the screen. Now the screen is continuously moved away from the plane of slits. The ratio of intensity at point P to the intensity at point O (centre of the screen)

Two ideal slits S 1 and S 2 are at a distance d apart, and illuminated by light of wavelength λ passing through an ideal source slit S placed on the line through S 2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is

In a double slit arrangement fringes are produced using light of wavelength 4800 Å . One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original fifth bright fringe from centre. Thickness of glass plate is

In a double slit experiment, interference is obtained from electron waves produced in an electron gun supplied with voltage V. If λ is wavelength of the beam, D is the distance of screen, d is the spacing between coherent sources, ft is Planck’s constant, e is charge on electron and m is mass of electron, then fringe width is given as

When a compact disc is illuminated by a source of white light, coloured lines are observed. This is due to

When exposed to sunlight, thin films of oil on water often exhibit brilliant colours due to the phenomenon of

In Young’s double slit experiment, white light is used. The separation between the slits is b. The screen is at a distance d ( d > b ) from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are

Statement 1: In Young’s double slit experiment using white light, the central fringe is white, the violet coloured fringe will be seen nearest to the central fringe. Statement 2: Red coloured fringe will be seen near central fringe.

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refraction index n) is

When an unpolarised light of intensity I 0 is incident on a polarizing sheet, the intensity of the light which does not get transmitted is

In the Young’s double slit experiment, the spacing between two slits is 0.1 mm. If the screen is kept at a distance of 1.0 m from the slits and the wavelength of light is 5000 Å , then the fringe width is

In Young’s double slit experiment when wavelength used is 6000 Å and the screen is 40 cm from the slits, the fringes are 0.012 cm wide. What is the distance between the slits?

In Young’s double slit experiment, the aperture screen distance is 2 m. The fringe width is 1 mm. Light of 600 nm is used. If a thin plate of glass ( μ = 1 .5 ) of thickness 0.06 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by

A monochromatic beam of light falls on YDSE apparatus at some angle ( say θ ) as shown in figure. A thin sheet of glass (Refractive index = μ ) is inserted in front of the lower slit S 2 . The central bright fringe will be obtained

If yellow light in the Young’s double slit experiment is replaced by red light, the fringe width will

A double slit experiment is performed with light of wavelength 500 run. A thin film of thickness 2 μm and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will

An astronaut is looking down on earth’s surface from a space shuttle at an altitude of 400 km. Assuming that the astronaut’s pupil diameter is 5 mm and the wavelength of visible light is 500 nm, the astronaut will be able to resolve linear objects of the size of about

Refractive index of a long cylinder made of transparent material is increasing as we are moving away from its axis. A beam of parallel rays, parallel to the axis of the cylinder is incident on one end of the rod as shown in figure. Then which of the following diagrams correctly shows the shape of wavefront inside the rod?

In young’s double slit experiment with slits of equal width, the slits are covered with sheets of transparent material having thickness 1 mm and refractive index 1.6 and thickness ‘t’ and refractive index 1.4. If the central bright fringe is formed at the position where it was previously formed when the slits were un covered, find ‘t’.

In Young’s double slit experiment, a beam of light which is a mixture of three wavelengths λ 1 , λ 2 and λ 2 , is incident normally on the on the plane of the slits. If third maximum of λ 1 , fourth minimum of λ 2 and second maximum of λ 3 coincide on the screen, then λ 1 : λ 2 : λ 3 is

In Young’s double slit experiment, the slits are of equal width and maximum intensity of light on the screen is found to be I m . Now one of the slits is covered with a thin sheet of thickness 15 λ 4 , made of material of refractive index 1.2. Then intensity of light at the mid point of the source is

In Young’s double slit experiment intensity of light emerging from each slit is I 0 . Wavelength of light used is λ , separation between the slits is d and separation between the slits and screen is D. P is a point on the screen where the resultant intensity is 3I 0 . Then the minimum path difference between rays emerging from the slits at point P is

In Young’s double slit experiment, number of fringes formed on a given length on the screen is 15. Now the whole experimental set-up is immersed in a liquid of refractive index 5/3. Then number of fringes formed on the same length on the screen is

In the diagram shown, S is a source of light emitting plane polarized light with plane of polarization parallel to the plane of the figure having wavelength λ . M is a perfectly reflecting plane mirror. Intensity of light emitted by the source S is I 0 . If SM = MP = SP = N λ where N = 10 6 , then intensity of light at P is

In Young’s double slit experiment width of fringe produced on the screen is β . Now one of the slits is covered with a sheet of glass μ = 1.5 of thickness t = 8 λ where λ is the wavelength of light used. Then distance of the new position of central bright fringe from the previous position of central bright fringe is

In Fraunhoffer diffraction pattern width of central bright fringe is β . If wavelength of light is doubled and slit width is halved, distance of second dark fringe from the centre of central bright fringe is

In Fraunhoffer diffraction, width of slit is 0.01 mm and wavelength of light used is 500 nm. Geometrical optics is valid upto a distance x from the plane of slit. Then x is

In two setups of Young’s double – slit experiment, if lights used have the ratio of wavelengths as 1 : 2, then fringes of equal width are observed. If the ratio of slit separation is 2 : 1 then the ratio of the distance between slit and screen D 1 : D 2 will be

Two point sources separated by 2.0 m are radiating in phase with λ = 0.50 m . A detector moves in a circular path around the two sources in a plane containing them. How many maxima are detected?

In a YDSE light of wavelength λ is used, which emerges in phase from two slits a distance d apart. A transparent sheet of thickness t is refractive index μ , is placed over one of the slits.Distance of screen from the plane of the slits is D. Then the distance of the central maxima of the interference npattern from the centre of the screen is

Statement 1: In Young’s double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper. Statement 2: The cellophane paper decrease the wavelength of light.

Statement 1: The unpolarised light and polarized light can be distinguished from each other by using polaroid. Statement 2: A polaroid is capable of producing plane-polarized beams of light.

How does the red shift confirm that the universe is expanding?

When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is

The wavelength of 10 keV electron beam is 0.1227 A° When these waves are diffracted from a metal foil having d = 0.55 A°. At angle ? of first maxima will be present, then what will be the value of sin ?:

When a tiny circular obstacle is placed in the path of light from distant source. What is observed at the centre of the shadow of the obstacle :

In a single slit diffraction experiment, the width of the slit is made double the original width. How does this affect the intensity of the central diffraction band?

What will be the angular width of central maxima in frunhofer diffraction when light of wavelength 6000 Å is used and slit width is 12 × 10 − 5 cm ?

In Young’s double slit experiment the distance between the slits is 1 mm. Find the width of each slit of YDSE setup so that 10th maxima of the double slit pattern is within the central maximum of the single slit pattern?

Resolving power of a microscope depends upon

The diameter of the objective lens of a telescope is 5.0 m and wavelength of light is 6000 Å. The limit of resolution of this telescope will be

When diameter of the aperture of the objective of an astronomical telescope is increased, its

The diameter of the objective of a telescope is a, its magnifying power is m and wavelength of light is λ . The resolving power of the telescope is

The resolving power of a telescope whose lens has a diameter of 1.22 m for a wavelength of 5000 Å is

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 Å is of the order

The resolving power of an astronomical telescope is 0.2 seconds. If the central half portion of the objective lens is covered, the resolving power will be

At Kavalur in India, the astronomers using a telescope whose objective had a diameter of one meter started using a telescope of diameter 2.54 m. This resulted in

Two waves having the intensities in the ratio of 9;1 produce interference. The ratio of maximum to minimum intensity is equal to

Two coherent monochromatic light beams of intensities I and 4 l are superposed, The maximum and minimum possible intensities in the resulting beam are

The intensity ratio of the two interfering beams of light is β What is the value of I max − I min / I max + I min ?

The intensity of light coming from one of the slits in Young’s double slit experiment is double the intensity from the other slit. The ratio of maximum intensity to minimum intensity in the interference pattern will be

In Young double slit experiment, an electron beam is used to obtain interference pattern. The slit width is d. if the speed of electron is increased, then

In a double slit interference experiment the distance between the slits is 0.05 cm and screen is 2 m away from the slits. The wavelength of light is 6.0 x10 -5 cm The distance between the fringes is

In Young’s double slit experiment, the separation between the slit is halved and the distance between the slits and screen is doubled, The fringe width is

In the Young’s experiment with sodium light, the slits are o .589 mm apart. what is the angular width of the fourth maximum ? Given that λ . = 589 nm

In Young’s double slit arrangement, the 7th maximum with wavelength λ 1 is at a distance d 1 . and that with wavelength λ 2 is at a distance d 2 Then d 1 /d 2 is

Two point white dots are 1 mm apart on a black paper:. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which these dots can be resolved by the eye ? [Take λ =500 mg]

In Young’s double slit experiment, the 8th maximum with wavelength λ 1 is at a distance d 1 from central maximum.and 6 th maximum with wavelength λ 2 is at a distance d 2 .then d 1 / d 2 is

Two slits separated by a distance of 1 mm are illuminated with light of wavelength 6 .0 x 10 -7 m. The interference fringes are observed on a screen placed 1 m from the slits. The distance between third dark fringe and the fifth bright fringe is equal to

Interference fringes were produced in Young’s double slit experiment using light of wavelength 5000 A. When a film of material 2.5 x 1O-3 cm thick was placed over one of the slits, the fringe pattern shifted by a distance equal to 20 fringe widths. The reactive index of the material of the film is

The first diffraction minima due to a single slit diffraction is at θ = 30 ∘ for a light of wavelength 5000 A the width of the slit is

A ray of tight is incident on the surface of a glass plate’ at an angle of incidence equal to Brewster’s angle ϕ If μ represents the refractive index of glass with respect to air, then the angle between reflected and refracted rays is

In a Young’s double slit experiment the intensity at a point where the path difference is λ 6 ( λ being the wavelength of the light used) is I .If I o denotes the maximum intensity I I 0 is equal to

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude a and of wavelength λ In other experiment with the same set up, the two slits are sources of equal amplitude a and wavelength λ , but arc incoherent’ The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is

In a Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index 1. 5 is introduced in the path of one of the beams. when this plate is replaced by another plate of the same thickness, the shift of fringes is [3/2) x. The refractive index of the second plate is

A person sets up Young’s experiment using a sodium Iamp and placing two slits 1 metre from a screen’ The person is not sure of slit separation and he varies the separation and finds that the interference fringes disappear if the slits are too far apart. The angular resolution of his eye is (1/60). How far apart are the slits when he just cannot see the interference pattern ? [ λ = 5890 Å ]

Light of wavelength 5.0 x 10 -7 m falls on a pair of narrow slits separated by a distance (2d). The interference pattern on a screen placed 2.0 m away shows that there is darkness at the position exactly opposite to each slit. The separation between the slits

A slit 5.0 cm wide is irradiated normally with microwaves of wavelength 1 . 0 cm. Then the angular spread of the central maximum on either side of the incident light is nearly

In a certain region A to in B thin film, we get 10 fringes with light of wavelength 4358 Å The number of fringes observed in the same region with wavelength 5893 Å will bi

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 mm. the light is focused by convex lens on a screen placed on focal plane. The first minimum will be formed for the angle of diffraction equals to

In Young’s double slit arrangement, let β be the fringe width and let I o be the intensity at the central bright fringe. At a distance x from the central bright fringe, the intensity will be

Light of wavelengths λ 1 and λ 2 is made incident successively on the surface of metal Light of wavelength λ 1 produces photo-electric effect whereas light of wavelength λ 2 does not. Then interference is produced using these light sources, the fringe widths0 obtained are β 1 and β 2 respectively, then

In an ideal double-slit experiment, when a glass plate (refractive index 1 .5) of thickness t is introduced in the path of one of the interfering beams {wavelength λ ) the intensity at the position where the central maximum occurred previously remains unchanged’ The minimum thickness of the glass-plate is

The idea of the quantum nature of light has emerged in an attempt to explain

Two coherent sources of light can be obtained by

Light appears to travel in straight lines since

The maximum number of possible interference maxima for slit separation equal to twice the wavelength in Young’s double slit experiment is

In the ideal double slit experiment, when a glass-plate refractive index 1 .5) of thickness t is introduced in the path of one of the interfering beams (wavelength i,,) the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 mm. The light is focussed by a convex lens on a screen placed on focal plane. The first minimum will be formed for the angle of diffraction equal to

Two points white dots are 1 mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which these dots can be resolved by the eye ? [Take λ = 500 nm ]

Two Polaroids are kept crossed to each other. Now one of them is rotated through an angle of 45 o The percentage of incident light now transmitted through the system is

By a monochromatic wave, we mean

The idea of secondary wavelets for the propagation of a wave was first given by

The similarity between the sound waves and light waves is

A wave can transmit …… from one place to another

If the ratio of intensities of two waves is 1 : 25, then the ratio of their amplitudes will be

Wave nature of light follows because

If L is the coherence length and c the velocity of light, the coherent time is

If the amplitude ratio of two sources producing interference is 3 : 5, the ratio of intensities at maxima and minima is

Two sources of waves are called coherent if

Soap bubble appears coloured due to the phenomenon of

Which of the following statements indicates that light waves are transverse

If two light waves having same frequency have intensity ratio 4 : 1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

Two waves having intensity in the ratio 25 : 4 produce interference. The ratio of the maximum to the minimum intensity is

Wavefront means

The ratio of intensities of two waves are given by 4 : 1. The ratio of the amplitudes of the two waves is

For the sustained interference of light, the necessary condition is that the two sources should

If the ratio of amplitude of two waves is 4 : 3, then the ratio of maximum and minimum intensity is

Which of the following is conserved when light waves interfere

Intensity of light depends upon

Ray diverging from a point source from a wave front that is

Ratio of amplitude of interfering waves is 3 : 4. Now ratio of their intensities will be

Two coherent sources have intensity in the ratio of 100 1 . Ratio of (intensity) max/(intensity) min is

If two waves represented by y 1 = 4 sin ⁡ ωt and y 2 = 3 sin ⁡ ωt + π 3 interfere at a point, the amplitude of the resulting wave will be about

The two waves represented by y 1 = asin ⁡ ( ωt ) and y 2 = bcos ⁡ ( ωt ) have a phase difference of

In a wave, the path difference corresponding to a phase difference of ϕ is

Two coherent sources of intensities, I 1 and I 2 produce an interference pattern. The maximum intensity in the interference pattern will be

Newton postulated his corpuscular theory on the basis of

The dual nature of light is exhibited by

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π 2 at point A and π at point B. Then the difference between the resultant intensities at A and B is

Coherent sources are those sources for which

Wave nature of light is verified by

Laser beams are used to measure long distance because

Light waves producing interference have their amplitudes in the ratio 3 : 2. The intensity ratio of maximum and minimum of interference fringes is

Two waves are represented by the equations y 1 = asin ⁡ ωt and y 2 = acos ⁡ ωt . The first wave

Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio

The frequency of light ray having the wavelength 3000 Å is

Two waves have their amplitudes in the ratio 1 : 9. The maximum and minimum intensities when they interfere are in the ratio

What is the path difference of destructive interference

Intensities of the two waves of light are I and 4I. The maximum intensity of the resultant wave after superposition is

Huygen’s principle of secondary wavelets may be used to

As a result of interference of two coherent sources of light, energy is

When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is

To demonstrate the phenomenon of interference, we require two sources which emit radiation

If an interference pattern have maximum and minimum intensities in 36 : 1 ratio then what will be the ratio of amplitudes

If the distance between a point source and screen is doubled, then intensity of light on the screen will become

The wave theory of light was given by

Huygen wave theory allows us to know

Which of the following is not a property of light

Which of the following phenomena can explain quantum nature of light

The phase difference between incident wave and reflected wave is 180° when light ray

What causes changes in the colours of the soap or oil films for the given beam of light

Select the right option in the following

Two waves of intensity I undergo Interference. The maximum intensity obtained is

Monochromatic green light of wavelength 5 × 10 − 7 m illuminates a pair of slits 1 mm apart. The separation of bright lines on the interference pattern formed on a screen 2 m away is

Young’s experiment establishes that

In the interference pattern, energy is

In Young’s double slit experiment, if the slit widths are in the ratio 1 : 9, then the ratio of the intensity at minima to that at maxima will be

In Young’s double slit interference experiment, the slit separation is made 3 fold. The fringe width becomes

In a certain double slit experimental arrangement interference fringes of width 1.0 mm each are observed when light of wavelength 5000 Å is used. Keeping the set up unaltered, if the source is replaced by another source of wavelength 6000 Å, the fringe width will be

Two coherent light sources S 1 and S 2 ( λ = 6000 Å) are 1mm apart from each other. The screen is placed at a distance of 25 cm from the sources. The width of the fringes on the screen should be

The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are nλ and ( n + 2 ) λ respectively, where n is a whole number and λ is the wavelength. Taking the central fringe as zero, what is formed at X

In Young’s double slit experiment, if one of the slit is closed fully, then in the interference pattern

In Young’s experiment, the distance between the slits is reduced to half and the distance between the slit and screen is doubled, then the fringe width

In Young’s double slit experiment, a glass plate is placed before a slit which absorbs half the intensity of light. Under this case

The maximum intensity of fringes in Young’s experiment is I. If one of the slit is closed, then the intensity at that place becomes I o . Which of the following relation is true ?

In the Young’s double slit experiment, the spacing between two slits is 0.1 mm. If the screen is kept at a distance of 1.0 m from the slits and the wavelength of light is 5000 Å, then the fringe width is

The Young’s experiment is performed with the lights of blue ( λ = 4360 Å) and green colour ( λ = 5460 Å), If the distance of the 4th fringe from the centre is x, then

An oil flowing on water seems coloured due to interference. For observing this effect, the approximate thickness of the oil film should be

In a Young’s double slit experiment, the central point on the screen is

Young’s experiment is performed in air and then performed in water, the fringe width

In double slits experiment, for light of which colour the fringe width will be minimum

In Young’s experiment, light of wavelength 4000 Å is used to produce bright fringes of width 0.6 mm, at a distance of 2 meters. If the whole apparatus is dipped in a liquid of refractive index 1.5, then fringe width will be

In Young’s double slit experiment, the phase difference between the light waves reaching third bright fringe from the central fringe will be ( λ = 6000 Å )

In Young’s double slit experiment, if the widths of the slits are in the ratio 4 : 9, the ratio of the intensity at maxima to the intensity at minima will be

In Young’s double slit experiment when wavelength used is 6000 Å and the screen is 40 cm from the slits, the fringes are 0.012 cm wide. What is the distance between the slits

In an interference experiment, the spacing between successive maxima or minima is

In two separate set – ups of the Young’s double slit experiment, fringes of equal width are observed when lights of wavelengths in the ratio 1 : 2 are used. If the ratio of the slit separation in the two cases is 2 : 1, the ratio of the distances between the plane of the slits and the screen in the two set – ups is

If yellow light in the Young’s double slit experiment is replaced by red light, the fringe width will

In Young’s double slit experiment, the fringe width is 1 × 10 − 4 m if the distance between the slit and screen is doubled and the distance between the two slits is reduced to half and wavelength is changed from 6 .4 × 10 – 7 m to 4 .0 × 10 − 7 m , the value of new fringe width will be

Two sources give interference pattern which is observed on a screen, D distance apart from the sources. The fringe width is 2w. If the distance D is now doubled, the fringe width will

In Young’s experiment, one slit is covered with a blue filter and the other (slit) with a yellow filter. Then the interference pattern

In double slit experiment, the angular width of the fringes is 0.20 o for the sodium light ( λ = 5890 Å). In order to increase the angular width of the fringes by 10%, the necessary change in the wavelength is

A thin mica sheet of thickness 2 × 10 − 6 m and refractive index ( μ = 1 .5 ) is introduced in the path of the first wave. The wavelength of the wave used is 5000 Å. The central bright maximum will shift

In Young’s double slit experiment, the slits are 0.5 mm apart and interference pattern is observed on a screen placed at a distance of 1.0 m from the plane containing the slits. If wavelength of the incident light is 6000 Å, then the separation between the third bright fringe and the central maxima is

In Young’s double slit experiment, 62 fringes are seen in visible region for sodium light of wavelength 5893 Å. If violet light of wavelength 4358 Å is used in place of sodium light, then number of fringes seen will be

In a biprism experiment, by using light of wavelength 5000 Å, 5 mm wide fringes are obtained on a screen 1.0 m away from the coherent sources. The separation between the two coherent sources is

In a Young’s double slit experiment, the fringe width will remain same, if (D = distance between screen and plane of slits, d = separation between two slits and λ = wavelength of light used)

In Young’s double slit experiment, the distance between the slits is 1 mm and that between slit and screen is 1 meter and 10th fringe is 5 mm away from the central bright fringe, then wavelength of light used will be

In Young’s double slit experiment, carried out with light of wavelength λ = 5000 Å, the distance between the slits is 0.2 mm and the screen is at 200 cm from the slits. The central maximum is at x =0. The third maximum (taking the central maximum as zeroth maximum) will be at x equal to

In Young’s double slit experiment, angular width of fringes is 0.20 o for sodium light of wavelength 5890 Å. If complete system is dipped in water, then angular width of fringes becomes

In Young’s double slit experiment, the distance between the two slits is 0.1 mm and the wavelength of light used is 4 × 10 − 7 m . If the width of the fringe on the screen is 4 mm, the distance between screen and slit is

In Young’s double slit experiment, the distance between sources is 1 mm and distance between the screen and source is 1 m. If the fringe width on the screen is 0.06 cm, then λ =

In Young’s double slit experiment, a mica sheet of thickness t and refractive index μ is introduced in the ray from the first source S 1 . By how much distance the fringes pattern will be displaced

In Young’s double slit experiment using sodium light ( λ = 5898 Å), 92 fringes are seen. If given colour ( λ = 5461 Å) is used, how many fringes will be seen

If a torch is used in place of monochromatic light in Young’s experiment what will happens

When a thin metal plate is placed in the path of one of the interfering beams of light

Two parallel slits 0.6 mm apart are illuminated by light source of wavelength 6000 Å. The distance between two consecutive dark fringes on a screen 1 m away from the slits is

In young’s double slit experiment with a source of light of wavelength 6320 Å, the first maxima will occur when

Two slits, 4 mm apart, are illuminated by light of wavelength 6000 Å. What will be the fringe width on a screen placed 2m from the slits

The fringe width in Young’s double slit experiment increases when

In a double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then in the interference pattern

Young’s double slit experiment is performed with light of wavelength 550 nm. The separation between the slits is 1.10 mm and screen is placed at distance of 1 m. What is the distance between the consecutive bright or dark fringes

If a white light is used in Young’s double slit experiments then a very large number of coloured fringes can be seen

In the Young’s double slit experiment with sodium light. The slits are 0.589 m a part. The angular separation of the third maximum from the central maximum will be (given λ = 589 mm)

In Young’s double slit experiment, the wavelength of the light used is doubled and distance between two slits is half of initial distance, the resultant fringe width becomes

In Young’s double slit experiment, the intensity of light coming from the first slit is double the intensity from the second slit. The ratio of the maximum intensity to the minimum intensity on the interference fringe pattern observed is

In Young’s double slit experiment, the distance between the two slits is made half, then the fringe width will become

If the sodium light in Young’s double slit experiment is replaced by red light, the fringe width will

When a thin transparent plate of thickness t and refractive index μ is placed in the path of one of the two interfering waves of light, then the path difference changes by

In Young’s double slit experiment the wavelength of light was changed from 7000 Å to 3500 Å. While doubling the separation between the slits which of the following is not true for this experiment

In Young’s double-slit experiment, an interference pattern is obtained on a screen by a light of wavelength 6000 Å, coming from the coherent sources S 1 and S 2 . At certain point P on the screen third dark fringe is formed. Then the path difference S 1 P – S 2 P in microns is

In a Young’s double slit experiment, the slit separation is 1 mm and the screen is 1 m from the slit. For a monochromatic light of wavelength 500 nm, the distance of 3rd minima from the central maxima is

A double slit experiment is performed with light of wavelength 500 nm. A thin film of thickness 2 μ m and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will

In an interference experiment, third bright fringe is obtained at a point on the screen with a light of 700 nm. What should be the wavelength of the light source in order to obtain 5th bright fringe at the same point

The two slits at a distance of 1 mm are illuminated by the light of wavelength 6 .5 × 10 − 7 m . The interference fringes are observed on a screen placed at a distance of 1m. The distance between third dark fringe and fifth bright fringe will be

Two coherent sources of intensity ratio 1 : 4 produce an interference pattern. The fringe visibility will be

In Young’s double slit experiment, distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 Å. Then angular position of the first dark fringe is

In Young’s double slit experiment the amplitudes of two sources are 3a and a respectively. The ratio of intensities of bright and dark fringes will be

A light of wavelength 5890 Å falls normally on a thin air film. The minimum thickness of the film such that the film appears dark in reflected light

In Fresnel’s biprism ( μ = 1 .5 ) experiment the distance between source and biprism is 0.3 m and that between biprism and screen is 0.7m and angle of prism is 1°. The fringe width with light of wavelength 6000 Å will be

In Young’s double slit experiment, a minimum is obtained when the phase difference of super imposing waves is

In Young double slit experiment, when two light waves form third minimum, they have

In Young’s doubled slit experiment, the separation between the slit and the screen increases. The fringe width

If prism angle α = 1 ∘ , μ = 1 .54 distance between screen and prism ( b ) = 0 .7 m distance between prism and source a = 0 .3 m , λ = 180 π nm then in Fresnal biprism find the value of β (fringe width)

If Fresnel’s biprism experiment as held in water inspite of air, then what will be the effect on fringe width

In which of the following is the interference due to the division of wave front

What is the effect on Fresnel’s biprism experiment when the use of white light is made

In Young’s double slit experiment, the aperture screen distance is 2m. The fringe width is 1 mm. Light of 600 nm is used. If a thin plate of glass ( μ = 1.5) of thickness 0.06 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by

A slit of width a is illuminated by white light. For red light ( λ = 6500 Å), the first minima is obtained at θ = 30 ° . Then the value of a will be

A slit of size 0.15 cm is placed at 2.1 m from a screen. On illuminated it by a light of wavelength 5 × 10 –5 cm. The width of central maxima will be

The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be

A diffraction is obtained by using a beam of red light. What will happen if the red light is replaced by the blue light

The bending of beam of light around corners of obstacles is called

A single slit of width 0.20 mm is illuminated with light of wavelength 500 nm. The observing screen is placed 80 cm from the slit. The width of the central bright fringe will be

What will be the angle of diffraction for the first minimum due to Fraunhoffer diffraction with sources of light of wave length 550 nm and slit of width 0.55 mm

Red light is generally used to observe diffraction pattern from single slit. If blue light is used instead of red light, then diffraction pattern

In the experiment of diffraction at a single slit, if the slit width is decreased, the width of the central maximum

Conditions of diffraction is

In the propagation of electromagnetic waves the angle between the direction of propagation and plane of polarisation is

Polarised glass is used in sun glasses because

A light has amplitude A and angle between analyser and polariser is 60°. Light is reflected by analyser has amplitude

If we observe the single slit Fraunhofer diffraction with wavelength λ and slit width d, the width of the central maxima is 2 θ . On decreasing the slit width for the same

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of incident beam. At the first maximum of the diffraction pattern the phase difference between the rays coming from the edges of the slit is

In a diffraction pattern by a wire, on increasing diameter of wire, fringe width

A light wave is incident normally over a slit of width 24 × 10 − 5 cm . The angular position of second dark fringe from the central maxima is 30°. What is the wavelength of light

The diffraction effect can be observed in

What will be the angular width of central maxima in Fraunhoffer diffraction when light of wavelength 6000 A o is used and slit width is 12 × 10 − 5 cm .

The condition for observing Fraunhofer diffraction from a single slit is that the light wavefront incident on the slit should be

To observe diffraction the size of an obstacle

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on a screen placed on the focal plane. The first minimum will be formed for the angle of diffraction equal to

In the far field diffraction pattern of a single slit under polychromatic illumination, the first minimum with the wavelength λ 1 is found to be coincident with the third maximum at λ 2 . So

A single slit of width a is illuminated by violet light of wavelength 400 nm and the width of the diffraction pattern is measured as y. When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm, the width of the diffraction pattern is

Light of wavelength λ = 5000 Å falls normally on a narrow slit. A screen placed at a distance of 1 m from the slit and perpendicular to the direction of light. The first minima of the diffraction pattern is situated at 5 mm from the centre of central maximum. The width of the slit is

Plane polarized light is passed through a polaroid. On viewing through the polaroid we find that when the polaroid is given one complete rotation about the direction of the light, one of the following is observed

In order to see diffraction the thickness of the film is

Diffraction and interference of light suggest

A polariser is used to

Which of following can not be polarised

Figure represents a glass plate placed vertically on a horizontal table with a beam of unpolarised light falling on its surface at the polarising angle of 57° with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a

Through which character we can distinguish the light waves from sound waves

Out of the following statements which is not correct

A polaroid is placed at 45° to an incoming light of intensity I o . Now the intensity of light passing through polaroid after polarisation would be

Light waves can be polarised as they are

When light is incident on a doubly refracting crystal, two refracted rays-ordinary ray (O-ray) and extra ordinary ray (E-ray) are produced. Then

A calcite crystal is placed over a dot on a piece of paper and rotated, on seeing through the calcite one will be see

Light passes successively through two polarimeters tubes each of length 0.29m. The first tube contains dextro rotatory solution of concentration 60kgm –3 and specific rotation 0.01rad m 2 kg –1 . The second tube contains laevo rotatory solution of concentration 30kg/m 3 and specific rotation 0.02 radm 2 kg –1 . The net rotation produced is

A beam of light AO is incident on a glass slab ( μ = 1 .54 ) in a direction as shown in figure. The reflected ray OB is passed through a Nicol prism, on viewing through the Nicole prism, we find on rotating the prism that

The transverse nature of light is shown by

Radio wave diffract around building although light waves do not. The reason is that radio waves

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 90°. A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

In Young’s double slit experiment, white light is used. The separation between the slits is b. The screen is at a distance d (d>> b) from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are

In Young’s double slit experiment, if the two slits are illuminated with separate sources, no interference pattern is observed because

The periodic time of rotation of a certain star is 22 days and its radius is 7 × 10 8 meters. If the wavelength of light emitted by its surface be 4320 A 0 , the Doppler shift will be (1 day = 86400 sec)

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refraction index n) is

In a single slit diffraction of light of wavelength λ by a slit of width e, the size of the central maximum on a screen at a distance b is

Find the thickness of a plate which will produce a change in optical path equal to half the wavelength λ of the light passing through it normally. The refractive index of the plate is μ

A beam of unpolarized light having flux 10 -3 W falls normally on a polarizer of cross-sectional area 3 × 10 -4 m 2 . The polarizer rotates with an angular frequency of 31.4 rads -1 . The energy of light passing through the polarizer per revolution will be

Two slits separated by a distance of 1 mm are illuminated with red light of wavelength 6.5 × 10 -7 m. The interference fringes are observed on a screen placed at 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe is equal to

In a single slit diffraction experiment first minimum for red light (660 nm) coincides with first maximum of some other wavelength λ ‘. The value of λ ‘ is

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