State whether the following statements are true or false.

The refractive index is inversely proportional to the wavelength.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: The refractive index, sometimes referred to as the index of refraction, is used to determine how much a light beam bends as it travels through one material and then another, as we are all aware. If r is the angle of refraction and ii is the angle of incidence of a ray in vacuum (the angle between the incoming ray and the natural, which is perpendicular to the surface of a medium) (angle between the ray in the medium and the normal) , The ratio of the sine of the angle of incidence to the sine of the angle of refraction, or the refractive index n, is what determines how light travels through objects.

n = \sin (i) / \sin (r)

The velocity of light cc of a certain wavelength in empty space divided by the velocity of light vv in a substance may also be used to express the refractive index.

n = c / v

The distance between successive crests of a wave, particularly the points of an electromagnetic wave, is now known as its wavelength. Frequency and wavelength are indissociably connected. The frequency increases as the wavelength gets smaller. Since all light waves move in a vacuum at the same speed, the wavelength determines how many wave crests pass at a specific spot each second.
Question Image

The sign stands for the Wavelength. The Wavelength Formula for every wave is provided by

λ = v / f

The wavelength, velocity, and frequency are all measured in units of metres, metres per second, and hertz.
If we now examine both formulae, namely the formula for a material's refractive index and the formula for wavelength, we may write