Let S1 and S2 be the two slits in Young’s double slit experiment . If central maxima is observed at P and angle S1PS2 = θ ,( θ is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima . ( λ = wavelength of monochromatic light used)

θ=dDThird minima, y=±2.5ω =±2.5λDd =±2.5λθ

Let S1 and S2 be the two slits in Young’s double slit experiment . If central maxima is observed at P and angle S1PS2 = θ ,( θ is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima . ( λ = wavelength of monochromatic light used)

θ=dDThird minima, y=±2.5ω =±2.5λDd =±2.5λθ

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Let S₁ and S₂ be the two slits in Young’s double slit experiment . If central maxima is observed at P and angle S₁PS₂ = θ ,( θ is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima . ( λ = wavelength of monochromatic light used)

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$\pm \frac{5 λ}{2 θ}$

$\pm \frac{5}{2} λ θ$

$\pm \frac{2 λ}{θ}$

$\pm 2 λ θ$

answer is B.

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Detailed Solution

$θ = \frac{d}{D}$

In a Young's double-slit experiment, let S_(1) and S_(2) be the two slits, and C be the centre of the screen. If /_S_(1)CS_(2)=theta and lambda is wavelength, the fringe width will be

Third minima,

$y = \pm 2.5 ω = \pm 2.5 (\frac{λ D}{d}) = \pm \frac{2.5 λ}{θ}$

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Let S1 and S2 be the two slits in Young’s double slit experiment . If central maxima is observed at P and angle S1PS2 = θ ,( θ is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima . ( λ = wavelength of monochromatic light used)

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Let S₁ and S₂ be the two slits in Young’s double slit experiment . If central maxima is observed at P and angle S₁PS₂ = θ ,( θ is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima . ( λ = wavelength of monochromatic light used)