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A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle q that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)

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a

sin−1nλd

b

tan−1nλd

c

sin−1nλ2d

d

cos−1nλ2d

answer is C.

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Detailed Solution

Path difference =2dsinθ∴ For constructive interference 2dsinθ=nλ⇒θ=sin−1nλ2 d

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A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle q that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)