Q.

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 :

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a

λ d D

b

λD2d

c

2λDd

d

2λdD

answer is D.

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Detailed Solution

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For 2nd Secondary minima  dθ=2λ

                                                          dSD  =  2λS=2λDd

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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 :