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Question

# Consider sunlight incident on a slit of width 103 ˙A. The image seen through the slit shall (The wavelength of sunlight (visible light) varies from 4000 ˙A to 7000 ˙A).

A
be a fine sharp slit white in colour at the centre.
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B
a bright slit white in colour at the centre diffusing to zero intensities at the edges.
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C
a bright slit, white in colour at the centre diffusing to regions of different colours.
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D
only be a diffused slit white in colour.
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Solution

## The correct option is A be a fine sharp slit white in colour at the centre.Here, the width, b of the slit is 103 ˙A, whereas the wavelength of sunlight (visible light) varies from 4000 ˙A to 7000 ˙A. b<λ Condition for first minimum is given by, sinθ=λb As a<λ⇒sinθ>1,which is not possible, Therefore, no diffraction occurs. Hence, the image seen through the slit shall be a fine, sharp slit white at the centre. Hence, the correct option is (A).

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