Consider the sunlight incident on a slit of width 10⁴ $\overset{0}{A}$ . The image seen through the slit shall [NCERT Exemplar)

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be a fine sharp slit white in colour at the centre

a bright slit white at the centre diffusing to zero intensities at the edges

a bright slit white at the centre diffusing to regions of different colours

only be a diffused slit white in colour

answer is A.

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Detailed Solution

Given, width of the slit = 10⁴ $\overset{0}{A}$

= 10⁴X 10^-10 m

= 10^-6 m = 1 $μ$ m

Wavelength of (visible) sunlight varies from 4000 $\overset{0}{A}$ to 7000 $\overset{0}{A}$ As the width of slit is comparable to that of wavelength, hence diffraction occurs with maxima at centre. So, at the
centre all colours appear, i.e. mixing of colours form white colour at the centre.

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