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Q.

A parallel beam of monochromatic light is incident normally on a slit. The diffraction pattern is observed on a screen placed at focal plane of convex lens. If the slit width is increased, the central maximum of the diffraction pattern will

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a

become broader and fainter

b

become broader and brighter

c

become narrower and fainter

d

become narrower and brighter

answer is D.

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Detailed Solution

β0=2λDd=2λfd or β0∝1d  As d increases, β0 decreases.  A broader slit allows more light to pass throw it ; as a result brightness of central bright fringe increases
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A parallel beam of monochromatic light is incident normally on a slit. The diffraction pattern is observed on a screen placed at focal plane of convex lens. If the slit width is increased, the central maximum of the diffraction pattern will