First slide

Diffraction

Question

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

Moderate

A

become broader and fainter
B

become broader and brighter
C

become narrower and fainter
D

become narrower and brighter

Solution

$β_{0} = \frac{2 λD}{d} = \frac{2 λf}{d} or β_{0} \propto \frac{1}{d} As d increases, β_{0} decreases. A b r o a d e r s l i t a l l o w s m o r e l i g h t t o p a s s t h r o w i t; a s a r e s u l t b r i g h t n e s s o f c e n t r a l b r i g h t f r i n g e i n c r e a s e s$

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