First slide

Coherent sources and their importance in interference

Question

In Young’s double slit experiment, the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width is :

Moderate

A

Unchanged
B

halved
C

doubled
D

quadrupled

Solution

Fringe width $β = \frac{λ D}{d}$
$G i v e n : D i s d o u b l e d a n d d i s h a l v e d$
$β' = \frac{λ D'}{d'} = \frac{λ 2 D}{\frac{d}{2}} = 4 β$
Thus, the fringe width is quadrupled.

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