First slide

Coherent sources and their importance in interference

Question

In an experiment to demonstrate interference of light using Young’s double slits, separation of two slits is doubled. In order to maintain same spacing of fringes, distance D of screen from slits must be changed to kD. What is the value of k?

Moderate

A

1
B

2
C

4
D

3

Solution

$F r i n g e w i d t h, β = \frac{λ D}{d} T o k e e p β s a m e, D \propto d I f d i s d o u b l e d, t h e n D i s a l s o d o u b l e d . H e n c e, D' = 2 D ∴ k = 2$

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