First slide

Coherent sources and their importance in interference

Question

Two coherent sources of intensity ratio 1 : 4 produce an interference pattern. The fringe visibility will be

Easy

A

1
B

0.8
C

0.4
D

0.6

Solution

$\frac{I_{1}}{I_{2}} = \frac{1}{4} \Rightarrow I_{1} = k and I_{2} = 4 k ∴ Fringe visibility V = \frac{2 \sqrt{I_{1} I_{2}}}{(I_{1} + I_{2})} = \frac{2 \sqrt{k \times 4 k}}{(k + 4 k)} = 0 .8$

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