First slide

Coherent sources

Question

Two monochromatic light waves of amplitude A and 2A interfering at a point, have a phase difference of 60°. The intensity at that point will be proportional to :

Easy

A

3A²
B

5A²
C

7A²
D

9A²

Solution

$I = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} \cos ∆ ϕ \propto {A_{1}}^{2} + {A_{2}}^{2} + 2 A_{1} A_{2} \cos ∆ ϕ \Rightarrow I \propto 7 A^{2}$

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