Q109 / 150 · MHT CET 2017 · Physics

Two identical light waves having phase difference $ϕ$ propagate in the same direction. When they superpose, the intensity of the resultant wave is proportional to

A
$\cos^{2} ϕ$
Correct answer
B
$\cos^{2} \frac{ϕ}{2}$
C
$\cos^{2} \frac{ϕ}{3}$
D
$\cos^{2} \frac{ϕ}{4}$

Solution

For two identical light waves

I_{R} = 4 I \cos^{2} \frac{ϕ}{2}

∴ I_{R} \propto \cos^{2} \frac{ϕ}{2}

Hence, the correct answer is option: 'B'.

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