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MHT CET 2024 (11 May, Shift 1) · Superposition, Coherence & Intensity

Superposition, Coherence & Intensity question from MHT CET 2024 (11 May, Shift 1)

Q40MHT CET 2024 · 11 MAY · SHIFT 1Easy

Superposition, Coherence & Intensity

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

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Answer: (c)

$I = I_1 + I_2 + 2\sqrt{I_1 I_2}\cos\phi$ ; for identical waves $I_1 = I_2 = I_0$ .
$I = 2I_0(1+\cos\phi) = 4I_0\cos^2\frac{\phi}{2}$
So the answer is (c) $\cos^2\left(\frac{\phi}{2}\right)$ .

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