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JEE Main 2023 (10 Apr, Shift 2) · Superposition, Coherence & Intensity

Superposition, Coherence & Intensity question from JEE Main 2023 (10 Apr, Shift 2)

Q64JEE Main 2023 · 10 APR · SHIFT 2Medium

Superposition, Coherence & Intensity

The ratio of intensities at two points $P$ and $Q$ on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are $\pi/3$ and $\pi/2$ , respectively are

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Answer: (d)

Same amplitudes: $I = I_{max}\cos^2\dfrac{\phi}{2}$ .
$I_P = I_{max}\cos^2 30^\circ = \dfrac{3}{4}I_{max}$ , $I_Q = I_{max}\cos^2 45^\circ = \dfrac{1}{2}I_{max}$ .
$I_P : I_Q = 3 : 2$ . So the answer is (d) $3 : 2$ .

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