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JEE Main 2022 (30 Jun, Shift 1) · Superposition, Coherence & Intensity

Superposition, Coherence & Intensity question from JEE Main 2022 (30 Jun, Shift 1)

Q68JEE Main 2022 · 30 JUN · SHIFT 1Medium

Superposition, Coherence & Intensity

Find the ratio of maximum intensity to the minimum intensity in the interference pattern if the widths of the two slits in Young's experiment are in the ratio of 9: 16. (Assuming intensity of light is directly proportional to the width of slits)

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Answer: (d)

Intensity $\propto$ width: $I_1 : I_2 = 9 : 16$ , amplitudes $3 : 4$ .
$\frac{I_{max}}{I_{min}} = \left(\frac{4+3}{4-3}\right)^2 = 49$
So the answer is (d) $49 : 1$ .

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