A point source is emitting sound waves of… - JEE Main 2024 Physics PYQ

JEE Main 2024 — Physics Waves & Oscillations

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A point source is emitting sound waves of intensity $16\times {10}^{-8}W{m}^{-2}$ at the origin. The difference in intensity (magnitude only) at two points located at a distances of $2m$ and $4m$ from the origin respectively will be ________ $\times {10}^{-8}W{m}^{-2}$ .

Official previous-year question

Held on 30 Jan 2024 · Verified 6 Jul 2026.

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Solution

Intensity for a point source varies as $I\propto \frac{1}{{r}^{2}}$ .

Intensity at a distance of $2m$ , ${I}_{2}=16\times {10}^{-8}\times \frac{1}{{2}^{2}}=4\times {10}^{-8}W{m}^{-2}$

Similarly, intensity at a distance of $4m$ , ${I}_{4}=16\times {10}^{-8}\times \frac{1}{{4}^{2}}=1\times {10}^{-8}W{m}^{-2}$

Required difference, ${I}_{2}-{I}_{4}=3\times {10}^{-8}W{m}^{-2}$

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