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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Waves and Sound

NEET 2013 · Physics · Waves and Sound

Two source P and Q produce notes of frequency 660 ~Hz each. A...

Two source P\mathrm{P} and Q\mathrm{Q} produce notes of frequency 660 Hz660 \mathrm{~Hz} each. A listener moves from P\mathrm{P} to Q\mathrm{Q} with a speed of 1 ms−11 \mathrm{~ms}^{-1}. If the speed of sound is 330 m/s330 \mathrm{~m} / \mathrm{s}, then the number of beats heard by the listener per second will be:Two source P and Q produce notes of frequency 660 ~Hz each. A listener moves from P to Q with a speed of 1 ~ms^ -1 . IfTwo source P and Q produce notes of frequency 660 ~Hz each. A listener moves from P to Q with a speed of 1 ~ms^ -1 . If

Options

  1. A4
  2. B8
  3. C2
  4. Dzero

Correct answer

A. 4

Step-by-step solution

\text{ Accordingto the question }<img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fpyq%252Fneet%252FPta9DMV6RYmZtCumA88GYIvIEaXYZsRsGFGsA9ZpV60.original.fullsize.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fneet%2FPta9DMV6RYmZtCumA88GYIvIEaXYZsRsGFGsA9ZpV60.original.fullsize.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fneet%2FPta9DMV6RYmZtCumA88GYIvIEaXYZsRsGFGsA9ZpV60.original.fullsize.png?alt=media"> \\ Speed of listenerV_L=1 \mathrm{~ms}^{-1}SpeedofsoundSpeed of soundV=330 \mathrm{~ms}^{-1}FrequencyofeachsourceFrequency of each sourcev=600 \mathrm{~Hz}\thereforeApparentfrequencyduetoApparent frequency due to\mathrm{P}=\mathrm{V}^{\prime}=\frac{v\left(\mathrm{~V}-\mathrm{V}_{\mathrm{L}}\right)}{\mathrm{V}} Apparent frequency due to Q=V′′=v( V−VL)V∴\mathrm{Q}=\mathrm{V}^{\prime \prime}=\frac{v\left(\mathrm{~V}-\mathrm{V}_{\mathrm{L}}\right)}{\mathrm{V}}\therefore No. of heat heard by the listener per second.V′′−V′=v( V−VL)V−v( V0−VL)V=2vLv=2×660×1330=4\begin{aligned}& \mathrm{V}^{\prime \prime}-\mathrm{V}^{\prime}=\frac{v\left(\mathrm{~V}-\mathrm{V}_{\mathrm{L}}\right)}{\mathrm{V}}-\frac{v\left(\mathrm{~V}_0-\mathrm{V}_{\mathrm{L}}\right)}{\mathrm{V}}\\ & =\frac{2 v_{\mathrm{L}}}{v}=\frac{2 \times 660 \times 1}{330}=4 \end{aligned}
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