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A source of sound of frequency 256 Hz is moving rapidly towards wall with a velocity of 5m/sec. How many beats per second will be heard if sound travels at a speed of 330 m/sec?

A source of sound of frequency 256 Hz is moving rapidly towards wall with a velocity of 5m/sec. How many beats per second will be heard if sound travels at a speed of 330 m/sec?

Grade:11

2 Answers

Aditi Chauhan
askIITians Faculty 396 Points
7 years ago
Hello Student,
Please find the answer to your question
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NOTE : If the sound reaches the observer after being reflected from a stationary surface and the medium is also stationary, the image of the source in the reflecting surface will become the source of the reflected sound.
v = v [c – v0/c – vs]
v0, vs are +ve if they are directed from source to the observer and – ve if they directed from observer to source.
v = 256 [330 – (- 5)/330 – 5] = 264 Hz
∴ Beat frequency = 264 – 256 = 8
Thanks
Aditi Chauhan
askIITians Faculty
Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

If the sound reaches the observer after being reflected from a stationary surface and the medium is also stationary,
the image of the source in the reflecting surface will become the source of the reflected sound.
v=v[c–v−o/c–vs​]
vo​, vs​ are +ve if they are directed from source to the observer and –ve if they directed from observer to source.
v=256[330–(−5)/330–5]=264Hz
∴ Beat frequency =264–256=8

Thanks and Regards

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