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Question

A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz. On filling one of the prongs of A, 4 beats/s are again heard when sounded with the same fork B. Then, the frequency of the fork A before filing is :

A
328 Hz
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B
316 Hz
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C
324 Hz
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D
320 Hz
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Solution

The correct option is B 316 Hz
To have 4 beats per second, fA can be either 316 Hz or 324 Hz.
Since filing increases the frequency, beat frequency, f=fBfA=4 beats per second
fA= frequency of fork A before filing
fA=3204=316 Hz

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