A tuning fork A produces 4 beats s-1 with another tuning fork B of frequency 320 Hz. On filing one of the
prongs of A 4 beats s_1 are again heard when sounded with the same fork B. Then, the frequency of the fork A before filing is?
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The frequency of tuning fork A is 324 Hz.
Explanation :
Both the tuning fork produce 4 beats/sec
=> Fa ± Fb = 4
=> Fa ± 320 = 4
=> Fa = 316 or 324
But we know that on filing a tuning fork, its frequency decreases.
So if initially it would have been 316 Hz than after filing it will reduce further and can never be able to produce 4 beats/sec
But if it was initially as 324 Hz then after filing it will become 316 Hz so as to produce again 4 beats/sec with B
Hence the frequency of tuning fork A is 324 Hz.
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