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A tuning fork gives 5 beats /sec with an...

A tuning fork gives 5 beats /sec with another fork of 500Hz . When first fork is loaded , then no. of beats /sec remain unchanged. Then frequency of the first fork will be

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`n_1 = n_2 +- 5 = 500 +-5 =` 505Hz or 495Hz
when `n_1` is loaded its frequency decreases and given that beat frequency remains unchanged. This is possible only when `n_1` = 505Hz.
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Experiment shows that the frequency of a tuning fork depends upon the length l of the prong, the density P and the young's modulus of its material From dimensional considerations, find a possible relation for frequency of tuning fork.

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