A tuning fork whose frequency as given by manufacturer is $$512$$ Hz is being tested with an accurate oscillator. It is found that the fork produces a beat of $$2$$ Hz when oscillator reads $$514$$ Hz but produces a beat of $$6$$ Hz when oscillator reads $$510$$ Hz. The actual frequency of fork is

Question

Infinity Learn · Accepted Answer

The tuning fork whose frequency is being tested produces $$2$$ beats with oscillator at $$514$$ Hz, therefore, frequency of tuning fork may either be $$512$$ or $$516$$. With oscillator frequency $$510$$ it gives $$6$$ $$beats/$$$$sec$$, therefore frequency of tuning fork may be either $$516$$ or $$504$$.Therefore, the actual frequency is $$516$$ Hz which gives $$2$$ $$beats/$$$$sec$$ with $$514$$ Hz and $$6$$ $$beats/$$$$sec$$ with $$510$$ Hz.

A tuning fork whose frequency as given by manufacturer is 512 Hz is being tested with an accurate oscillator. It is found that the fork produces a beat of 2 Hz when oscillator reads 514 Hz but produces a beat of 6 Hz when oscillator reads 510 Hz. The actual frequency of fork is

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