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The frequency of the funing fork B is 51...

The frequency of the funing fork B is 512Hz. It is sounded with another tuning fork. A and 4 beats per sec are heard. A is filled and it is found that beats occur at shorter intervals. Find the frequency of A?

Text Solution

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As tuning fork A produces 4 beats with B of frequency `(f_(B)=256Hz)` the frequency of A, `f_(A)` will be `f_(A)=f_(B)+-4=256+-4`.
i.e, `f_(A)=252Hz or 260Hz`
Now on filing due to decrease in inertia frequency of A will increase and occurrence of beats at shorter duration means increase in beat frequency:
so if `f_(A) lt f_(B).256-f_(A)=4` Hz and so with increases in `f_(A)` beat freqency will decreases. If `f_(A) gt f_(B) , f_(A)-256=4Hz and` so with increase in `f_(A)` beat frequency will decrease.
`:.` The frequency of A before filing was 260 Hz.
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