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A tuning fork having n = 158 Hz, produce...

A tuning fork having n = 158 Hz, produce 3 beats/s with another. As we file the arm of unknown, beats become 7 then calculate the frequency of unknown.

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The frequency of unknown tuning fork should be `158 pm 3 = 155 Hz or 161 Hz`
After filling the number of beats = 7 so frequency of unknown tuning fork should be
`158 pm 7 = 165 Hz or 151 Hz`
As both above frequency can be obtain by filling so frequency of unknown `= 151//161 Hz`
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ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
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