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Beat Frequency

An accurate a...

Question

An accurate and reliable audio oscillator is used to standardise a tuning fork. When the oscillator reading is 514 Hz, two beats are hear per second. When the oscillator reading is 510 Hz, the beat frequency is 6 Hz. The frequency of the tuning fork is :

A

506

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B

510

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C

516

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D

158

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Solution

The correct option is B 516
Beat $= δ_{1} - δ_{2}$
As frequency in oscillator decreases beats decreases so, frequency in
oscillator is less than frequency of fork.
So, beat = frequency of fork $-$ frequency in oscillator

$2 = f_{f} - 214$
$\Rightarrow$ frequency of fork $= 516 H z$

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