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Standard XII

Physics

Beat Frequency

A tuning fork...

Question

A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz. On filling one of the prongs of A, 4 beats/s are again heard when sounded with the same fork B. Then, the frequency of the fork A before filing is :

328 Hz

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316 Hz

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324 Hz

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320 Hz

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Solution

The correct option is B 316 Hz
To have 4 beats per second, $f_{A}$ can be either 316 Hz or 324 Hz.
Since filing increases the frequency, beat frequency, $f = f_{B} - f_{A} = 4$ beats per second
$f_{A} =$ frequency of fork A before filing
$f_{A} = 320 - 4 = 316 H z$

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A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz. On filling one of the prongs of A, 4 beats/s are again heard when sounded with the same fork B. Then, the frequency of the fork A before filing is :

The correct option is B 316 HzTo have 4 beats per second, fA can be either 316 Hz or 324 Hz.Since filing increases the frequency, beat frequency, f=fB−fA=4 beats per secondfA= frequency of fork A before filingfA=320−4=316 Hz

The correct option is B 316 Hz
To have 4 beats per second, $f_{A}$ can be either 316 Hz or 324 Hz.
Since filing increases the frequency, beat frequency, $f = f_{B} - f_{A} = 4$ beats per second
$f_{A} =$ frequency of fork A before filing
$f_{A} = 320 - 4 = 316 H z$