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Question

A tuning fork produces 4 beats per second with another tuning fork of frequency 256 Hz. The first one is now loaded with a little wax and the beat frequency is found to increase to 6 per second. What was the original frequency of the tuning fork?

A
252 Hz
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B
260 Hz
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C
262 Hz
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D
250 Hz
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Solution

The correct option is A 252 Hz

A tuning fork produces 4 beats with a known tuning fork whose frequency = 256 Hz

So the frequency of unknown tuning fork = either 256 - 4 = 252 or 256 + 4 = 260 Hz

Now as the first one is loaded with wax its mass/unit length increases. So velocity will decrease.

So, its frequency decreases. As frequency decreases the beat frequency increases ( becomes 6 from 4)

So original frequency must be 252 Hz.

260 Hz is not possible as on decreasing the frequency the beats should decrease which is not happening here.


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