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Question

A source of unknown frequency gives 4 beats/s, when sounded with a source of known frequency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is -

A
254 Hz
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B
246 Hz
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C
240 Hz
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D
260 Hz
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Solution

The correct option is A 254 Hz
v' = 250 ± 4 = 254 OR 246
v'' = 2. v' and v'' = 513 ± 5 = 518 OR 508
So, 508 = 2(254)
Or v'' = 2(v')
Answer is (254 Hz).

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