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Damped Oscillations

A source of u...

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 $\pm$ 4 = 254 OR 246
v'' = 2. v' and v'' = 513 $\pm$ 5 = 518 OR 508
So, 508 = 2(254)
Or v'' = 2(v')
Answer is (254 Hz).

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