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NEET 2013 · Beats

Beats question from NEET 2013

Q63NEET 2013Medium

Beats

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

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Answer: (c)

$n = 250 \pm 4 = 254$ or $246\text{ Hz}$ .
Second harmonic $2n = 508$ or $492\text{ Hz}$ .
With 513 Hz: $513 - 508 = 5$ beats (492 gives 21).
So the answer is (c) 254 Hz.

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