Question

A source of unknown frequency gives 4beats/s when frequency 250Hz . The second harmonic of the source of unknown frequency gives 5 beats/s when sounded with a source of frequency 513Hz .The Unknown frequency is .
(a) 254Hz
(b) 246Hz
(c) 240Hz
(d) 260Hz

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Answer 1

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246 Hz

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Answer 2

Explanation:

When sounded with a source of known frequency,

Fundamental frequency = 250+4Hz = 254Hz or 246Hz

Second harmonic of unknown frequency {suppose} = 254Hz = 2×254 = 508Hz

As it gives 5 beats,

Therefore, 508+5 = 513Hz

Hence, unknown frequency is 254Hz

So, Option A is correct.

Hope you understand

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