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

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

Infinity Learn · Accepted Answer

Let υ be frequency of the unknown source. As it gives $$4$$ beats per second when sounded with a source of frequency $$250$$ Hz,   ∴   υ$$=250$$±$$4=246Hz$$  or  $$254$$ Hz         Second harmonic of this unknown source $$=$$ $$492$$ Hz or $$508$$ Hz  which gives $$5$$ beats per second, when sounded with a source of frequency $$513$$ Hz.Therefore unknown frequency, υ $$=$$ $$254$$ Hz.

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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