An organ pipe, open from both ends produces $$5$$ beats per second when vibrated with a source of frequency $$200$$ Hz. The second harmonic of the same pipes produces $$10$$ beats per second with a source of frequency $$420$$ Hz. The frequency of source is

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Infinity Learn · Accepted Answer

Initially number of beats per second $$=$$ $$5$$∴ Frequency of pipe $$=$$ $$200$$ ± $$5$$ $$=$$ $$195$$ Hz or $$205$$ Hz  ...(i) Frequency of second harmonics of the pipe $$=$$ $$2n$$ and number of beats in this case $$=$$ $$10$$∴ $$2n$$ $$=$$ $$420$$ ± $$10$$ ⇒ $$410$$ Hz or $$430$$ Hz ⇒ n $$=$$ $$205$$ Hz or $$215$$ Hz                         ... (ii) From equation (i) and (ii) it is clear that n $$=$$ $$205$$ Hz

An organ pipe, open from both ends produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz. The frequency of source is

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