An organ pipe, open from both end 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

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Quantrex Academy · Accepted Answer

Correct answer: B. 205 Hz

Let the fundamental frequency of organ pipe be

\mathrm{f}

Case I :

f=200 \pm 5=205 \mathrm{ Hz}

or

195 \mathrm{ Hz}

An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz . The

Case II : frequency of 2 nd harmonic of organ pipe

=2 \mathrm{f}

(as is clear from the second figure)

2 \mathrm{f}=420 \pm 10

or

\mathrm{f}=210 \pm 5

or

\mathrm{f}=205

or 215 Hence fundamental frequency oforgan pipe

=205 \mathrm{ Hz}

An organ pipe, open from both end produces 5 beats per second when...

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