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Question

A source of frequency 10 kHz when vibrated over the mouth of a closed organ pipe is in resonance at 300 K. The beats produced per second when temperature rises by 1 K is

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Solution

Initially frequency of vibration of closed organ pipe = 10 kHz

fv4l=γRTM4l

or fT

ff=TT=(1+1600) (using binomial expansion)

or Δf=ff=f600

=10×103600=16.67 Hz

Number of beats produced = 16.67 Hz

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