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Length of an organ pipe open at both ends is 34 cm. If velocity of sound is 340 m is, then the frequency of 2nd overtone is ______. -

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Question

Length of an organ pipe open at both ends is 34 cm. If velocity of sound is 340 m is, then the frequency of 2nd overtone is ______.

Options

  • 1000 Hz

  • 2000 Hz

  • 2400 Hz

  • 1500 Hz

MCQ

Solution

Length of an organ pipe open at both ends is 34 cm. If velocity of sound is 340 m is, then the frequency of 2nd overtone is 1500 Hz.

Explanation:

l = 34 cm   v = 340 m/s

`"n"_0 = "v"/(2l)     3"n"_0 = (3"V")/(2l)`

2nd overtone = 3rd harmonic

∵ 1st harmonic `"n"_0 = "v"/(2l)`

`3"n"_0 = (3"V")/(2l) = (3 xx 340 xx 100)/(2 xx 34) = 1.5 xx 1000 = 1500`

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Harmonics and Overtones
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