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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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