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A 1.50 m long rope is stretched between ...

A 1.50 m long rope is stretched between two supports with a tension that makes the speed of transverse waves 48.0`m//s`. What are the wavelength and frequency of
(a) the fundamental?
(b) the second overtone?
(c) the fourth harmonic?

Text Solution

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The correct Answer is:
A, B, C, D
(a)`f_1 = v/(2l) = 48/3`
`= 16 Hz`
`lambda_1 = v/f_1 = 3m`
(b) Second overtone means `f_3`.
`f_3 = 3f_1` and hence `lambda_3= lambda_1/3`
( c) Forth harmonic means `f_4`
`f_4 = 4f_1` and `lambda_4 = lambda_1/4`.
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