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A uniform string of length L and mass M ...

A uniform string of length L and mass M is fixed at both ends while it is subject to a tension T. It can vibrate at frequencies (v) given by the formula where n= 1,2,3..........

A

`v = n/2 sqrt(T/(ML))`

B

`v= n/(2L) sqrt(T/M)`

C

`v = 1/(2n) sqrt(T/(ML))`

D

`v = n/2 sqrt((TL)/M)`

Text Solution

Verified by Experts

The correct Answer is:
A
The frequency of a uniform string.
`v=n/(2L)sqrt(T/mu)`, where `mu = M/L`
`therefore v = n/(2L) sqrt((TL)/(M)) = n/2 sqrt(T/(ML))`
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