1.

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..........

Answer»

`V = n/2 sqrt(T/(ML))`
`v= n/(2L) sqrt(T/M)`
`v = 1/(2n) sqrt(T/(ML))`
`v = n/2 sqrt((TL)/M)`

Solution :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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