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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 vibrated of 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 n th harmonic , emitted due to vibra-tion of a stretched string is ` v = (n)/(2L) sqrt((T)/(m))` where ` m = (M)/(L)`
` = (n)/(2L) sqrt((TL)/(M)) = (n)/(2) sqrt((T)/(ML))`
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