1.

A string of length l' fixed at both ends vibrates in resonance with a tuning fork of frequency 'f' at two successive values of tension T_(1) and T_(2) inthe string. Findthe specificmass (mass per unit length) ofthe string:

Answer»

`(T_(1)T_(1))/(F^(2)l^(2)(sqrt(T_(1)) - sqrt(T_(2)))^(2))`
`(2T_(1)T_(1))/(f^(2)l^(2)(sqrt(T_(1)) - sqrt(T_(2)))^(2))`
`(T_(1)T_(1))/(2f^(2)l^(2)(sqrt(T_(1)) - sqrt(T_(2)))^(2))`
NONE of these

Solution :We use
`f = (n+1)/(2l) sqrt((T_(2))/(mu))`
`f = (n+1)/(2l) sqrt((T_(2))/(mu))`
fromequation (1) and (2) eliminate 'n' to get `mu`.
`mu = (T_(1)T_(2))/(4f^(2)l^(2)(sqrt(T_(1)) - sqrt(T_(2)))^(2))`


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