1.

Two identical sonometer wires have a fundamental frequency of `500 Hz` when kept under the same tension . The percentage change in tension of one of the wires that would cause an occurrence of `5 beats//s` , when both wires vibrate together isA. `0.5 %`B. `1 %`C. `2 %`D. `4 %`

Answer» Correct Answer - C
`f = (1)/( 2l) sqrt((T)/(m))`
`(Delta f)/( f) = (1)/(2) (Delta T)/(T)`
`(Delta T)/(T) = 2 (( Delta f))`
`( Delta T)/(T) xx 100 = ` percentage change in tension
`( Delta T)/( T) = (1)/( 50)`
`(Delta T)/( T) = (1)/(50)`
`(Delta T)/(T) xx 100 = 2 %`


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