Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be ......

Two identical piano wires kept under the same tension T have a fundame

1.	Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be ......
Answer» `0.02` `0.03` `0.04` `0.01` Solution :We have `f = (1)/(2L) sqrt ((T)/( mu )) implies f prop sqrtT implies f = K sqrtT` (Where K = constant of proporationaly) `therefore ( DF )/( dT) =K (1)/( 2 sqrtT) = (f)/( sqrtT) xx (1)/( 2 sqrtT) = (f)/( 2T)` `therefore (dT)/(T) =2 ((df)/(f)) =2 xx (6)/( 600) =0.02` `implies ` Fractional increases in tension `=0.02`