In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of 0.0075 m 3. The fundamental frequency of the wire is 260 Hz . If the suspended mass is completely submerged in water, the fundamental frequency will become (take `g = 10 ms^(-2)`) [

Answer

240Hz

Explanation

`n=(1)/(2l)sqrt((T)/(mu))impliesn=(1)/(2l)sqrt((mg)/(mu))" ".....(1)`
`n'=(1)/(2pi)sqrt(((mg-Vrhog))/mu)" "......(2)`
`(n')/(n) = sqrt((mg-Vrhog)/(mg))implies(n')/(260)=sqrt((50.7xx10-0.0075xx1000xx10)/(50.7xx10))`
`(n')/(260)=sqrt((507-75)/(507)) implies n=240Hz`