Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to `4.00xx10^-2 kg//m`.If the source can deliver a average power of 90 W and the string is under a tension of 100 N, then the highest frequency at which the source can operate is (take `pi^2=10`):

Options

A. 45.3 Hz
B. 50 Hz
C. 30 Hz
D. 62.3 Hz

Explanation

(C )`P=1/2muomega^2A^2V`
using `V=sqrt(T/mu)`
`P=1/2omega^2A^2sqrt(Tmu)`
`omega=sqrt((2P)/(A^2sqrt(Tu))) f=omega/(2pi)=1/(2pi)sqrt((2P)/(A^2sqrt(Tu)))`
using data f=30 Hz.