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 Hz`
B. `50 Hz`
C. `30 Hz`
D. `62 Hz`

Answer

C

Explanation

As `ltPgt = 2pi^(2)f^(2)A^(2)muv` put values
`90 = 2 xx 10 xx f^(2) xx 25 xx 10^(-4) xx 4 xx 10^(-2)sqrt((100)/(4 xx 10^(-2))) rArr = f = 30 Hz`