Question

Sinusoidal waves `5.00 cm ` in amplitude are to be transmitted along a string having a linear mass density equal to `4.00xx10^-2kg//m`. If the source can deliver a maximum power of `90W` and the string is under a tension of `100N`, then the highest frequency at which the source can operate is (take `pi^2=10`)
A. `45.3Hz`
B. `50Hz`
C. `30Hz`
D. `62.3Hz`

Answer 1

Correct Answer - C
`P=(1)/(2)muomega^2A^2v`
using `v=sqrt((T)/(mu))`
`impliesomega=sqrt((2P)/(A^2sqrt(Tmu)))`
`f=(omega)/(2pi)=(1)/(2pi)sqrt((2P)/(A^2sqrt(Tmu)))`
Using data `f=30Hz`