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Sinusoidal waves 5.00 cm in amplitude a...

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`

Text Solution

Verified by Experts

The correct Answer is:
C
Sinusodial waves …………..
`(C )P = (1)/(2) mu omega^(2) A^(2)V` using `V = sqrt((T)/(mu))`
`P = (1)/(2)omega^(2)A^(2) sqrt(T mu)`
`omega = sqrt((2P)/(A^(2)sqrt(T mu))) f = (omega)/(2pi) = (1)/(2pi) sqrt((2P)/(A^(2)sqrt(T mu)))`
using data `f = 30 Hz`.
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