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The prong of an electrically operated tu...

The prong of an electrically operated tuning fork is connected to a long string of `mu=1 kg//m` and tension 25 N, the maximum velocity of the prong is `1 cm//s`, then the average power needed to drive the prong is

A

`5xx10^(-4) W`

B

`2.5xx10^(-4)W`

C

`1xx10^(-4)W`

D

`10^(-3)W`

Text Solution

Verified by Experts

The correct Answer is:
b
Wave velocity: `v=sqrt((F)/(mu))=sqrt((25)/(1))=5 m//s`
Average power: `p_(av)=(1)/(2)muv(omegaA)^(2)`
`=(1)/(2)muv(v_(p-max))^(2)=(1)/(2)xx1xx5(1xx10^(-2))^(2)`
`=2.5xx10^(-4) W`
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