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A transverse wave of amplitude 0.50 mm a...

A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produced on a wire stretched to a tension of 100 N. If the wave speed is `100 m s^-1`, what average power is the source transmitting to the wire ?

Text Solution

Verified by Experts

The correct Answer is:
D
`r=0.5mm`
`=0.5xx10^-3m`
`=f=100Hz`
`T=100N,v=100m/s`
`v=sqrt((T/m))`
`- v^2=(T/m)`
`m=T/v^2=100/((100)^2)`
`=0.01=0.01kg/m`
`P_(ave)=2pir^2mvr^2f^2`
`=2(3.14)^2(0.01)xx100`
`xx(0.5xx10^-3)62xx(100)`
`=2xx9.86xx0.25xx10^-6xx10^4`
`=19.7xx0.0025=0.049 watt`
`=49x10^-3wat=49mW`
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