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A copper wire is held at the two ends by...

A copper wire is held at the two ends by rigid supports. At `30^(@)C`, the wire is just taut, with negligible tension. Find the speed of transverse waves in this wire at `10^(@)C`.
Given : Young modulus of copper `= 1.3 xx 10^(11) N//m^(2)`.
Coefficient of linear expansion of copper ` = 1.7 xx 10^(-5) .^(@)C^(-1)`. Density of copper `= 9 xx 10^(3) kg //m^(3)`.

A

210 m/s

B

110 m/s

C

90 m/s

D

70 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaL=(TL)/(AY)rArr T=(DeltaLAY)/(L)=(LalphathetaAY)/(L)=alpha thetaAy`
`mu =dA :. v=sqrt((T)/(mu))=sqrt((alpha theta AY)/(dA))=70 m//s`
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