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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 wave in the wave at `10^@C.` Given : Coefficient of linear expansion is `1.7 xx 10^(-5)l^@C` Young's modulus `=1.3 xx 10^(11)"N/m"^2` Density `=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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