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A metal string is fixed between rigid su...

A metal string is fixed between rigid supports. It is initially at negligible tensin. Its Young modulus is `Y`, density `rho` and coefficient of thermal expansion is `alpha`. If it is now cooled through a temperature `=t`, transverse waves will move along it with speed

A

`sqrt((Yalphat)/(rho))`

B

`Ysqrt((alphat)/(rho))`

C

`alphasqrt((Yt)/(rho))`

D

`tsqrt((rho)/(Yalpha))`

Text Solution

Verified by Experts

The correct Answer is:
A
`v=sqrt((T)/(mu))=sqrt((T)/(rhoA))=sqrt((YalphaDeltaT)/(rho))`
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