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The extension in a string, obeying Hooke...

The extension in a string, obeying Hooke's law, is x. The speed of sound in the stretched string is v. If the extension in the string is increased to `1.5 x`, the speed of sound will be :-

A

1.22 v

B

0.61 v

C

1.50 v

D

0.75 v

Text Solution

Verified by Experts

The correct Answer is:
A
`vpropsqrt("Tension")rArrv=sqrt(kx)`
`v'=sqrt(k(1.5x))rArr(v')/(v)=sqrt(1.5)=1.22rArr v'=1.22v`.
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