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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 `1.5x`, the speed of sound will be

A

`1.22 v`

B

`1.61 v`

C

`1.50 v`

D

`0.75 v`

Text Solution

Verified by Experts

The correct Answer is:
A
Tension `prop` extension, speed `prop sqrt("tension")`
`(v')/(v) = (sqrt(1.5 x))/(x) rArr v' = 1.22 v`
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