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

Options

A. 1.22 v
B. 0.61 v
C. 1.5 v
D. 0.75 v

Answer

A

Explanation

Velocity of sound in a string `v = sqrt(T/m), therefore T = -kx`
`v/v^(.) = sqrt(T/T^(.)) = sqrt(x/X.) = sqrt(x/(1.5 x)) = 1/1.22` or `v. = 1.22 v`