The elongation in a stretched strings is `(1)/(n)` times its original length. Prove that the ratio of transverse wave velocity and longitudinal wave velocity in the strings is `(1)/(sqrt(n))`.

Explanation

`v_(t)=sqrt((T)/(rhopir^(2)))=sqrt((sigma)/(rho))=sqrt((Y)/(rho)(Deltal)/(l))=(1)/(sqrt(n))sqrt((Y)/(rho))=(1)/(sqrt(n))v_(l)`