A uniform wire has length l and area of cross section `alpha ` and the density of its material is `rho` . If the wire is stretched with a tension T , what would be the velocity of a transverse wave travelling along it ?

Answer

Volume of unit length of the wire = unit length `xx` area of cross section ` = 1 xx alpha = alpha` ; then linear density = mass per unit length , m = `rho alpha` .
`:.` Velocity of a transverse wave ,
` V = sqrt((T)/(m)) = sqrt((T)/(rho alpha))`