Velocity of transverse wave in a stretched string is ‘V’ when elongation produced in it is ‘x’, what will be the velocity of transverse wave in the same string when elongation produced in it is ‘2x’ ?

If Y be the young’s modulus of the material of the string, µ be the mass per unit length and S be the cross-sectional area, ThenV = Tμ   and  T = Area× Stress = S.γ.xL ∴ V=S.Y.xLμ  and  V'=S.Y.2xLμ∴V'V=2⇒V'=2.V