A steel wire of length 1 ~m , mass 0.1 ~kg and uniform area of cross section 10⁻⁶ ~m ^2 is rigidly fixed at both the ends without any tension. Its temperature is lowered by 20^ C and transverse waves are set up by plucking the wire at the middle. The frequency of the fundamental mode is ( Y =200 GPa , =1.21 10⁻⁵ ^ C ⁻¹ )