A metallic wire of length L is fixed between two rigid supports. If the wire is cooled through a temperature difference ∆T (Y = young's modulus, p density, a coefficients of linear expansion) then the frequency of transverse vibration is proportional to

Dear student Tension in the string is developed in the wire the compression due to cooling is balanced by the expansion due tension generated Thus FL/AY = Lalpha * delT F = YAalpha *delT frequency of viberation = f = 1/2L (sqrt (F/mew)f is directly proportional to (sqrt (YAalpha * delT ) )row *A*L = mew*Lf is directly proportional to sqrt (Y *alpha / row)

Approved