A steel wire of length 1 m, mass 0.1 kg and uniform cross sectional area ` 10^(-6)m^(2)` is rigidly fixed at two ends. The temperature of the wire is lowered by `20^(@)` C . If transverse waves are now set up by lucking the string at the middle, calculate the frequency of the fundamental tone. Givne, for steel, co-efficient of linear expansion `= 1.21 xx 10^(-5_(@))C^(1)` and Young's modulus ` = 2 xx 10 ^(11) N* m^(-2)` .

Answer

11Hz