Physics - Wave on String Question with Solution | TestHub

A steel wire is rigidly fixed at both ends with negligible tension. Its length, mass and cross-sectional area are 1 m .0 .1 kg and $10^{-6}{\mathrm{m}}^2$ respectively. Then the temperature of the wire is lowered by $20^{\circ }\mathrm{C}$. If the transverse waves are setup by plucking the wire at 0.25 m from one end (i.e., making this point an antinode) and assuming that wire vibrates with minimum number of loops possible for such a case. Find the frequency (in Hz ) of vibration. [coefficient of linear expansion of steel $=1.6\times 10^{-6}/{}^0\mathrm{C}$ and Young's modulus $=2\times 10^{11}\mathrm{N}/{\mathrm{m}}^2$ ]