A steel wire of length 1 m

PHYSICS · Subjective · CBSE · Physics · Waves · Waves

Problem

A steel wire of length 1 m, mass 0.1 kg and uniform cross-sectional area

10^{-6} \text{ m}^2

is rigidly fixed at both ends. The temperature of the wire is lowered by

20^\circ \text{C}

. If transverse waves are set up by plucking the string in the middle, calculate the frequency of the fundamental mode of vibration. Given for steel

Y = 2 \times 10^{11} \text{ N/m}^2

\alpha = 1.21 \times 10^{-5} \text{ per } ^\circ\text{C}