ExamBro
ExamBro
AP EAMCET · PHYSICS · Waves and Sound

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

  1. A \(21 \mathrm{~Hz}\)
  2. B \(42 \mathrm{~Hz}\)
  3. C \(11 \mathrm{~Hz}\)
  4. D \(22 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(11 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.