ExamBro
ExamBro
AP EAMCET · PHYSICS · Waves and Sound

The ratio of radii of two wires is \(1: 2\) and the density of their materials are in the ratio \(1: 4\). If same tension is applied to both the wires then the ratio of the speed of transverse waves produced in them is

  1. A \(1: 16\)
  2. B \(16: 1\)
  3. C \(1: 4\)
  4. D \(4: 1\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(4: 1\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{1}{2} ; \frac{\rho_1}{\rho_2}=\frac{1}{4} \\ \mathrm{v}= & \sqrt{\frac{\mathrm{T}}{\mu}}\left(\text { where } \mu=\frac{\text { mass }}{\text { Length }}=\frac{\rho \mathrm{V}}{\mathrm{L}}=\rho \mathrm{A}=\rho \pi…