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
- A \(1: 16\)
- B \(16: 1\)
- C \(1: 4\)
- D \(4: 1\)
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…
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