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AP EAMCET · PHYSICS · Waves and Sound

A string of length ' \(L\) ' is stretched by \(\frac{L}{20}\) and the speed of transverse waves along it is ' \(v\) '. The speed of wave when it is stretched by \(\frac{\mathrm{L}}{10}\) will be (assume that Hooke's law is applicable)

  1. A \(2 \mathrm{v}\)
  2. B \(\frac{\mathrm{v}}{\sqrt{2}}\)
  3. C \(\mathrm{v} \sqrt{2}\)
  4. D \(4 v\)
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Answer & Solution

Correct Answer

(C) \(\mathrm{v} \sqrt{2}\)

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Detailed explanation

\(\begin{aligned} & v \propto \sqrt{\mathrm{T}} \\ & \mathrm{T} \propto \Delta \mathrm{l} \\ & v \propto \sqrt{\Delta \mathrm{l}}\end{aligned}\)…
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