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TS EAMCET · Physics · Waves and Sound

A wire of length \(50 \mathrm{~cm}\) and weighing \(10 \mathrm{gm}\) is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of \(50 \mathrm{~N} / \mathrm{m}\) and is stretched by \(1 \mathrm{~cm}\). If a wave pulse is produced on the string near the wall, then how much time will it take to reach the spring?

  1. A \(0.1 \mathrm{~s}\)
  2. B \(0.2 \mathrm{~s}\)
  3. C \(0.3 \mathrm{~s}\)
  4. D \(0.4 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.1 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

Tension in wire \(=k x=50 \times \frac{1}{100}=0.5 \mathrm{~N}\) Mass per unit length of string \(\mu=\frac{m}{l}\) \[ =10 \times 10^{-3}=\frac{1}{50} \mathrm{kgm}^{-1}=50 \times 10^{-2} \] Speed of wave pulse on string,…
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