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TS EAMCET · Physics · Waves and Sound

A uniform rope of mass \(0.1 \mathrm{~kg}\) and length \(2.45 \mathrm{~m}\) hangs from a rigid support. The time taken by the transverse wave formed in the rope to travel through the full length of the rope is (Assume \(g=9.8 \mathrm{~m} / \mathrm{s}^2\) )

  1. A \(0.5 \mathrm{~s}\)
  2. B \(1.6 \mathrm{~s}\)
  3. C \(1.2 \mathrm{~s}\)
  4. D \(1.0 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.0 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

The time taken by the transverse wave \(t=2 \sqrt{\frac{l}{g}}=2 \sqrt{\frac{2.45}{9.8}}=1 \mathrm{~s}\)
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