JEE Physics · Hard

Waves on String: Time for Pulse MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Time for PulseHardQuestion 31380

Question

Time for transverse pulse to travel from bottom to top of hanging chain (length L):
  1. A
    √(L/g)
  2. B
    2√(L/g)
    Correct
  3. C
    4√(L/g)
  4. D
    √(4L/g)

Correct answer

2√(L/g)

Explanation

v = √(gx). dt = dx/v = dx/√(gx). t = ∫₀ᴸ dx/√(gx) = (1/√g)×2√x |₀ᴸ = 2√(L/g).