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Question 31387
JEE Physics · Hard

Waves on String: Wave Speed Variation MCQ

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

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Wave Speed VariationHardQuestion 31387

Question

On a non-uniform string where μ = μ₀(1 + x/L), wave speed at x = L is (tension T throughout):
  1. A
    √(T/μ₀)
  2. B
    √(T/2μ₀)
  3. C
    √(T/(2μ₀))
    Correct
  4. D
    √(2T/μ₀)

Correct answer

√(T/(2μ₀))

Explanation

At x = L: μ(L) = μ₀(1+1) = 2μ₀. v(L) = √(T/(2μ₀)).

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