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Question 31368
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Waves on String: Power MCQ

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PowerHardQuestion 31368

Question

Two strings of same tension. String 1 (μ₁ = μ) carries wave of amplitude A and frequency f. String 2 (μ₂ = 4μ) carries wave at same A and f. Ratio P₁:P₂:
  1. A
    1:2
    Correct
  2. B
    2:1
  3. C
    1:4
  4. D
    1:√2

Correct answer

1:2

Explanation

P = ½μω²A²v = ½μω²A²√(T/μ) = ½ω²A²√(μT). P ∝ √μ. P₁/P₂ = √(μ/4μ) = 1/2. So P₁:P₂ = 1:2.

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