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Question 31376
JEE Physics · Hard

Waves on String: Sonometer MCQ

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SonometerHardQuestion 31376

Question

Two wires of ratio of radii 2:1, same material, length, tension vibrate at fundamental. Ratio of frequencies f₁:f₂ (thicker:thinner) is:
  1. A
    1:2
    Correct
  2. B
    2:1
  3. C
    1:4
  4. D
    4:1

Correct answer

1:2

Explanation

μ = ρπr². μ ∝ r². f ∝ 1/√μ ∝ 1/r. f₁/f₂ = r₂/r₁ = 1/2. Thicker wire has half the frequency.

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