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Question 31337
JEE Physics · Hard

Waves on String: Sonometer MCQ

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SonometerHardQuestion 31337

Question

A sonometer wire resonates with a tuning fork at 240 Hz. When 2 kg mass is added to the hanger (total becomes 5 kg), resonating length must change from L₁ to L₂ = L₁ × :
  1. A
    √(5/3)
    Correct
  2. B
    √(5/7)
  3. C
    5/3
  4. D
    √5

Correct answer

√(5/3)

Explanation

f ∝ √T/L. f stays at 240 Hz. T₁ = 3g, T₂ = 5g. L₂/L₁ = √(T₂/T₁) = √(5/3).

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