Question:
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same position of the bridges. The value of M is
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same position of the bridges. The value of M is
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For sonometer wire:
f ∝ fracn√(T)
Number of loops is directly proportional to frequency.
Updated On: Mar 20, 2026
- 25 kg
- 5 kg
- 12.5 kg
- 1.25 kg
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The Correct Option is B
Solution and Explanation
Step 1: Frequency relation for sonometer f ∝ fracn√(T)
Step 2: For same tuning fork fracn₁√(T₁) = fracn₂√(T₂)
Step 3: Substituting values \frac5√(9) = \frac3√(M) ⟹ M = 5 kg
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