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MHT CET202122 Sep 2021Morning ShiftPhysicsWaves and SoundActual

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 positions of the bridges. The value of ' M ' is

Options

  1. A5 kg
  2. B12.5 kg
  3. C1 25 ~kg
  4. D25 kg

Correct answer

D. 25 kg

Step-by-step solution

For a vibrating wire, we have Tp ^2= constant Where p is the number of loops formed and T is the tension aligned & T ₁=9 ~kg - wt , p ₁=5, p ₂=3 & T ₁ P ₁^2= T ₂ P ₂^2 & 9 25= T ₂ 9 & T ₂=25 ~kg - wt aligned

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