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MHT CET202120 Sep 2021Evening ShiftPhysicsWaves and SoundActual

A sonometer wire resonates with 4 antinodes between two bridges for a given tuning fork, when 1 ~kg mass is suspended from the wire. Using same fork, when mass M is suspended, the wire resonates producing 2 antinodes between the two bridges (distance between two bridges is as before). The value of M is

Options

  1. A2.5 ~kg
  2. B3.5 ~kg
  3. C4 ~kg
  4. D1 ~kg

Correct answer

C. 4 ~kg

Step-by-step solution

If p is the number of loops (or antinodes) then we have, aligned & f = p 2 T & or Tp ^2= constant & T ₁ p ₁^2= T ₂ p ₂^2 & or T ₂ ~T ₁ = p ₁^2 p ₂^2 = ( 4 2 )^2=4 & T ₂=4 ~T ₁=4 ~kg aligned

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