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MHT CET202120 Sep 2021Evening ShiftPhysicsOscillationsActual

A mass ' m ₁ ' is suspended from a spring of negligible mass. A spring is pulled slightly in downward direction and released; mass performs S.H.M. of period ' T ' '. If the mass is increased by ' m ₂ ', the time period becomes ' T ₂ '. The ratio m ₂ ~m ₁ is

Options

  1. AT ₁^2+ T ₂^2 ~T ₁^2
  2. BT₁-T₂ T₁
  3. CT ₂^2- T ₁^2 ~T ₁^2
  4. DT ₁^2- T ₂^2 ~T ₁^2

Correct answer

C. T ₂^2- T ₁^2 ~T ₁^2

Step-by-step solution

aligned & T ₁=2 m ₁ k and T ₂=2 m ₁+ m ₂ k & T ₂ ~T ₁ = m ₁+ m ₂ ~m ₁ & T ₂^2 ~T ₁^2 = m ₁+ m ₂ ~m ₁ & T ₂^2- T ₁^2 ~T ₁^2 = m ₂ ~m ₁ aligned

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