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MHT CET Medical202622 April 2026Evening ShiftPhysicsOscillationsActual

The body of mass M is performing S.H.M. as shown in the figure. The periodic time ' T ' of oscillation of a given system is

Options

  1. A2 5M 2k
  2. B2 2M 5k
  3. C1 2 5M 2k
  4. D1 2 2M 5k

Correct answer

A. 2 5M 2k

Step-by-step solution

The top two springs are connected in series. Their equivalent spring constant is K₁ = K K K + K = K 2 . The bottom two springs are connected in parallel. Their equivalent spring constant is K₂ = K + K = 2K . These two combinations are connected in series. The effective spring constant K_ eq of the entire system is given by: 1 K_ eq = 1 K₁ + 1 K₂ 1 K_ eq = 1 K/2 + 1 2K = 2 K + 1 2K = 5 2K K_ eq = 2K 5 The time period of oscillation is T = 2 M K_ eq . T = 2 M 2K 5 = 2 5M 2K Answer: 2 5M 2k

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