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MHT CET202520 Apr 2025Morning ShiftPhysicsOscillationsActual

If the period of a oscillation of mass ' m ' suspended from a spring is 2 s , then the period of suspended mass ' 4 m ' with the same spring will be

Options

  1. A1 s
  2. B3s
  3. C2 s
  4. D4 s

Correct answer

D. 4 s

Step-by-step solution

The period of oscillation for a mass m attached to a spring with constant k is given by T = 2 m k . Since the period is proportional to the square root of the mass, the period ratio is T₂ T₁ = m₂ m₁ . Substituting the given values m₁ = m and m₂ = 4m yields T₂ 2 = 4 = 2 . Solving shows the new period is T₂ = 4 seconds . The correct option is D.

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