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MHT CET202620 April 2026Morning ShiftPhysicsOscillationsActual

Two springs of force constants ' 2k ' and ' k ' are connected to a mass ' m ' as shown. Mass is displaced slightly to one side and released. The frequency of oscillation of the two springs-mass system is

Options

  1. A1 2 m k
  2. B1 2 k m
  3. C1 2 2k m
  4. D1 2 3k m

Correct answer

D. 1 2 3k m

Step-by-step solution

When the mass m is displaced by a small distance x from its equilibrium position, one spring is stretched by x while the other is compressed by x . Both springs exert a restoring force in the same direction, opposite to the displacement. The total restoring force on the mass is: F = -2kx - kx = -3kx The equivalent spring constant of the system is: k_ eq = 3k The frequency of oscillation is given by: f = 1 2 k_ eq m = 1 2 3k m Answer: 1 2 3k m

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