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MHT CET Medical202623 April 2026Evening ShiftPhysicsOscillationsActual

A body of mass 1 kg is performing linear SHM. Its displacement x (cm) at t (s) is given by x=6 (100t+ 4 ) . Maximum kinetic energy of the body is

Options

  1. A9 J
  2. B18 J
  3. C27 J
  4. D36 J

Correct answer

B. 18 J

Step-by-step solution

Given displacement equation is x = 6 (100t+ 4 ) cm. Comparing with the standard equation of SHM x = A ( t + ) , we get: Amplitude A = 6 cm = 0.06 m Angular frequency = 100 rad/s Maximum velocity of the body is given by v_ max = A v_ max = 0.06 100 = 6 m/s Maximum kinetic energy is K_ max = 1 2 mv_ max ^2 Substituting the values, K_ max = 1 2 1 (6)^2 = 18 J. Answer: 18 J

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