MHT CET Medical202621 April 2026Morning ShiftPhysicsOscillationsActual
For a particle executing simple harmonic motion , which of the following statements is NOT correct?
Options
- AThe magnitude of acceleration is directly proportional to displacement.
- BThe restoring force is always directed towards fixed point.
- CThe restoring force is maximum at extreme position.
- DThe acceleration of the particle is maximum at equilibrium position.
Correct answer
D. The acceleration of the particle is maximum at equilibrium position.
Step-by-step solution
In simple harmonic motion, the acceleration of a particle is given by a = - ^2 x , where x is the displacement from the equilibrium position. At the equilibrium position, the displacement x = 0 . Substituting x = 0 in the expression for acceleration, we get a = 0 . Thus, the acceleration of the particle is minimum (zero) at the equilibrium position, not maximum. The restoring force F = -kx is directed towards the equilibrium position and its magnitude is maximum at the extreme positions where x = A . Therefore, the