STANDARDPhysics-Oscillations

STANDARD Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The displacement-time graph for a particle executing SHM is as shown in figure. Which of the following statements is correct?

Question diagram
A

The velocity of the particle is maximum at t = 34\frac{3}{4}T

B

The velocity of the particle is maximum at t = T2\frac{T}{2}

C

The acceleration of the particle is maximum at t = T4\frac{T}{4}

D

The acceleration of the particle is maximum at t = 34\frac{3}{4}T

Correct Answer

Option D

Detailed Explanation

In simple harmonic motion (SHM), the acceleration of the particle is maximum at the extreme positions of the displacement, which occurs at t=T4t = \frac{T}{4} and t=34Tt = \frac{3}{4}T. At t=34Tt = \frac{3}{4}T, the particle is at its maximum displacement in the opposite direction, resulting in maximum acceleration. Conversely, the velocity is maximum at t=T2t = \frac{T}{2} when the particle passes through the equilibrium position, making options A and B incorrect. Option C is also incorrect because the maximum acceleration occurs at the extreme positions, not at t=T4t = \frac{T}{4}.

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