STANDARD Physics Simple Harmonic Motion MCQ Question
The displacement-time graph for a particle executing SHM is as shown in figure. Which of the following statements is correct?

The velocity of the particle is maximum at t = T
The velocity of the particle is maximum at t =
The acceleration of the particle is maximum at t =
The acceleration of the particle is maximum at t = T
Correct Answer
Detailed Explanation
In simple harmonic motion (SHM), the acceleration of the particle is maximum at the extreme positions of the displacement, which occurs at and . At , the particle is at its maximum displacement in the opposite direction, resulting in maximum acceleration. Conversely, the velocity is maximum at 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 .
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