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AIIMS 2018 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Assertion : The force acting on a particle moving along x-axis is F=−k(x+v0t)F = -k(x + v_0t), where kk is a constant.

Reason : To an observer moving along x-axis with constant velocity v0v_0, it represents S.H.M.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option A

Detailed Explanation

The equation F=−k[x+(v0−v0)t]F = -k[x + (v_0 - v_0)t] simplifies to F=−kxF = -kx, indicating that the force acting on the particle is directly proportional to its displacement xx from the equilibrium position and directed towards that position, which is characteristic of simple harmonic motion (SHM). This relationship confirms that the particle will oscillate back and forth, exhibiting periodic motion. Other options are not applicable as they do not provide relevant information or alternative interpretations of the force equation in the context of SHM. Understanding this fundamental principle is crucial for analyzing oscillatory systems in physics.

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