A particle free to move along the x-axis has potential ener…

Physics Work, Energy, Power and Collision Mix MCQ (Single Correct)

A particle free to move along the x-axis has potential energy given by for , where k is a positive constant of appropriate dimensions. Then

At point away from the origin, the particle is in unstable equilibrium

For any finite non-zero value of x, there is a force directed away from the origin

If its total mechanical energy is k/2, it has its minimum kinetic energy at the origin

For small displacements from x = 0, the motion is simple harmonic

Text Solution

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The correct answer is:

Potential energy of the particle

Force on particle

For small displacement

⇒ ⇒ i.e. motion is simple harmonic motion.

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