Work Energy And Power Question 68
Question: 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 [IIT-JEE 1999; UPSEAT 2003]
Options:
A) At point away from the origin, the particle is in unstable equilibrium
B) For any finite non-zero value of x, there is a force directed away from the origin
C) If its total mechanical energy is k/2, it has its minimum kinetic energy at the origin
D) For small displacements from x = 0, the motion is simple harmonic
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Answer:
Correct Answer: D
Solution:
Potential energy of the particle
Force on particle
For small displacement
therefore