Consider the following two statements:
A. Linear momentum of a system of particles is zero.
B. Kinetic energy of a system of particles is zero.

Options

A. I implies II and II implies I.
B. I does not imply II and II does not imply I.
C. I implies II but II does not imply I
D. I does not imply II but II implies I.

Answer

D

Explanation

If the kinetic energy of a system of particles is zero, it means all the particles are at rest. Hence, the momentum is zero. Thus II implies I.

But if the momentum of a system of particles is zero, it does not mean that all the particle are at rest. Hence, the particle may possess kinetic energy. Thus I does not imply II.