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

Options

A. A implies B , and B implies A .
B. A does not imply B , and B does not imply A .
C. A implies B , but B does not imply A .
D. B implies A , but A does not imply B.

Answer

B

Explanation

Kinetic energy is a scalar quantity hence for total kinetic energy to be zero , velocity of each particle must be zero hence total linear momentum will be zero . Linear momentum is a vector quantity and can be zero even if velocities of all the particles are non zero . So we can understand that B implies A , but A does not imply B .