Question

A particle can have non-zero kinetic energy and zero momentum.

• A. True
• B. False

Answer 1

The correct option is B False

1. The relation between the kinetic energy and momentum is given by
   $k=\frac{p^2}{2m}$
   Where $\text{K}$ is the kinetic energy,
   $\mathrm{p}$ is the momentum, and
   $\mathrm{m}$ is the mass of the particle.
2. From the above relation, we can say that, if the kinetic energy of the body is zero, then the momentum of the particle is also zero, and if the kinetic energy is non-zero then the momentum is also non-zero.

Hence, the given statement is False.