Correct option is D
Correct Answer: D — p² / 2m
Explanation
Momentum {
p) of a particle is given by: p = m v
where:
· m = mass of the particle
· v = velocity of the particle
So, velocity: v = p / m
The kinetic energy {
K) of a particle is: K = (1/2) m v²
Substitute v = p / m:
K = (1/2) m × (p / m)² K = (1/2) m × (p² / m²) K = p² / 2m