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    The momentum of a particle having mass m is p. Its kinetic energy will be:
    Question

    The momentum of a particle having mass m is p. Its kinetic energy will be:

    A.

    mp

    B.

    p²m

    C.

    p² / m

    D.

    p² / 2m

    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

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