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If a ball of mass m elastically collides against a wall with velocity v and return in the opposite direction with the same velocity, then the change in momentum is equal to

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2 m

2 v

2 mv

4 mv

answer is C.

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Detailed Solution

$\begin{array}{l} Δp = m_{1} v_{1} - m_{1} u_{1} \\ = m (- u) - m (u) \\ = - 2 mu \end{array} \begin{array}{l} | Δp | = 2 mv ∵ u = v \\ Δp = p_{1} - p_{2} \\ (or) Δp = mv - (- mv) \\ = 2 mv \end{array}$

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