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(C) The net external force acting on the system is zero because the particles move under the influence of their internal mutual attraction.According t

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(C) The net external force acting on the system is zero because the particles move under the influence of their internal mutual attraction.According to the law of conservation of momentum,if the net external force is zero,the velocity of the centre of mass remains constant.Initially,both particles are at rest,so the initial velocity of the centre of mass is $\vec{v}_{cm} = 0$.Since the initial velocity is zero and no external force acts on the system,the velocity of the centre of mass will remain zero at any instant.

Two particles which are initially at rest,move towards each other under the action of their internal attraction. If their speeds are $v$ and $2v$ at any instant,then the speed of the centre of mass of the system will be

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