Consider a two particle system with particles having masses $$m_1$$ and $$m_2$$. If the first particle is pushed towards the centre of mass through a distance $$d$$, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

A

$$d$$

B

$$\dfrac{m_2}{m_1}d$$

C

$$\dfrac{m_1}{m_1+m_2}d$$

D

$$\dfrac{m_1}{m_2}d$$