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

  $\mathrm{d}$
• B

  $\frac{m_2}{m_1} \mathrm{~d}$
• C

  $\frac{m_1}{m_1+m_2} d$
• Correct answer
  D

  $\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}$

Hence, the correct answer is option: 'D'.