A system of two particles is having masses `m_(1)` and `m_(2)`. If the particle of mass `m_(1)` is pushed towards the centre of mass of particles through a distance d, by what distance the particle of mass `m_(2)` should be moved so as to keep the centre of mass of particles at the original position ?

Options

A. `(m_1)/(m_1+m_2)d`
B. `d`
C. `(m_1)/(m_2)d`
D. `(m_2)/(m_1)d`

Answer

C

Explanation

`m_1x_1=m_2x_2`
`m_1 d=m_2 x_2`
`rArr x_2=((m_1)/(m_2))d`