JEE Previous Year Question

In a system two particles of masses $m_1=3\text{kg}$ and $m_2=2\text{kg}$ are placed at certain distance from each other. The particle of mass $m_1$ is moved towards the center of mass of the system through a distance $2\text{cm}$. In order to keep the center of mass of the system at the original position, the particle of mass $m_2$ should move towards the center of mass by the distance______$\text{cm}$.

Topic: JEE PYQ

Answer: 3. Full step-by-step solution below.