Two particle of mass `m_1 and m_2` approach each other due to their mutual gravitational attraction only. Then

Options

A. acceleration of both the particles are equal
B. acceleration of the particle of mass `m_1` is proportional to `m_1`
C. acceleration of the particle of mass `m_1` is proportional to `m_2`
D. acceleration of the particle of mass `m_1` is inversely proportional to `m_1`.

Answer

C

Explanation

Force ,`F=(Gm_1m_2)/(r^2)`
So, acceleration of the particle with mass `m_1` ,
`a_1=F/(m_1)=(Gm_2)/(r^2)`
i.e., `a_1 prop m_2`