Two particles of mass `m_(1)andm_(2)`, approach each other due to their mutual gravitational attraction only. Then:

Options

A. acceleration of the particle of mass `m_(1)` is inversely proportional to `m_(1)`
B. acceleration of the particle of mass `m_(1)` is proportional to `m_(2)`
C. acceleration of the particle of mass `m_(1)` is proportional to `m_(1)`
D. acceleration of both the particles are equal

Answer

B

Explanation

The given situation is shown in the figure:

Gravitational force,
`F=(Gm_(1)m_(2))/(r^2)`
Acceleration of particle of mass `m_(1)`,
`a_(1)=(F)/(m_1)=(Gm_2)/(r^2)`
`a_(1)propm_(2)`