Two particles 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 the particle of mass `m_(1)` is proportional to `m_(2)`.
D. accelaration of the particle of mass `m_(1)` is inversely proportional to `m_(1)`.

Answer

C

Explanation

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) prop m_(2)`.