The mass of a body of a body is increased 4 fold and mass of other body is increased 16 fold and mass of other body is increase 16 fold. How should the distance between then be change to keep the same gravitational force between them ?

Options

A. 4 times
B. `(1)/(4)` times
C. 8 times
D. `(1)/(8)` times

Answer

C

Explanation

`F=(Gm_(1)m_(2))/d^(2)=(G(4m_(1))(16m_(2)))/(d'^(2)) :.d'^(2)=64d^(2)` or `d'=8d`.