Two objects are placed at some distance, If its masses becomes two times and distance between them becomes half then value of new gravitational force will be :

Options

A. 4 times
B. 8 times
C. 16 times
D. 32 times

Answer

C

Explanation

`F=(Gm_(1)xxm_(2))/(R^(2))`
According to given condition
`F'=(G2m_(1)xx2m_(2))/((R//2)^(2))`
`F'=16(Gm_(1)m_(2))/(R^(2))=16 F`
`F'=16F`