Mass `M` is split into two parts `m` and `(M-m)`, which are then separated by a certain distance. What is the ratio of `(m//M)` which maximises the gravitational force between the parts ?

Options

A. `1:4`
B. `1:2`
C. `4:1`
D. `2:1`

Answer

B

Explanation

`F=(Gm(M-m))/(x^(2))`
for maximum `(dfF)/(dm)=(G)/(x^(2))(M-2m)=0 rarr (m)/(M)=1/2`