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//3`
B. `1//2`
C. `1//4`
D. `1//5`

Answer

B

Explanation

`F=(Gm(M-m))/(d^2)`
`rArr(dF)/(dm)=0rArrG/(d^2)[m(-1)+(M-m).1]=0`
`rArr-m+M-m=0rArrm=M/2` or `m/M=1/2`