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A mass M splits into two parts m and ...

A mass M splits into two parts m and (M - m) , which are then separated by a certain distance. Wha ratio (m/M) maximize the gravitational force between the path ?

A

`1//3`

B

`1//2`

C

`1//4`

D

`1//5`

Text Solution

Verified by Experts

The correct Answer is:
B
`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`
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