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Questions  

A mass M is split into two parts, m and (M–m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts

a
1/3
b
1/2
c
1/4
d
1/5

detailed solution

Correct option is B

F=Gm(M−m)r2For maximum force dFdm=0⇒ddmGmMr2−Gm2r2=0⇒M−2m=0⇒mM=12

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