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

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The force between the two parts is F = r 2 G m ( M − m ) ​ . For maximum force, d m d F ​ = 0 ⇒ M − 2 m = 0 , so M m ​ = 2 1 ​ . Ans (B)

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