A mass \( M \) is split into two parts, \( \mathrm{m} \) and \( (M-m) \), which are then separat...

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A mass \( M \) is split into two parts, \( \mathrm{m} \) and \( (M-m) \), which are then separated by a certain distance. What ratio of \( \mathrm{m} / \mathrm{M} \) maximizes the gravitational force between the two parts
[AMU 2000; Similar Odisha JEE 2012]
(a) \( 1 / 3 \)
(b) \( 1 / 2 \)
(c) \( 1 / 4 \)
(d) \( 1 / 5 \)
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