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Question

The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become:

A
F/4
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B
F/2
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C
F
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D
2 F
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Solution

The correct option is A F/4
The force of gravitational attraction between the two bodies of mass (M) and (m) is F=GMmr2.
Now, If masses of both objects are halved without changing distance between them or M=M2 and m=m2
Now,
F=GMm4r2.
Thus, force becomes one-fourth as we reduce the masses to half without altering the distances.

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