by which factor the gravitational force between two object will change of the distance between them is doubled
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The gravitational force between two objects is inversely proportional to the square of distance between them.
So, if the distance between two objects is doubled, then the gravitational force becomes
1/(2*2)
That is, 1/4.
Therefore, if the distance between two masses be doubled, then the force between will becomes 1/4.
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