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If the distance between two objects is doubled, the gravitational force between them

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Remains the same

Gets doubled

Gets halved

Becomes one-fourth

answer is D.

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Detailed Solution

The gravitational force between two objects becomes one-fourth if the distance between them is doubled.
When the distance between two objects is doubled, the gravitational force is reduced by one-fourth because,

F = G \frac{m_{1} x m_{2}}{R^{2}}

So, if

R = 2 R

then

\Rightarrow F_{new} = G \frac{m_{1} x m_{2}}{{4 R}^{2}}

\Rightarrow F_{new} = \frac{F}{4}

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