The separation between two masses is reduced to half. How is the magnitude of gravitational force between them affected?

Force will become four times

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Force will remains same

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Force will become twice

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Force will become eight times

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Solution

The correct option is A Force will become four times
The gravitational force is directly proportional to the product of the masses and inversely proportional to square of the distance.
$F = \frac{G \times m_{1} \times m_{2}}{r^{2}}$
Hence, as two of the masses are reduced by half it becomes four times of the original force.

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The separation between two masses is reduced to half. How is the magnitude of gravitational force between them affected?

The correct option is A Force will become four timesThe gravitational force is directly proportional to the product of the masses and inversely proportional to square of the distance. F=G×m1×m2r2 Hence, as two of the masses are reduced by half it becomes four times of the original force.