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Two particles are placed at some distanc...

Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be

A

`(1)/(4)`times

B

4 times

C

`(1)/(2)`times

D

unchanged

Text Solution

Verified by Experts

The correct Answer is:
B
From `F=(Gm_(1)m_(2))/d^(2)`
As d is kept fixed and `m'_(1)2m_(1)` and `m'_(2)=2m_(2)`
`:. F'=(Gm'_(1)m'_(2))/d^(2)=(G(2m_(1))(2m_(2)))/d^(2)=4F`,
i.e, gravitational force become 4 times.
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