How does the gravitational force between two bodies changes if mass of one body is doubled but the distance between them remains the same?

How does the gravitational force between two bodies changes if mass of one body is doubled but the distance between them remains the same?

Text Solution

If both the assertion and reason are true and reason is a true explantion of the assertion.If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.If the assertion is true but reason falseIf both the assertion and reason are false.

Answer : A

Solution : Accroding to Newton's law of gravitation, <br> `F=(Gm_(1)m_(2))/(r^(2)`. When `m_(1), m_(2)` and `r_(2)` all are doubled, <br> `F=(G(2m_(1))(2m_(2)))/((2r)^(2))=(Gm_(1)m_(2))/(r^(2))`, i.e, `F` remains the same.

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