Assertion: When distance between bodies is doubled and also mass of each body is also doubled, gravitational force between them remains the same.
Reason: According to Neweton's law gravitational, force is directely proportional to mass of bodies and inversely proportional to square of distance between them.

Options

A. If both the assertion and reason are true and reason is a true explantion of the assertion.
B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
C. If the assertion is true but reason false
D. If both the assertion and reason are false.

Answer

A

Explanation

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