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There have been suggestions that the val...

There have been suggestions that the value of the gravitational constant `G` becomes smaller when considered over very large time period (in billions of years) in the future. If the happens for our earth.

A

nothing will change

B

we will become hotter after billions of years

C

we will be going around but not strictly in closed orbits

D

after sufficiently long time we will leave the solar system

Text Solution

Verified by Experts

The correct Answer is:
C, D
We know that gravitational force between the earth and the sun.
`F_(G) = (GMm)/(r^(2))`, where M is mass of the sun and `m` is mass of the earth.
When G decreases with time, the gravitational force `F_(G)` will become weaker with time. As `F_(G)` is changing with time. Due to it, the earth will be going around the sun not strictly in closed orbit and radius also increases, since the attraction force is getting weaker.
Hence, after long time the earth will leaver the solar system
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