There have been suggestions that the value of the gravitational constant G becomes smaller when considered over an exceptionally large time period in the future. If that 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 a sufficiently long time we will leave the solar system
The correct answer is the option (c) and (d)
Force of gravitation = Centrifugal force for a body in a circular motion
If G becomes smaller, the centripetal force also decreases
We know that , Thus, the centrifugal force becomes larger than the centripetal force
Distance from sun increases and earth will move in larger orbit in time.
C, D are correct.