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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

Answers (1)

The correct answer is the option (c) and (d)

Force of gravitation = Centrifugal force for a body in a circular motion

F=\frac{GmM}{r^{2}}

If G becomes smaller, the centripetal force also decreases

We know that v_{o}\alpha \sqrt{G}, Thus, the centrifugal force becomes larger than the centripetal force (F\; \alpha \; G)

Distance from sun increases and earth will move in larger orbit in time.

C, D are correct.

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