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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
Centripetal force is provided by gravitational force between `M_(s)` and `M_(e)`. Therefore, `F = (Gm_(e)M_(s))/(r^(2))`
According to question, if G decreases with time, F will become weaker with time. If gravitational force decreases, the planet will go further apart, as a result, r will increase. Hence, we will not be going around the Sun in closed orbits and after sufficiently long time, the earth will leave the solar system.
The correct options are (c ) and (d).
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MODERN PUBLICATION-GRAVITATION-NCERT FILE (Exemplar Problems (Objective Questions) (Multiple Choice questions) )
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  8. Give one example each of central and non-central force.

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  9. Draw areal velocity time graph for Mars.

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  10. What is the direction of areal velocity of the earth around the sun?

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  11. How is the gravitational force between two point masses affected when ...

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  12. Is it possible for a body to have inertia but no weight?

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