Effect of varying G and solar mass – Rankers Physics

Newton's Law of Gravitation: Practice Problem & Solution

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct? (2018)
Time period of a simple pendulum on the Earth would decrease
Walking on the ground would become more difficult
Raindrops will fall faster
'$g$' on the Earth will not change

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Newton's Law of Gravitation. Understanding the underlying formula is key to arriving at the correct answer below:

The value of acceleration due to gravity on Earth is $g = \frac{GM}{R^2}$. If $G$ increases by $10$ times, $g$ also increases by $10$ times since it depends on the mass of the Earth, not the Sun. Hence, the statement that '$g$' will not change is incorrect.

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