NEET 2018 Physics question

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?

(1)Time period of a simple pendulum on the Earth would decrease
(2)Walking on the ground would become more difficult
(3)Raindrops will fall faster
(4)'' on the Earth will not changeCorrect

Answer: (4)

Solution

The acceleration due to gravity on Earth is . If becomes (and , are unchanged; the Sun's mass does not enter), , i.e. increases. Consequently: the pendulum period decreases (statement 1 true);

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Question ID VK-092234