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 ?

Question

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

Doubtly AI · Accepted Answer

Answer: 4. 'g' on the Earth will not change. Check each statement with M_sun→ M/10 and G→10G . The Earth's g=GM_e/R_e² becomes 10 times larger since M_e and R_e are unchanged. So statement 4 ('g will not change') is incorrect. Raindrops fall faster, a pendulum's period 2π√(l/g) decreases, and walking is harder because the weight is greater: all correct. The Sun's mass has no effect on g at the Earth's surface in this approximation.

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 ?

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