Question

If the mass of the sun is made ten times smaller and the universal gravitational constant is made ten times larger in magnitude, then which of the following is not correct ?

• A. Raindrops will fall faster.
• B. $g$ on the earth will not change.
• C. Time period of a simple pendulum on the earth would decrease.
• D. Escape velocity of an object on the earth's surface will increase.

Answer 1

The correct option is B $g$ on the earth will not change.

$m_s\text{'}=\frac{m_s}{10}\&G\text{'}=10G{g^{\prime }}_E=\frac{G\text{'}{M}_E}{R^2}=\frac{10G{M}_E}{R^2}=10g$
Raindrops will fall faster, walking on the ground would become more difficult, time period of a simple pendulum on the earth would decrease.