Question

If the mass of sun were ten times smaller and gravitational constant G were ten times larger in magnitudes, then which one of the following statements is incorrect ?

• A. Walking on ground would become more difficult.
• B. The acceleration due to gravity on earth will not change.
• C. Raindrops will fall much faster.
• D. Airplanes will have to travel much faster.

Answer 1

Answer: (B)

The acceleration due to gravity on earth will not change.

Answer 2

When G increases ten times, the acceleration due to gravity on earth becomes

Hence, statement (2) is incorrect.

$\therefore$Weight of person = mg` = m(10g) = 10 mg

Where m is the mass of the person

Gravity pull on person will increases. Due to it, walking Hence, (1) is a correct statement.

Terminal speed of rain drop

Where the symbols have their usual meanings. Since as g increases , increases.

Hence, (3) is correct statement.

To overcome the increases gravitational pull of earth, the aeroplanes will have to travel much faster.