Question

Planet A has double the radius than that of Planet B. If the mass of Planet A is 4 times heavier than the mass of Planet B, which of the following statements regarding weight of an object is correct?

• A. Heavier on Planet A than on Planet B
• B. Heavier on Planet B than on Planet A
• C. Same on both the Planets
• D. Cannot be measured on Planet B

Answer 1

The correct option is C Same on both the Planets

Gravitional field on planet A: $\frac{G\times 4m}{(2r{)}^2}=\frac{G\times m}{r^2}$

Gravitional field on planet B: $\frac{G\times m}{r^2}$

$⟹$ weight of the object on both of the planets is equal.