Planet A has double the radius than that of planet B

• GP Gravitation

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?

1. Heavier on Planet B than on Planet A
2. Same on both the Planets
3. Cannot be measured on Planet B
4. Heavier on Planet A than on Planet B

Answer

Weight = mg

g is directly proportional to the mass of the planet and inversely proportional to the square of the radius.

g_A ∝ 4M/(2R)² = M/R²

The correct option is B.