Question

Consider two uniform spherical planets of equal density but unequal radius. Which of the following quantities is the same for both planets?

Answer 1

which of what following quantities?

Answer 2

The escape velocity from the planet's surface.
The acceleration due to gravity at the planet's surface.
The orbital period of a satellite in a circular orbit just above the planet's surface.
The orbital period of a satellite in a circular orbit at a given distance from the planet's center.
None of the above.

Answer 3

with equal mass/volume ratio but different radius=different volume=different masses.
all of the above depends on g. thus they will all differ.