Question

Two planets A and B of same mass and same radius are shown in the figure. p1 and p2 are densities of the materials in the planets and (p1>p2) .If the acceleration due to gravity on the surfaces of the planets A and B are ga and gb respectively, then give relationship between ga and gb.​

Answer 1

For the given question the correct answer is:

Two planets A and B of same mass and same radius are shown in the figure. p1 and p2 are densities of the materials in the planets and (p1>p2) .If the acceleration due to gravity on the surfaces of the planets A and B are ga and gb respectively

given:

g = GM/R²

M = gR²/G

Let D represent density.

DV = gR²/G

According to the given condition,

g1R1²/G = g2R2²/G

g1R1² = g2R2²

g1 = g2R2²/R1²

therefore the answer is  g1 = g2R2²/R1²

Answer 2

Answer:

ga=gb

Explanation:

since mass and radii are equal

Gm/r² of the planets are the same even if densities are not equal

therefore their acc due to gravity are equal