Question:

The planets with radii R1R_1 and R2R_2 have densities ρ1ρ_1 and ρ2ρ_2. Their atmospheric pressures are p1p_1 and p2p_2 respectively. Therefore, the ratio of masses of their atmosphere, neglecting variation of gg within the limits of atmosphere is:

Updated On: Jun 21, 2024
  • ρ1R2p1ρ2R1p2\frac {ρ_1R_2p_1}{ρ_2R_1p_2}
  • p1R2ρ2p2R1ρ1\frac {p_1R_2ρ_2}{p_2R_1ρ_1}
  • p1R1ρ1p2R2ρ2\frac {p_1R_1ρ_1}{p_2R_2ρ_2}
  • p1R1ρ2p2R2ρ1\frac {p_1R_1ρ_2}{p_2R_2ρ_1}
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The Correct Option is D

Solution and Explanation

The correct option is (D): p1R1ρ2p2R2ρ1\frac {p_1R_1ρ_2}{p_2R_2ρ_1}.
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