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g on a planet from its mass, radius or density

This type of question, asked 4 times: 1 Feb 2023, 6 Apr 2023, 11 Apr 2023, 13 Apr 2023. All 4 questions below, oldest first.

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  1. Question 1

    1 Feb 2023

    109
    The escape velocities of two planets AA and BB are in the ratio 1:21:2. If the ratio of their radii respectively is 1:31:3, then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of planet BB will be:

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  2. Question 2

    6 Apr 2023

    11
    A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing WW on earth will weigh on that planet:

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  3. Question 3

    11 Apr 2023

    3
    The radii of two planets ' AA ' and ' BB ' are ' RR ' and ' 4R4R ' and their densities are ρ\rho and ρ/3\rho/3 respectively. The ratio of acceleration due to gravity at their surfaces (gA:gB)\left( g_{A}:g_{B} \right) will be :

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  4. Question 4

    13 Apr 2023

    102
    Two planets AA and BB of radii RR and 1.5R1.5R have densities ρ\rho and ρ/2\rho/2 respectively. The ratio of acceleration due to gravity at the surface of BB to AA is:

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