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Escape velocity on a planet from its mass and radius, or density and radius

This type of question, asked 8 times: 29 Jun 2022, 1 Feb 2023, 12 Apr 2023, 13 Apr 2023, 30 Jan 2024, 31 Jan 2024, 28 Jan 2025, 22 Jan 2026 S1. All 8 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    14
    The escape velocity of a body on a planet ' AA ' is 12kms−112kms^{- 1}. The escape velocity of the body on another planet ' BB ', whose density is four times and radius is half of the planet ' AA ', is:

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  2. Question 2

    1 Feb 2023

    4
    If earth has a mass nine times and radius twice to that of a planet P. Then ve3x ms−1\frac{v_{e}}{3}\sqrt{x}{\text{ }ms}^{- 1} will be the minimum velocity required by a rocket to pull out of gravitational force of PP, where vev_{e} is escape velocity on earth. The value of xx is

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  3. Question 3

    12 Apr 2023

    19
    The ratio of escape velocity of a planet to the escape velocity of earth will be: Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth.

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  4. Question 4

    13 Apr 2023

    7
    A planet having mass 9 Me and radius 4Re4R_{e}, where MeMe and ReRe are mass and radius of earth respectively, has escape velocity in km/skm/s given by: (Given escape velocity on earth
     Ve=11.2×103 m/s)\left. \ V_{e}= 11.2 \times10^{3}\text{ }m/s \right)

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  5. Question 5

    30 Jan 2024

    102
    Escape velocity of a body from earth is 11.2 km/s11.2\text{ }km/s. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the planet is:

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  6. Question 6

    31 Jan 2024

    106
    The mass of the moon is 1/1441/144 times the mass of a planet and its diameter 1/161/16 times the diameter of a planet. If the escape velocity on the planet is vv, the escape velocity on the moon will be:

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  7. Question 7

    28 Jan 2025

    86
    Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/skm/s, the escape velocity in km/skm/s from the planet will be :

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  8. Question 8

    22 Jan 2026 S1

    5
    The escape velocity from a spherical planet A is 10 km/skm/s. The escape velocity from another planet B whose density and radius are 10%10\% of those of planet A, is ____\_\_\_\_ m/sm/s.

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