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Escape velocity on a planet with a different radius and density from the earth

The same question, asked 3 times: 4 May 2023 S2*, 9 May 2023 S2*, 10 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S2

    47
    The escape velocity from earth surface is 11 km/s. The escape velocity from a planet having twice the radius and same mean density as earth is

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  2. Question 2

    9 May 2023 S2

    46
    The radius of the planet is double that of the earth, but their average densities are same. VPV_P and VEV_E are the escape velocities of planet and earth respectively. If VPVE=x\frac{V_P}{V_E} = x, the value of 'x' is

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  3. Question 3

    10 May 2023 S1

    8
    The radius and mean density of the planet are four times as that of the earth. The ratio of escape velocity at the earth to the escape velocity at a planet is

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