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Gravitational potential inside or at the centre of a shell or solid sphere

This type of question, asked 3 times: 2021 Paper 18, 2021 Paper 21, 11 Apr 2023. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 18

    4
    Inside a uniform spherical shell: (A) the gravitational field is zero (B) the gravitational potential is zero (C) the gravitational field is same everywhere (D) the gravitation potential is same everywhere (E) all of the above Choose the most appropriate answer from the options given below:

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  2. Question 2

    2021 Paper 21

    11
    A mass of 50 kg50\text{ }kg is placed at the centre of a uniform spherical shell of mass 100 kg100\text{ }kg and radius 50 m50\text{ }m. If the gravitational potential at a point, 25 m25\text{ }m from the centre is V kg/mV\ kg/m. The value of VV is:

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  3. Question 3

    11 Apr 2023

    97
    If VV is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be: -

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