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Ratio of gravitational field outside and inside a uniform sphere

The same question, asked 3 times: 2 May 2023 S1, 13 May 2026 S2, 14 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    41
    The magnitude of gravitational field at distance r1r_1 and r2r_2 from the centre of a uniform sphere of radius RR and mass MM are F1F_1 and F2F_2 respectively. The ratio F1/F2F_1/F_2 will be (if r1>Rr_1 > R and r2<Rr_2 < R)

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  2. Question 2

    13 May 2026 S2

    109
    The magnitude of gravitational field at distance r1r_1 and r2r_2 from the centre of a uniform sphere of radius RR and mass MM are E1E_1 and E2E_2 respectively. If r1>Rr_1 > R and r2<Rr_2 < R, then the ratio E1/E2E_1/E_2 is

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  3. Question 3

    14 May 2026 S2

    107
    The magnitude of gravitational field at distances r1r_1 and r2r_2 from the centre of a uniform sphere of radius R and mass M are I1I_1 and I2I_2 respectively. Given that r1>Rr_1 > R and r2<Rr_2 < R, the ratio I1I2\dfrac{I_1}{I_2} is

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