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Physics · GRAVITATION

हिन्दी

As one moves along a straight path from the centre of the Earth (treated as a uniform solid sphere) out to infinity, the acceleration due to gravity:

  1. A
    Decreases as \( 1/r^2 \) from the centre out to infinity monotonically.
  2. B
    Decreases linearly from the centre to the surface and then remains constant.
  3. C
    Remains constant from the centre to the surface and then falls to zero abruptly.
  4. D
    Increases linearly up to the Earth's surface and then decreases inversely with the square of the distance.
View Answer & Solution

Correct answer · Option D

Increases linearly up to the Earth's surface and then decreases inversely with the square of the distance.

Explanation

Inside the Earth, \( g(r) = \frac{G M_E}{R_E^3} r \propto r \) (linear increase to maximum at surface), and outside, \( g(r) = \frac{G M_E}{r^2} \propto \frac{1}{r^2} \).
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