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

Correct answer · Option 4

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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