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Physics · GRAVITATION

हिन्दी

Assuming the Earth to be a homogeneous sphere of uniform density \( \rho \) and radius \( R_E \), the gravitational acceleration \( g(r) \) at a distance \( r \) inside the Earth (\( r < R_E \)) is proportional to:

  1. \( \frac{1}{r^2} \)
  2. \( \frac{1}{r} \)
  3. \( r^2 \)
  4. \( r \)

Correct answer · Option 4

\( r \)

Explanation

For r < R_E, g(r) = (G M_E / R_E^3) r, meaning the acceleration due to gravity is directly proportional to the radial distance r from the centre.
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