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⚛️ Physics  ·  Gravitation  ·  NEET & JEE

Gravitational field is zero at all interior points of a uniform hollow spherical shell. This is because:

Answer: Forces from all shell mass cancel inside due to symmetry.

  • A The total mass of the shell is negligible compared to the test point
  • B Forces from all shell mass cancel inside due to symmetry
  • C Gravity acts as a repulsive force for any point inside the shell
  • D The mass density at every interior point of the shell is zero

Correct answer: B. Forces from all shell mass cancel inside due to symmetry

Explanation: Inside a uniform spherical shell, gravitational contributions from all parts of the shell cancel by symmetry. This is the shell theorem.

Variation of g with Height and Depthgg_surfaceAbove surface: g ∝ 1/r² (falls off curving down)Below surface: g ∝ r (falls off LINEARLY)Earth's surface (r = R)centre (r=0): g=0g is MAXIMUM exactly at the surface - it decreases in both directions, but by different laws

g is maximum at Earth's surface; going up, it falls off as 1/r² (inverse-square); going down, it falls off linearly with depth (since only the mass enclosed within radius r contributes), reaching zero at the centre.

Concept context

Universal gravitation, orbital mechanics, gravitational potential, and escape velocity.

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