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⚛️ Physics  ·  Gravitation  ·  NEET & JEE

The acceleration due to gravity of a freely falling body does NOT depend on:

Answer: the mass of the body.

  • A the mass of the body
  • B the radius of the planet
  • C the mass of the planet
  • D the height above the surface

Correct answer: A. the mass of the body

Explanation: Since g = GM/R<sup>2</sup>, it depends on the planet mass, its radius and height, but is independent of the mass of the falling body.

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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