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⚛️ Physics  ·  Gravitation  ·  NEET & JEE

The escape velocity from a planet depends on:

Answer: the planet mass and radius.

  • A the mass of the projectile
  • B the launch direction
  • C the projectile shape
  • D the planet mass and radius

Correct answer: D. the planet mass and radius

Explanation: Escape velocity v<sub>e</sub> = √(2GM/R) depends only on the planet mass M and radius R, not on the projectile.

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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