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⚛️ Physics  ·  Gravitation  ·  NEET & JEE

Gravitational potential at a point is -5 x 10<sup>7</sup> J/kg. Work done to bring 1 kg mass from infinity to this point is:

Answer: -5 x 10 7 J.

  • A 5 x 10<sup>7</sup> J
  • B -5 x 10<sup>7</sup> J
  • C Zero
  • D Infinity

Correct answer: B. -5 x 10<sup>7</sup> J

Explanation: Work done = m x (V<sub>final</sub> - V<sub>infinity</sub>) = 1 x (-5 x 10<sup>7</sup> - 0) = -5 x 10<sup>7</sup> J. Negative means energy released.

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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