JEE Physics · Hard

Gravitation: Gravitational Self Energy MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Gravitational Self EnergyHardQuestion 30756

Question

The gravitational self-energy (energy of assembly) of a uniform solid sphere (mass M, radius R) is:
  1. A
    −3GM²/5R
    Correct
  2. B
    −GM²/R
  3. C
    −GM²/2R
  4. D
    3GM²/5R

Correct answer

−3GM²/5R

Explanation

Gravitational self-energy = −3GM²/5R (negative because energy is released when assembling mass from infinity). This represents the binding energy of the sphere.