JEE Physics · Medium

Gravitation: Shell Theorem MCQ

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

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Shell TheoremMediumQuestion 30713

Question

A uniform spherical shell exerts gravitational force on a mass OUTSIDE the shell as if:
  1. A
    The shell has no mass
  2. B
    All shell mass is concentrated at the shell's surface
  3. C
    All shell mass is concentrated at its centre
    Correct
  4. D
    The force depends on thickness of shell

Correct answer

All shell mass is concentrated at its centre

Explanation

Shell theorem: a uniform spherical shell acts like a point mass at its centre for any external point. For an internal point, the shell exerts zero net gravitational force.