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Question 30766
JEE Physics · Hard

Gravitation: JEE — Gravitational Field of Ring MCQ

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

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JEE — Gravitational Field of RingHardQuestion 30766

Question

A uniform ring (mass M, radius a) has gravitational field along its axis at distance x from centre:
  1. A
    GMx/(a²+x²)^(3/2)
    Correct
  2. B
    GM/(a²+x²)
  3. C
    GMx/(a²+x²)
  4. D
    GM/(a+x)²

Correct answer

GMx/(a²+x²)^(3/2)

Explanation

By integration, the field along the axis of a ring: g = GMx/(a²+x²)^(3/2). It is zero at centre (x=0) and maximises at x = a/√2.

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