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JEE Main 2023 (1 Feb, Shift 2) · Capacitance of a Conductor

Capacitance of a Conductor question from JEE Main 2023 (1 Feb, Shift 2)

Q9JEE Main 2023 · 1 FEB · SHIFT 2Easy

Capacitance of a Conductor

Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.

Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.

Reason R: Capacitance of metallic spheres depends on the radii of spheres

In light of the above statements, choose the correct answer from the options given below.

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Answer: (c)

  1. Charge on a conductor stays on its outer surface, so a solid and a hollow sphere of the same radius have the same C=4πε0RC = 4\pi\varepsilon_0 R.
  2. At the same potential they hold the same charge Q=CVQ = CV, so A is false.
  3. R is true: C∝RC \propto R.
  4. So the answer is (c) A is false but R is true.
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