Question 16

Given below are two statements : One is labelled as Assertion A and the other is labelled 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 depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.

Solution

A: Both solid and hollow spheres of same radius have same capacitance (C=4πε₀R), so same charge at same potential. A is FALSE. R: Capacitance depends on radius — TRUE. The correct answer is Option 1: A false, R true.

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