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.
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.
- (A)A is false but R is true✓ Correct
- (B)Both A and R are true and R is the correct explanation of A
- (C)A is true but R is false
- (D)Both A and R are true but R is not the correct explanation of A
Answer: (A)
Solution
For a charged conducting sphere, solid or hollow, the potential is , set by its charge and outer radius only. Two spheres of the same radius raised to the same potential therefore carry the same charge, so the claim that the solid sphere holds less charge is wrong. The capacitance of such a sphere is , which does depend on the radius, so the reason is a true statement. The assertion is false while the reason is true.
JEE Main · 2023 · 01 Feb 2023 · Shift 2 · Single correct option