Give 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.

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Both A and R are true and R is the correct explanation of A

A is false but R is true

A is true but R is false

Both A and R are correct but R is not the correct explanation of A

answer is D.

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Detailed Solution

Assertion: $V = \frac{1}{4 {πε}_{0}} \frac{Q}{R}$
Given, V and R are same
i.e Both spheres will have same charge.
So assertion is false
Reason: $C = 4 {πε}_{0} R$ for an isolated sphere
$∴$ capacitance depends on radius
$∴$ Reason is true

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