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Question: The radius of two metallic spheres \(A\) and \(B\) are \(r_{1}\) and \(r_{2}\) respectively\((r_{1} ...

The radius of two metallic spheres AA and BB are r1r_{1} and r2r_{2} respectively(r1>r2)(r_{1} > r_{2}). They are connected by a thin wire and the system is given a certain charge. The charge will be greater

A

On the surface of the sphere BB

B

On the surface of the sphere AA

C

Equal on both

D

Zero on both

Answer

On the surface of the sphere AA

Explanation

Solution

After connection of wire, potential becomes equal

Q1r1=Q2r2\frac{Q_{1}}{r_{1}} = \frac{Q_{2}}{r_{2}}Q1Q2=r1r2\frac{Q_{1}}{Q_{2}} = \frac{r_{1}}{r_{2}} when (;fn) r1 > r2,

then Q1>Q2Q_{1} > Q_{2}