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Question

Question: The insulated spheres of radii \(R_{1}\) and \(R_{2}\) having charges \(Q_{1}\)and \(Q_{2}\) respect...

The insulated spheres of radii R1R_{1} and R2R_{2} having charges Q1Q_{1}and Q2Q_{2} respectively are connected to each other. There is

A

No change in the energy of the system

B

An increase in the energy of the system

C

Always a decrease in the energy of the system

D

A decrease in the energy of the system unless Q1R2=Q2R1Q_{1}R_{2} = Q_{2}R_{1}

Answer

A decrease in the energy of the system unless Q1R2=Q2R1Q_{1}R_{2} = Q_{2}R_{1}

Explanation

Solution

When Q1R1Q2R2;\frac{Q_{1}}{R_{1}} \neq \frac{Q_{2}}{R_{2}}; current will flow in connecting wire so that energy decreases in the form of heat through the connecting wire.