Two conducting sphere of radii $R_{1}$ and $R_{2}$ are charged with charges $Q_{1}$ and $Q_{2}$ respectively. On bringing them in contact there is

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a decrease in energy of the system if $Q_{1} R_{2} \neq Q_{2} R_{1}$

always a decrease in energy of the system

an increase in the energy of the system if $Q_{1} R_{2} \neq Q_{2} R_{1}$

no change in the energy of the system

answer is D.

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Detailed Solution

If the potential of the two spheres are same then there is no flow of charge no loss of energy. To have the same potential condition is

$\frac{k Q_{1}}{R_{1}} = \frac{k Q_{2}}{R_{2}}$

in any other cases there is a loss of energy of the system due to flow of charge.

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