Question

The insulated spheres of radii R, and R, having charges l, and Q, 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 Q R2 = Q R rodi20

JEE/Engineering Exams

Physics

Solution

128

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( Rightarrow ) Two isolated metallic spheres of radii ( R_{1}, R_{2} ) having charges ( Q_{1}, Q_{2} ) respectively are brought in contact with each other. ( Rightarrow ) Charges will flow across the point of contact from where they are connected until their potential at their surfaces became same. Energy is decreased cause system changes to get stability. ( Rightarrow ) Potential at their surfaces are same: ( V_{1}=V_{2} ) ( Rightarrow frac{K bar{Q}_{1}}{R_{1}}=frac{K Q_{2}}{R_{2}} ) ( =>Q_{1} R_{2}=Q_{2} R_{1} )