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Question

A metal ball of radius R is placed concentrically inside a hollow metal sphere of inner radius 2R and outer radius 3R. The ball is given a charge +2Q and the hollow sphere a total charge – Q. The electrostatic potential energy of this system is

  1. fraction numerator 7 Q to the power of 2 end exponent over denominator 24 pi epsilon subscript 0 end subscript R end fraction    
  2. fraction numerator 5 Q to the power of 2 end exponent over denominator 16 pi epsilon subscript 0 end subscript R end fraction    
  3. fraction numerator 5 Q to the power of 2 end exponent over denominator 8 pi epsilon subscript 0 end subscript R end fraction    
  4. None    

The correct answer is: fraction numerator 7 Q to the power of 2 end exponent over denominator 24 pi epsilon subscript 0 end subscript R end fraction

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