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Three concentric metallic spheres A, B and C have radii a,b and c left parenthesis a less than b less than c right parenthesis and surface charge densities on them are sigma comma negative sigma and s respectively The values of V subscript A end subscript text  and  end text V subscript B end subscript will be

  1. fraction numerator sigma over denominator ϵ subscript 0 end subscript end fraction left parenthesis a minus b plus c right parenthesis comma fraction numerator sigma over denominator ϵ subscript 0 end subscript end fraction open parentheses fraction numerator a to the power of 2 end exponent over denominator b end fraction minus b plus c close parentheses    
  2. left parenthesis a minus b plus c right parenthesis comma fraction numerator a to the power of 2 end exponent over denominator c end fraction    
  3. fraction numerator ϵ subscript 0 end subscript over denominator sigma end fraction left parenthesis a minus b plus c right parenthesis comma fraction numerator ϵ subscript 0 end subscript over denominator sigma end fraction open parentheses fraction numerator a to the power of 2 end exponent over denominator b end fraction minus b plus c close parentheses    
  4. fraction numerator sigma over denominator ϵ subscript 0 end subscript end fraction open parentheses fraction numerator a to the power of 2 end exponent over denominator c end fraction minus fraction numerator b to the power of 2 end exponent over denominator c end fraction plus c close parentheses comma fraction numerator sigma over denominator ϵ subscript 0 end subscript end fraction left parenthesis a minus b plus c right parenthesis    

The correct answer is: fraction numerator ϵ subscript 0 end subscript over denominator sigma end fraction left parenthesis a minus b plus c right parenthesis comma fraction numerator ϵ subscript 0 end subscript over denominator sigma end fraction open parentheses fraction numerator a to the power of 2 end exponent over denominator b end fraction minus b plus c close parentheses

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