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A conducting sphere of radius r is initially charged to Q0 It is connected as shown in the fig. If switch S is closed at t = 0 then charge on the sphere at any time t is

  1. Q subscript 0 end subscript open parentheses 1 minus e to the power of negative fraction numerator t over denominator 2 pi epsilon subscript 0 end subscript r R end fraction end exponent close parentheses    
  2. Q subscript 0 end subscript open parentheses 1 minus e to the power of negative fraction numerator t over denominator 4 pi epsilon subscript 0 end subscript r R end fraction end exponent close parentheses    
  3. Q subscript 0 end subscript open parentheses e to the power of negative fraction numerator t over denominator 4 pi epsilon subscript 0 end subscript r R end fraction end exponent close parentheses    
  4. Q subscript 0 end subscript open parentheses e to the power of negative fraction numerator t over denominator 2 pi epsilon subscript 0 end subscript r R end fraction end exponent close parentheses    

The correct answer is: Q subscript 0 end subscript open parentheses e to the power of negative fraction numerator t over denominator 2 pi epsilon subscript 0 end subscript r R end fraction end exponent close parentheses

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