Physics-
General
Easy

Question

Two identical capacitors 1 and 2 are connected in series to a battery as shown in figure. Capacitor 2 contains a dielectric slab of dielectric constant k as shown. Q1 and Q2 are the charges stored in the capacitors. Now the dielectric slab is removed and the corresponding charges are Q’1 and Q’2. Then

  1. fraction numerator Q subscript 1 end subscript superscript ' end superscript over denominator Q subscript 1 end subscript end fraction equals fraction numerator k plus 1 over denominator k end fractionQ1=k+1k'/>    
  2. fraction numerator Q subscript 2 end subscript superscript ' end superscript over denominator Q subscript 2 end subscript end fraction equals fraction numerator k plus 1 over denominator 2 end fractionQ2=k+12'/>    
  3. fraction numerator Q subscript 2 end subscript superscript ' end superscript over denominator Q subscript 2 end subscript end fraction equals fraction numerator k plus 1 over denominator 2 k end fractionQ2=k+12k'/>    
  4. fraction numerator Q subscript i end subscript superscript ' end superscript over denominator Q subscript 1 end subscript end fraction equals fraction numerator k over denominator 2 end fractionQ1=k2'/>    

The correct answer is: fraction numerator Q subscript 2 end subscript superscript ´ end superscript over denominator Q subscript 2 end subscript end fraction equals fraction numerator k plus 1 over denominator 2 k end fraction

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