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General
Easy

Question

In the figure, the potentiometer wire AB of length L and resistance 9r is joined to the cell D of emf e and internal resistance r. The cell C's emf is fraction numerator epsilon over denominator 2 end fraction and is internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is

  1. fraction numerator 4 L over denominator 9 end fraction    
  2. fraction numerator 5 L over denominator 9 end fraction    
  3. fraction numerator 7 L over denominator 18 end fraction    
  4. fraction numerator 11 L over denominator 18 end fraction    

The correct answer is: fraction numerator 5 L over denominator 9 end fraction

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