Physics-
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Question

Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge q flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are z subscript 1 end subscript and z subscript 2 end subscript respectively the charge which flows through the silver voltameter is

  1. q fraction numerator z subscript 1 end subscript over denominator z subscript 2 end subscript end fraction    
  2. q fraction numerator z subscript 2 end subscript over denominator z subscript 1 end subscript end fraction    
  3. fraction numerator q over denominator 1 plus fraction numerator z subscript 1 end subscript over denominator z subscript 2 end subscript end fraction end fraction    
  4. fraction numerator q over denominator 1 plus fraction numerator z subscript 2 end subscript over denominator z subscript 1 end subscript end fraction end fraction    

The correct answer is: fraction numerator q over denominator 1 plus fraction numerator z subscript 2 end subscript over denominator z subscript 1 end subscript end fraction end fraction


    m equals z q Þ z proportional to fraction numerator 1 over denominator q end fraction Þ fraction numerator z subscript 1 end subscript over denominator z subscript 2 end subscript end fraction equals fraction numerator q subscript 2 end subscript over denominator q subscript 1 end subscript end fraction ......(i)
    also q equals q subscript 1 end subscript plus q subscript 2 end subscript Þ fraction numerator q over denominator q subscript 2 end subscript end fraction equals fraction numerator q subscript 1 end subscript over denominator q subscript 2 end subscript end fraction plus 1
    Þ q subscript 2 end subscript equals fraction numerator q over denominator 1 plus fraction numerator q subscript 1 end subscript over denominator q subscript 2 end subscript end fraction end fraction ......(ii)
    From equation (i) and (ii) q subscript 2 end subscript equals fraction numerator q over denominator 1 plus fraction numerator z subscript 2 end subscript over denominator z subscript 1 end subscript end fraction end fraction

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