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 z₁ and z₂ respectively the charge which flows through the silver voltameter is

$fraction numerator straight q over denominator 1 plus begin display style straight z subscript 1 over straight z subscript 2 end style end fraction$
$fraction numerator straight q over denominator 1 plus begin display style straight z subscript 2 over straight z subscript 1 end style end fraction$
$straight q straight z subscript 1 over straight z subscript 2$
$straight q straight z subscript 2 over straight z subscript 1$

Solution

fraction numerator straight q over denominator 1 plus begin display style straight z subscript 2 over straight z subscript 1 end style end fraction

straight q subscript 1 straight Z subscript 1 space equals space straight q subscript 2 straight Z subscript 2 straight q space equals space straight q subscript 1 space plus straight q subscript 2 therefore space straight q subscript 2 space equals space fraction numerator straight q over denominator 1 plus begin display style straight Z subscript 2 over straight Z subscript 1 end style end fraction

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