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_1` and `Z_2` respectively the charge which flows through the silver voltameter is

Options

A. `q(Z_1)/(Z_2)`
B. `q(Z_2)/(Z_1)`
C. `(q)/(1+(Z_1)/(Z_2))`
D. `(q)/(1+(Z_2)/(Z_1))`

Answer

D

Explanation

`m = Zq implies Z prop 1//q`
`(Z_1)/(Z_2) = (q_2)/(q_1)`
`q = q_(1)+q_(2) implies q/(q_2)= (q_1)/(q_2)+1`
`q_(2)=q//(1+q_(1)//q_(2))`
`q_(2)=q//(1+Z_(1)//Z_(2))`.