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 meta - Physics MCQ AIEEE 2026 | ExamTest.live | ExamTest.live

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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:

A $\frac{q z _{1}}{z _{1} + z _{2}}$
B $\frac{q z _{1}}{z _{1} + z _{2}}$
C $q \frac{z _{1}}{z _{2}}$
D $q \frac{z _{2}}{z _{1}}$

Solution & Step-by-step Explanation

Let q_{1} be the charge through the copper voltameter and q_{2} be the charge through the silver voltameter.According to Faraday's First Law: m = z q .Given m_{1} = m_{2} : z_{1} q_{1} = z_{2} q_{2} ⟹ q_{1} = \frac{z _{2} q _{2}}{z _{1}} Total charge q = q_{1} + q_{2} : q = \frac{z _{2} q _{2}}{z _{1}} + q_{2} = q_{2} (\frac{z _{2} + z _{1}}{z _{1}}) q_{2} = \frac{q z _{1}}{z _{1} + z _{2}}

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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:

A

\frac{q z _{1}}{z _{1} + z _{2}}

B

\frac{q z _{1}}{z _{1} + z _{2}}

C

q \frac{z _{1}}{z _{2}}

D

q \frac{z _{2}}{z _{1}}

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