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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 voltmeters, 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

  • Option 1)

    q\frac{z_{1}}{z_{2}}\; \;

  • Option 2)

    \; q\frac{z_{2}}{z_{1}}\;

  • Option 3)

    \; \frac{q}{1+\frac{z_{1}}{z_{2}}}\; \;

  • Option 4)

    \; \frac{q}{1+\frac{z_{2}}{z_{1}}}

 

Answers (2)

best_answer

As we learnt in

Voltameter -

It is a device used to measure Potential difference and is always put in parallel with circuit element

- wherein

 

The voltameters joined are parallel mass deposited z_{1}q_{1}=z_{2}q_{2}

\frac{q_{1}}{q_{2}} = \frac{z_{2}}{z_{1}}

= \frac{q_{1}+q_{2}}{q_{2}} = \frac{z_{1}+z_{2}}{z_{1}}

\Rightarrow \frac{q}{q_{2}} = \left ( 1+\frac{z_{2}}{z^{1}} \right )

q_{2}=\frac{q}{1+\frac{z_{2}}{z_{1}}} 

 


Option 1)

q\frac{z_{1}}{z_{2}}\; \;

This option is incorrect.

Option 2)

\; q\frac{z_{2}}{z_{1}}\;

This option is incorrect.

Option 3)

\; \frac{q}{1+\frac{z_{1}}{z_{2}}}\; \;

This option is incorrect.

Option 4)

\; \frac{q}{1+\frac{z_{2}}{z_{1}}}

This option is correct.

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prateek

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