When a current of $4 \, A$ is passed through a cell for $2 \, minutes$,the mass deposited at the cathode is $m \, g$. If a current of $6 \, A$ is passed through the same cell for $40 \, seconds$,what mass will be deposited at the cathode?

In the circuit shown,the galvanometer $G$ of resistance $60 \, \Omega$ is shunted by a resistance $r = 0.02 \, \Omega$. The current through $R$ is nearly $1 \, A$. The value of resistance $R$ (in $\Omega$) is nearly:

$A$ voltameter has a resistance of $2\,\Omega$. It is connected in series with a $10\,V$ battery and a $3\,\Omega$ resistor. The mass deposited at the cathode in a certain time is $1\,g$. Now,the voltameter and the $3\,\Omega$ resistor are connected in parallel with the battery. The increase in the mass of the metal deposited in the same time will be $...\,g$.

The equivalent resistance between $A$ and $B$ is ............ $\Omega$.

The maximum power dissipated in an external resistance $R$,when connected to a cell of emf $\varepsilon$ and internal resistance $r$,will be . . . . . . .

In steady state, the potential difference across the capacitor is $10\, V$. Each resistance is of $3\, \Omega$. The cell is ideal. The $emf$ of the cell is ............. $V$.