In a potentiometer experiment, the galvanometer shows no deflection when a cell is connected across $60\, cm$ of the potentiometer wire. If the cell is shunted by a resistance of $6\,\Omega $, the balance is obtained across $50\, cm$ of the wire. The internal resistance of the cell is .............. $\Omega $
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Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance $2000 \,\Omega$ is used to measure the potential difference across $500 \,\Omega$ resister, the reading of the voltmeter will be ............... $V$
The length of a given cylindrical wire is increased by $100 \%$. Due to the consequent decrease in diameter the change in the resistance of the wire will be .................. $\%$
Two conductors have the same resistances at $0^{\circ} \mathrm{C}$ but their temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients for their series and parallel combinations are :
Eels are able to generate current with biological cells called electroplaques. The electroplaques in an eel are arranged in $100$ rows, each row stretching horizontally along the body of the fish containing $5000$ electroplaques. The arrangement is suggestively shown below. Each electroplaques has an emf of $0.15\, V$ and internal resistance of $0.25 \,\Omega$ The water surrounding the eel completes a circuit between the head and its tail. If the water surrounding it has a resistance of $500 \,\Omega$, the current an eel can produce in water is about .............. $A$
Three resistors having resistances $\mathrm{r}_{1}, \mathrm{r}_{2}$ and $\mathrm{r}_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :