In an experiment of meter bridge, a null point is obtained at the centre of the bridge wire. When a resistance of $10\, ohm$ is connected in one gap, the value of resistance in other gap is ............. $\Omega$
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In a meter bridge, the balancing length from the left end (standard resistance of $1 \,ohm$ is in the right gap) is found to be $20\, cm$. The value of the unknown resistance is ............... $\Omega$
A letter $'A'$ is constructed of a uniform wire with resistance $1.0\,\Omega $ per $cm$ , The sides of the letter are $20\, cm$ and the cross piece in the middle is $10\, cm$ long. The apex angle is $60$ . The resistance between the ends of the legs is close to ................ $\Omega$
A uniform wire of length $l$ and radius $r$ has a resistance of $100\, \Omega $. It is recast into a wire of radius $\frac{r}{2}$. The resistance of new wire will be ............... $\Omega$
In the electric network shown, when no current flows through the $4 \Omega$ resistor in the arm EB, the potential difference between the points $A$ and $D$ will be $.............\,V$
Two resistances ${R_1}$ and ${R_2}$ are made of different materials. The temperature coefficient of the material of ${R_1}$ is $\alpha $ and of the material of ${R_2}$ is $ - \beta $. The resistance of the series combination of ${R_1}$ and ${R_2}$ will not change with temperature, if ${R_1}/{R_2}$ equals
Two heaters $A$ and $B$ have power rating of $1 \mathrm{~kW}$ and $2 \mathrm{~kW}$, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is: