In the given figure,when the galvanometer shows no deflection,the current (in $A$) flowing through the $5\,\Omega$ resistance will be:

In the adjoining circuit,the battery $E_1$ has an $e.m.f.$ of $12 \, V$ and zero internal resistance,while the battery $E$ has an $e.m.f.$ of $2 \, V$. If the galvanometer $G$ reads zero,then the value of the resistance $X$ in $\Omega$ is

The galvanometer has no deflection and the length of wire $AB$ is $350 \, cm$. Then $AC$ equals to ............... $cm$.

If the potential difference between points $B$ and $D$ is zero in the given circuit, the value of $x$ is $1/n \text{ } \Omega$. The value $n$ is

$ABCD$ is a square where each side is a uniform wire of resistance $1\,\Omega$. $A$ point $E$ lies on $CD$ such that if a uniform wire of resistance $1\,\Omega$ is connected across $AE$ and a constant potential difference is applied across $A$ and $C$,then $B$ and $E$ are equipotential.

What is the equivalent resistance between $A$ and $D$ in the given circuit? (All resistors are $10 \,\Omega$)