In the circuit shown in the adjoining figure,the current between $B$ and $D$ is zero. The unknown resistance $X$ is ................ $\Omega$.

$AB$ is a wire of uniform resistance. The galvanometer $G$ shows no current when the length $AC = 20\,cm$ and $CB = 80\,cm$. The resistance $R$ is equal to .............. $\Omega $

In the given circuit diagram,a wire is joining points $B$ and $D$. The current in this wire is ............. $A$.

Two resistances $R_1 = X \Omega$ and $R_2 = 1 \Omega$ are connected to a wire $AB$ of uniform resistivity,as shown in the figure. The radius of the wire varies linearly along its axis from $0.2 \text{ mm}$ at $A$ to $1 \text{ mm}$ at $B$. $A$ galvanometer $(G)$ connected to the center of the wire,$50 \text{ cm}$ from each end along its axis,shows zero deflection when $A$ and $B$ are connected to a battery. The value of $X$ is:

The Wheatstone bridge is in a balanced condition in the given figure, then $X = (in $Omega$)?$

The electric current $i$ in the circuit shown is (in $\text{ A}$)