Meter Bridge

In the shown arrangement of the experiment of the metre bridge if $\mathrm{AC}$ corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire $\mathrm{AB}$ is doubled?

In the given figure, the galvanometer shows no deflection. What is the value of $R$? 

The length of the potentiometer wire is $100 \mathrm{cm}$ and resistance is $1 \mathrm{\Omega }/\mathrm{cm}$.

In a practical Wheatstone bridge circuit as shown, when one more resistance of $100 \mathrm{\Omega }$ is connected in parallel with an unknown resistance $x$, then, the ratio $\frac{l_1}{l_2}$ becomes $2$. If $l_1$ is the balance length and $AB$ is a uniform wire, then the value of $x$ must be 

In a metre bridge experiment, null point is obtained at $20 \mathrm{cm}$ from one end of the wire when resistance $X$ is balanced against another resistance $Y$. If $X<Y$, then there will be the new position of the null point from the same end, if one decides to balance a resistance of $4X$ against $Y$

A wire connected in the left gap of a meter bridge balance a $10\mathrm{ }\mathrm{\Omega }$ resistance in the right gap at a point, which divides the bridge wire in ratio $3:2$. If the length of the wire is $1\mathrm{ }\mathrm{m}$, the length of one ohm wire is

A resistance of $2$ $\Omega$ is connected across one gap of a meter bridge ( the length of the wire is $100 cm$ ) and an unknown resistance, greater than $2 \Omega$, is connected across the other gap. When the resistances are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is

A meter bridge is set-up as shown in figure, to determine an unknown resistance X using a standard 10 $\mathrm{\Omega }$resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of X is