$A \,6 \,V$ battery of negligible internal resistance is connected across a uniform wire of length $1\, m$. The positive terminal of another battery of emf $4\,V$ and internal resistance $1\, \Omega$ is joined to the point $A$ as shown in figure. The ammeter shows zero deflection when the jockey touches the wire at the point $C$. The $AC$ is equal to
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$x=\frac{6}{1} v / m \Rightarrow 6 \times l_{A C}=4$

$l_{A C}=\frac{2}{3} m$

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