In the figure, the potentiometer wire $AB$ of length $L$ and resistance $9r$ is joined to the cell $D$ of $emf$ $\varepsilon $ and internal resistance $r$. The cell $C's$ $emf$ is $\frac{\varepsilon }{2}$and its internal resistance is $2r$. The galvanometer $G$ will show no deflection when the length $AJ$ is
  • A$\frac{{4L}}{9}$
  • B$\frac{{5L}}{9}$
  • C$\frac{{7L}}{18}$
  • D$\frac{{11L}}{18}$
Medium
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