Two cells, having the same $e.m.f.$ are connected in series through an external resistance $R.$ Cells have internal resistances $r_1$ and $r_2\,\, (r_1 > r_2)$ respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of $R$ is
  • A$\sqrt {{r_1}{r_2}} $
  • B$\;{r_1} + {r_2}$
  • C$\;{r_1} - {r_2}$
  • D$\frac{{\;{r_1} + {r_2}}}{2}$
AIPMT 2006,JEE MAIN 2022, Medium
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