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Two cells, having the same e.m.f. are connected in series through an external resistance \( R \). Cells have internal resistances \( r_{1} \) and \( r_{2}\left(r_{1}>r_{2}\right) \) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of \( R \) is
(a) \( r_{1}+r_{2} \)
(b) \( r_{1}-r_{2} \)
(c) \( \frac{r_{1}+r_{2}}{2} \)
(d) \( \frac{r_{1}-r_{2}}{2} \)
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