Observe the following reactions at T(K):
I. \( A \rightarrow \text{products} \)
II. \( 5Br^{-}(aq) + BrO_{3}^{-}(aq) + 6H^{+}(aq) \rightarrow 3Br_{2}(aq) + 3H_{2}O(l) \)
Both the reactions are started at 10.00 am. The rates of these reactions at 10.10 am are same. The value of \( -\frac{\Delta[Br^{-}]}{\Delta t} \) at 10.10 am is \( 2 \times 10^{-4} \text{ mol L}^{-1} \text{Min}^{-1} \). The concentration of A at 10.10 am is \( 10^{-1} \text{ mol L}^{-1} \). What is the first order rate constant (in \( min^{-1} \)) of reaction I?

1. A \( 2 \times 10^{-3} \)
2. B \( 10^{-3} \)
3. C \( 10^{-2} \)
4. D \( 4 \times 10^{-4} \)