The temperature coefficient of a reaction is 2.5. If its rate constant at $ T_1K$ is $ 2.5 \times 10^{-3}s^{-1}$, the rate constant at $T_2K$ in $s^{-1}$ is : ( $ T_2 > T_1)$

Question

$\begin {array} {1 1} (1)\;1.0 \times 10^{-3} & \quad (2)\;6.25 \times 10^{-3} \\ (3)\;1.0 \times 10^{-2} & \quad (4)\;6.25 \times 10^{-2} \end {array}$