Given below are two statements:
\( R = 8.314\ \mathrm{J\,K^{-1}\,mol^{-1}} \) and \( 1\ \mathrm{cal} = 4.2\ \mathrm{J} \)
Statement-I: When \( Ea = 12.6\ \mathrm{kcal/\,mol} \), the room temperature rate constant is doubled by a \( 10^\circ \mathrm{C} \) increase in temperature (\( 298\ \mathrm{K} \) to \( 308\ \mathrm{K} \)).
Statement-II: For a first order reactions \( \mathrm{A \rightarrow B} \),

Here \( [A]_0 \) is the initial concentration of \( \mathrm{A} \) and \( t_{1/2} \) is half-life of reaction.
In the light of the above statements, choose the correct answer from the options given below: