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

Here $$[A]_0$$ is the initial concentration of 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 :