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 \(\rightarrow\) B,

Here \([A]_o\) 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:

1. A Both Statement I and Statement II are true
2. B Both Statement I and Statement II are false
3. C Statement I is true but Statement II is false
4. D Statement I is false but Statement II is true