A

Step 1: The decay constant \( \lambda \) is given by \( \lambda = \frac{1}{\alpha} \).
Step 2: The half-life \( T_{1/2} \) is related to the decay constant by the formula:
\( T_{1/2} = \frac{\ln(2)}{\lambda} = \frac{\ln(2) \cdot \alpha}{1} = \alpha \ln(2) \).
Step 3: The mean life \( \tau \) is given by the relation:
\( \tau = \frac{1}{\lambda} = \alpha \).
Therefore, the half-life will be \( \alpha \ln(2) \) and the mean life will be \( \alpha \).