Step 1: Understanding the Concept:
The current gain in CE configuration is \(\beta = \frac{\Delta I_C}{\Delta I_B}\), and it is linked to \(\alpha\) by \(\beta = \frac{\alpha}{1-\alpha}\).
Step 2: Calculate:
\(\beta = \frac{0.9}{0.1} = 9\).
\[ \Delta I_C = \beta\,\Delta I_B = 9\times0.4 = 3.6\ \text{mA} \]
Final Answer:
The change in collector current is \(3.6\) mA, option (A).
\[ \boxed{3.6\ \text{mA}} \]