In a circuit shown in the figure, the capacitor $$C$$ is initially uncharged and the key $$K$$ is open. In this condition, a current of 1 A flows through the 1 $$\Omega$$ resistor. The key is closed at time $$t = t_0$$. Which of the following statement(s) is(are) correct?

[Given: $$e^{-1} = 0.36$$]

A

The value of the resistance $$R$$ is 3$$\Omega$$.

B

For $$t < t_0$$, the value of current $$I_1$$ is 2A.

C

At $$t = t_0 + 7.2$$ $$\mu$$s, the current in the capacitor is 0.6 A.

D

For $$t \to \infty$$, the charge on the capacitor is 12 $$\mu C$$.