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 $1 \mathrm{~A}$ 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: $\mathrm{e}^{-1}=0.36$ ]
($A$) The value of the resistance $R$ is $3 \Omega$.
($B$) For $t$
($C$) At $t=t_0+7.2 \mu \mathrm{s}$, the current in the capacitor is $0.6 \mathrm{~A}$.
($D$) For $t \rightarrow \infty$, the charge on the capacitor is $12 \mu C$.
