$A$ capacitor is a perfect insulator for

$A$ capacitor $C = 100 \, \mu F$ is connected to three resistors,each of resistance $1 \, k\Omega$,and a battery of $emf$ $9 \, V$. The switch $S$ has been closed for a long time to charge the capacitor. When switch $S$ is opened,the capacitor discharges with a time constant of ...... $ms$.

In the circuit shown in the figure,if the switch $S$ is closed at $t = 0$,then the capacitor charges with a time constant:

The charge across the capacitor in two different $RC$ circuits $1$ and $2$ are plotted as shown in the figure. Identify the correct statement$(s)$ related to the $R_1, R_2, C_1$ and $C_2$ of the two $RC$ circuits.

Given $R_1 = 1\,\Omega$,$C_1 = 2\,\mu F$ and $R_2 = 2\,\Omega$,$C_2 = 4\,\mu F$. The time constants (in $\mu s$) for the circuits $I, II, III$ are respectively:

During the charging of a capacitor,the variation of the potential $V$ of the capacitor with time $t$ is shown as: