In an infinite network of resistance, each resistance of value $R=2 \mathrm{\Omega }$, is arranged as shown in the figure. Find the equivalent resistance between $A$ and $B$ (in $\mathrm{\Omega }$).

The figure shows an experimental plot discharging of a capacitor in an $RC$ circuit. The time constant $\mathrm{\tau }$ of this circuit lies between:

In an $LCR$ circuit, as shown below, both switches are open initially. Now the switch $S_1$ is closed and $S_2$ kept open. ($q$ is the charge on the capacitor and $\mathrm{\tau }=RC$ is the capacitive time constant). Which of the following statement is correct?

In the circuit shown, the current in the $1\mathrm{\Omega }$ resistor is: