Two ideal batteries of emf $V_1$ and $V_2$ and three resistances $R_1$, $R_2$ and $R_3$ are connected as shown in the figure. The current in resistance $R_2$ would be zero if

In the circuit shown below, the key is pressed at time $t=0.$ Which of the following statement(s) is (are) true?

At time $t=0,$ a battery of $10 \mathrm{V}$ is connected across points $A$ and $B$ in the given circuit. If the capacitors have no charge initially, at what time (in $\mathrm{seconds}$) does the voltage across them becomes $4 \mathrm{V}$? [Take $\ln 5=1.6, \ln 3=1.1$]

In the following circuit, the current through the resistor $R\left(=2\mathrm{\Omega }\right)$ Just above Battery is $I$ Amperes. The value of $I$ is: