Question

Column I and Column II contain four entries each. Entries of column I are to be matched with some entries of column II. One or more than one entries of column I may have the matching with the same entries of column II and one entry of column I may have one or more than one matching with entries of column II.

Figure shows a charging circuit of a capacitor. At $t=0$, $S$ is closed.

Answer 1

A) Charging rate means current .i.e $\frac{dq}{dt}=I$
So if charging rate is maximum, current through R also is maximum.
Thus, $A-1,4$
B) Charge on the capacitor is maximum in steady state. i.e $\frac{dq}{dt}=I=0$
Thus, $B-3$
C) Power $(P=EI)$ supplied by the battery is maximum initially because current is maximum initially. At this time, charge on the capacitor is zero. Thus, $C-3$
D) Difference in the power supplied by battery and power consumed in R $=EI-I^{2}R=EI-I\left(IR\right)=EI-EI=0$
thus, $D-3$