A pure inductor L, a capacitor C and a resistance R are connected across a battery of emf E and internal resistance r as shown in figure. Switch S_w is closed at t = 0, select the correct alternative(s).

At t = 0, charge on C is zero, so p.d. across C is zero, p.d. across R is also zero. Hence there is no current in R. At $t\to \infty$, current through L is maximum and constant, so
p.d. across L is zero, therefore p.d. across R is zero. Hence no current in R.