Identify the correct statement(s) among the following:(A) An electric…

The correct answer is Option (4) → (C) and (D) only

The capacitive reactance is

    \( \displaystyle X_C = \frac{1}{\omega C} \)

For DC \( \omega = 0 \), so \( X_C \) is infinite and, once charged, no current flows; for AC \( X_C \) is finite. A capacitor therefore blocks DC and passes AC.

(A) An electric bulb connected with a capacitor in series with electric DC source, glows with full brightness. — Incorrect. The capacitor blocks DC, so the bulb does not glow.

(B) An electric bulb connected with capacitor in series with an AC source, does not glow. — Incorrect. The capacitor passes AC, so a current flows through the bulb.

(C) An electric bulb connected with capacitor in series with an electric DC source, does not glow. — Correct. No steady current flows through the capacitor.

(D) An electric bulb connected with capacitor in series with an AC source, glows well. — Correct. The capacitor has a finite reactance for AC, so the current lights the bulb.

Statements (C) and (D) are correct, which is Option (4).

NCERT (2026-27):
AC Voltage Applied to a Capacitor – “… When a capacitor is connected to a voltage source in a dc circuit, current will flow for the short time required to charge the capacitor. … When the capacitor is fully charged, the current in the circuit falls to zero. When the capacitor is connected to an ac source, as in Fig. 7.7, it limits or regulates the current, but does not completely prevent the flow of charge.”