Target Exam

CUET

Subject

Physics

Chapter

Alternating Current

Question:

A light bulb and an air core inductor are connected to an AC source. The glow of the light bulb increases if

(A) the frequency of an AC source increases
(B) a copper rod is inserted inside the inductor
(C) the frequency of an AC source decreases
(D) an iron rod is inserted inside the inductor
(E) a capacitor of suitable capacitance is connected in series with an inductor such that $X_L = X_C$

Choose the correct answer from the options given below:

Options:

(A), (B) and (E) only

(B), (C) and (D) only

(C), (D) and (E) only

(B), (C) and (E) only

Correct Answer:

(B), (C) and (E) only

Explanation:

The correct answer is Option (4) → (B), (C) and (E) only

Consider a light bulb in series with an air-core inductor connected to an AC source. The glow of the bulb depends on the current in the circuit.

The inductive reactance is $X_L = 2 \pi f L$.

(A) Increasing frequency increases $X_L$, reducing current → bulb glow decreases.

(B) Inserting a copper rod slightly reduces the effective reactance due to eddy currents, allowing more current → bulb glow slightly increases.

(C) Decreasing frequency decreases $X_L$, increasing current → bulb glow increases.

(D) Inserting an iron rod increases $L$, $X_L$ increases → current decreases → bulb glow decreases.

(E) Connecting a capacitor such that $X_L = X_C$ → series resonance → net reactance zero → current maximum → bulb glow maximum.