Question

Match List-I has four graphs showing variation of opposition to flow of ac versus frequency with circuit characteristic in List-II.

• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
• (A) - (I), (B) - (II), (C) - (IV), (D) - (III)
• (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Answer 1

The Correct Option is D

The problem requires matching graphs of AC opposition versus frequency (List-I) with their corresponding circuit characteristics (List-II). The correct matching is (A) - (IV), (B) - (III), (C) - (II), (D) - (I). Analysis of the characteristics confirms this:

1. (A) - (IV): An inductor's impedance increases linearly with frequency. This matches characteristic (IV), representing inductive behavior, where inductive reactance \(X_L\) is directly proportional to frequency \(f\) (\(X_L = 2\pi fL\)).
2. (B) - (III): A graph showing impedance decreasing with frequency corresponds to a capacitor, matching option (III). In an RC circuit, capacitive reactance \(X_C\) is inversely proportional to frequency \(f\) (\(X_C = 1/(2\pi fC)\)).
3. (C) - (II): Constant opposition independent of frequency signifies a resistor, matching option (II).
4. (D) - (I): A graph with peak impedance at resonance represents an RLC circuit, matching option (I). Impedance is minimum at resonance and increases as frequency deviates due to LC components.