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CUET · PHYSICS · PYQ PAPER 2025

Which of the following statements are correct?
(A) In an ac circuit containing only resistance, power consumption is \( I^2 R \).
(B) In an LCR circuit, there is resonance at zero phase difference between \( X_C \) and \( X_L \) and the power consumption is \( I(\omega X_C + \omega X_L)^{1/2} \).
(C) In an LCR circuit, at resonance, impedance is minimum.
(D) In an LCR circuit, there is resonance at zero phase difference between \( X_C \) and \( X_L \) and the power consumption is zero.
Choose the correct answer from the options given below:

  1. A (A) and (C) only
  2. B (A) and (B) only
  3. C (A) and (D) only
  4. D (C) and (D) only
Verified Solution

Answer & Solution

Correct Answer

(A) (A) and (C) only

Step-by-step Solution

Detailed explanation

Statement (A): For a purely resistive AC circuit, power consumption is \\( P = I^2 R \\). Correct. Statement (C): In an LCR circuit, at resonance \\( X_L = X_C \\), making impedance \\( Z = \sqrt{R^2 + (X_L - X_C)^2} = R \\), which is its minimum value. Correct. (A) and (C) only.