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CUET · PHYSICS · PYQ PAPER 2025

A capacitor has a reactance of 100 \( \Omega \) at 50 Hz. Its reactance at 125 Hz would be

  1. A 50 \( \Omega \)
  2. B 30 \( \Omega \)
  3. C 40 \( \Omega \)
  4. D 125 \( \Omega \)
Verified Solution

Answer & Solution

Correct Answer

(C) 40 \( \Omega \)

Step-by-step Solution

Detailed explanation

\( X_{C2} = X_{C1} \frac{f_1}{f_2} \) \( X_{C2} = 100 \, \Omega \times \frac{50 \, \text{Hz}}{125 \, \text{Hz}} \) \( X_{C2} = 40 \, \Omega \)