CUET · PHYSICS · PYQ PAPER 2025
A sinusoidal voltage with peak value 220 V and variable frequency is applied to a series LCR circuit in which \( R = 10 \, \Omega \), \( L = 4 \, \text{mH} \), and \( C = 100 \, \text{mF} \). Consider the following:
(A) Resonant angular frequency \(\left(w_o\right)=50 rad / s\)
(B) Resonant frequency \(\left(v_o\right)=25 / n Hz\)
(C) Resonant frequency \(\left(v_o\right)=50 / n Hz\)
(D) The rms current at resonance is 15.5 A
Choose the correct answer from the options given below:
- A (A) and (C) only
- B (A), (B) and (D) only
- C (A), (C) and (D) only
- D (B) and (D) only
Answer & Solution
Correct Answer
(B) (A), (B) and (D) only
Step-by-step Solution
Detailed explanation
\( \omega_o = \frac{1}{\sqrt{LC}} \) \( \omega_o = \frac{1}{\sqrt{(4 \times 10^{-3} \, \text{H})(0.1 \, \text{F})}} = \frac{1}{\sqrt{4 \times 10^{-4}}} = 50 \, \text{rad/s} \) (A is correct) \( \nu_o = \frac{\omega_o}{2\pi} \)…
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