AIIMS 2019 Physics LC Circuits MCQ Question

The resonant frequency $f_0$ of an LC circuit is given by the formula $f_0 = \frac{1}{2\pi\sqrt{LC}}$, where $L$ is the inductance and $C$ is the capacitance. Substituting $L = 0.5 \, \text{mH} = 0.5 \times 10^{-3} \, \text{H}$ and $C = 20 \, \mu\text{F} = 20 \times 10^{-6} \, \text{F}$, we find $f_0 \approx 1592 \, \text{Hz}$, which corresponds to option C. Options A (15.92 Hz) and B (159.2 Hz) are incorrect as they represent frequencies that are orders of magnitude lower than the calculated value, while option D (15912 Hz) is too high, indicating a miscalculation in the formula.