Q 12-07-007NEETNEET 2023Top questionMedium
In a series $LCR$ circuit, the inductance $L$ is $10$ mH, capacitance $C$ is $1\ \mu$F and resistance $R$ is $100\ \Omega$. The frequency at which resonance occurs is :
Answer: (D) $1.59$ kHz
Concept. Resonance: $\omega_0 = \dfrac{1}{\sqrt{LC}}$, $f_0 = \dfrac{\omega_0}{2\pi}$.
Step 1. Angular frequency.
$$\omega_0 = \frac{1}{\sqrt{10^{-2} \times 10^{-6}}} = 10^4\ \text{rad/s}$$
Step 2. Frequency. $f_0 = \dfrac{10^4}{6.28} \approx 1.59$ kHz.
Answer. $1.59$ kHz (Option D).
Solution by Sreeraj P, M.Sc Physics