QJEEM22Phbb97: JEE Main 2022 Physics - Class 12 JEEM22Phbb97 Solution: An inductor of 0.5 mH, a capacitor of 200 F and a resistor of 2 …

Current will be in phase with emf when

$\omega L = {1 \over {\omega C}}$

$\Rightarrow \omega = {1 \over {\sqrt {LC} }} = {1 \over {\sqrt {5 \times {{10}^{ - 4}} \times 2 \times {{10}^{ - 4}}} }}$

$\Rightarrow \omega = {{{{10}^4}} \over {\sqrt {10} }}$ rad/s

$\Rightarrow f = {1 \over {2\pi }} \times {{{{10}^4}} \over {\sqrt {10} }}$ Hz

$\Rightarrow$ f $\simeq$ 500 Hz