Q. A $LC$ circuit is in the state of resonance. If $C = 0.1\mu F$ and $L = 0.25\ henry$, neglecting ohmic resistance of circuit what is the frequency of oscillations
A) $1007\ Hz$
B) $100\ Hz$
C) $109\ Hz$
D) $500\ Hz$
Explanation
(a) $v_{0} = \frac{1}{2\pi\sqrt{(0.25) \times (0.1 \times 10^{- 6})}} = \frac{10^{4}}{9.93} = 1007\ Hz$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.