Question

A resonant ac circuit contains a capacitor of capacitance ${10}^{-6}F$ and an inductor of ${10}^{-4}H$. The frequency of electrical oscillations will be

• A. ${10}^{5}Hz$
• B. $10Hz$
• C. $\frac{{10}^5}{2\pi }Hz$
• D. $\frac{10}{2\pi }Hz$

Answer 1

The correct option is C $\frac{{10}^5}{2\pi }Hz$

$v=\frac{1}{2\pi \sqrt{LC}}=\frac{1}{2\pi \sqrt{{10}^{-6}\times {10}^{-4}}}=\frac{{10}^5}{2\pi }Hz$.