Question

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

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

Answer 1

Answer: (A)

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