A charged 30 `mu F` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?

Options

A. `1.1 xx 10^3 `rad/s
B. `2.1 xx 10^2 `rad/s
C. `3.1 xx 10^3` rad/s
D. `4.1 xx 10^3` rad/s

Answer

A

Explanation

Here , `C = 30muF = 30 xx 10^(-6)F`
`L = 27mH = 27 xx 10^(-3) H`
`omega = (1)/(sqrt(LC)) = (1)/(sqrt(27 xx 10^(-3) xx 30 xx 10^(-6) ) = (10^4)/(9) = 1.1 xx 10^3 rad//s `