An inductor of inductance 2 mH is connected across a charged capacitor of capacitance `5 mu F` and the L-C circuit is set oscillating at its natural frequency. What is the natural angular frequency of its oscillations?

Options

A. `2 xx 10^(3) rad//s`
B. `10^(4) rad//s`
C. `2 xx 10^(4) rad//s`
D. `0.5 xx 10^(5) rad//s`

Answer

B

Explanation

`L = 2 xx 10^(-3) H and C = 5 xx 10^(-6) F`
The natural frequency of oscillation is
`f = 1/(2pisqrt(LC))`
`:. omega = 2 pi f = 1/(sqrt(LC)) = 1/(sqrt(2 xx 10^(-3) xx 5 xx 10^(-6)))`
`=10^(4) rad//s`.