In `R-L-C` series circuit, we have same current at angular frequencies `omega_(1)` and `omega_(2)`. The resonant frequency of circuit is

Options

A. `(omega_(1)^(2))/(omega_(2))`
B. `(omega_(2)^(2))/(omega_(1))`
C. `sqrt(omega_(1) omega_(2))`
D. `omega_(1) + omega_(2)`

Answer

C

Explanation

`omega_(1) L - (1)/(omega_(1) C) = omega_(2) L - (1)/(omega_(2) C)`
Solving `omega_(1) omega_(2) = (1)/(sqrt(LC)) = omega_(0)^(2)`