It is known to all of you that the impedance of a circuit is dependent on the frequency of source. In order to study the effect of frequency on the impedance, a student in a lab took 2 impedance boxes `P` and `Q` and connected them in series with an `AC` source of variable frequency. The emf of the source is constant at `10 V` Box `P` contains a capacitance of `1muF` in series with a resistance of `32 Omega`. And the box `Q` has a coil of self-inductance `4.9 mH` and a resistance of `68 Omega`in series. He adjusted the frequency so that the maximum current flows in `P` and `Q`. Based on his experimental set up and the reading by him at various moment, answer the following questions.
The angular frequency foer which he detects maximum current in the circuit is

Options

A. `10^5/7rad//s`
B. `10^4rad//s`
C. `10^5rad//s`
D. `10^4/7rad//s`

Answer

A

Explanation

`omega=1/sqrt(LC)`
`=(1)/(sqrt(4.9xx10^-3xx10^-6))`
`=10^5/7rad//s`.