A series `LCR` circuit containing a resistance of `120 Omega` has angular resonance frequency `4 xx 10^(5) "rads"^(-1)`. At resonance the voltages across resistance and inductance are `60 V` and `40 V` respectively.
(a) The value of `L` and `C` are `0.2` mH, `1/32 muF`
(b) If angular frequency is changed to `8xx10^(5) "rad"//s`, the current lags the voltage by `45^(@)`
(c) If angular frequency is charged to `6xx10^(5) "rad"//s`, the current lags the voltage by `45^(@)`

Options

A. (a),(c ) are correct
B. (a),(b) are correct
C. (a),(b) (c ) are correct
D. (a),(b),(c ) are wrong

Answer

B

Explanation

`i = (V)/(R ), V_(L)` and `iomega_(0) L`
`V_(c ) = (i)/(omega_(0)C)` and `Tan 45^(@) = ((omega L + (1)/(omega C)))/(R )`