A series $L-C-R$ circuit containing $5.0 \mathrm{H}$ inductor, $80 \mu \mathrm{F}$ capacitor and $40 \Omega$ resistor is connected to $230 \mathrm{V}$ variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:

• A

  $25 \mathrm{rad} {\mathrm{s}}^{-1} \text{and} 75 \mathrm{rad} {\mathrm{s}}^{-1}$
• B

  $50 \mathrm{rad} {\mathrm{s}}^{-1}\text{ and }25 \mathrm{rad} {\mathrm{s}}^{-1}$
• Correct answer
  C

  $46 \mathrm{rad} {\mathrm{s}}^{-1}\text{ and }54 \mathrm{rad} {\mathrm{s}}^{-1}$
• D

  $42 \mathrm{rad} {\mathrm{s}}^{-1}\text{ and }58 \mathrm{rad} {\mathrm{s}}^{-1}$

Hence, the correct answer is option: 'C'.