A $100 \mathrm{V}$, AC source of frequency $500 \mathrm{Hz}$ is connected to an LCR circuit with $\mathrm{L}=8.1 \mathrm{mH}$, $\mathrm{C}\mathrm{ }=\mathrm{ }12.5\mathrm{ }\mathrm{\mu }\mathrm{F},\mathrm{ }\mathrm{R}\mathrm{ }=\mathrm{ }\mathrm{10 }\mathrm{\Omega }$ all connected in series as shown in the figure. What is the quality factor of the circuit?

• A

  $2.02$
• Correct answer
  B

  $2.54$
• C

  $50.54$
• D

  $200.54$

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