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

• A

  $2.02$
• Correct answer
  B

  2.54
• C

  $50.54$
• D

  $200.54$

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