If resistance  $\mathrm{R}=100 \mathrm{\Omega }$, inductance $\mathrm{L}=\frac{2}{\mathrm{\pi }} \mathrm{H}$  and capacitance $\mathrm{C}=\frac{8}{\mathrm{\pi }} \mathrm{\mu F}$ are connected in series with an AC source of $200 \mathrm{volt}$ and frequency $\mathrm{f}$ as shown in the circuit. If the readings of the hot wire voltmeters ${\mathrm{V}}_1$ and ${\mathrm{V}}_2$ are same then which among the following statements is wrong?

        

• A

  $\mathrm{f}=125 \mathrm{Hz}$
• Correct answer
  B

  $\mathrm{f}=250 \mathrm{\pi } \mathrm{Hz}$
• C

  current through $\mathrm{R}$ is $2\mathrm{A}$
• D

  ${\mathrm{V}}_1= {\mathrm{V}}_2= 1000 \mathrm{volt}$

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