A capacitor and a resistor of resistance $100 \sqrt{3} \Omega$ are connected in series to an ac source of voltage $100 \sin (200 t) \mathrm{V}$, where ' $t$ ' is time in second. If the phase difference between the voltage and the current in the circuit is $30^{\circ}$, then the capacitance of the capacitor is

• A

  $30 \mu \mathrm{~F}$
• Correct answer
  B

  $50 \mu \mathrm{~F}$
• C

  $100 \mu \mathrm{~F}$
• D

  $150 \mu \mathrm{~F}$

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