A series LR circuit is connected to an ac source of frequency \[\omega \] and the inductive reactance is equal to 2R. A capacitance of capacitive reactance equal to R is added in series with L and R. The ratio of the new power factor to the

• A. \[\sqrt{\frac{2}{3}}\]
• B. \[\sqrt{\frac{2}{5}}\]
• C. \[\sqrt{\frac{3}{2}}\]
• D. \[\sqrt{\frac{5}{2}}\]