A series LR circuit is connected to an AC source of frequency ω 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 old one is 

1
\(\sqrt {\frac{2}{5}}\)
2
\(\sqrt {\frac{2}{3}}\)
3
\(\sqrt {\frac{3}{2}}\)
4
\(\sqrt {\frac{5}{2}}\)

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