Network Theory Sinusoidal Steady State Analysis

An RL circuit has a power factor of \(\dfrac{1}{\sqrt 2}\). If the frequency is doubled, what is the new power factor?

1
\(\dfrac{1}{\sqrt 5}\)
2
\(\dfrac{1}{\sqrt 2}\)
3
\(\dfrac{1}{2}\)
4
\(\dfrac{1}{\sqrt 8}\)

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