$A$ resistor of resistance $R$, an inductor of inductive reactance $2R$, and a capacitor of capacitive reactance $X_C$ are connected in series to an $A.C.$ source. If the series $LCR$ circuit is in resonance, then the power factor of the circuit and the value $X_C$ are respectively:

  • A
    $0.5$ and $4R$
  • B
    $1$ and $2R$
  • C
    $0.5$ and $2R$
  • D
    $1$ and $4R$

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