In an $LCR$ series circuit,if the angular frequency $\omega$ is gradually increased,then match the following columns:
Column-$I$Column-$II$
$(A)$ Capacitive reactance$(i)$ Will continuously increase
$(B)$ Inductive reactance(ii) Will remain constant
$(C)$ Resistance(iii) Will first decrease and then increase
$(D)$ Total impedance(iv) Will continuously decrease

  • A
    $(A)-(iv), (B)-(i), (C)-(ii), (D)-(iii)$
  • B
    $(A)-(i), (B)-(iii), (C)-(iv), (D)-(ii)$
  • C
    $(A)-(ii), (B)-(iii), (C)-(i), (D)-(iv)$
  • D
    $(A)-(i), (B)-(iv), (C)-(ii), (D)-(iii)$

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The power factor of the given $LCR$ circuit is $1/\sqrt{2}$. Find the capacitance $C$ of the circuit in $\mu F$.

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