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(D) In a series $LCR$ circuit,the phase difference $\phi$ is given by $	an \phi = \frac{|X_L - X_C|}{R}$.When $L$ is removed,the circuit becomes an $

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(D) In a series $LCR$ circuit,the phase difference $\phi$ is given by $	an \phi = \frac{|X_L - X_C|}{R}$.When $L$ is removed,the circuit becomes an $RC$ circuit. The phase difference is $	an \phi = \frac{X_C}{R} = 	an(\frac{\pi}{3}) = \sqrt{3}$.When $C$ is removed,the circuit becomes an $RL$ circuit. The phase difference is $	an \phi = \frac{X_L}{R} = 	an(\frac{\pi}{3}) = \sqrt{3}$.Equating the two,we get $\frac{X_C}{R} = \frac{X_L}{R}$,which implies $X_L = X_C$.Since $X_L = X_C$,the circuit is at resonance.At resonance,the impedance $Z = R$.The power factor is $\cos \phi = \frac{R}{Z} = \frac{R}{R} = 1.0$.

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