When \( 100 \mathrm{~V} \mathrm{DC} \) is applied across a solenoid...

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When \( 100 \mathrm{~V} \mathrm{DC} \) is applied across a solenoid, a steady current of \( 1 \mathrm{~A} \) flows in it. When \( 100 \mathrm{~V} \mathrm{AC} \) is applied across the same solenoid, the current drops to \( 0.5 \mathrm{~A} \). If the frequency of the \( A C \) source is \( 150 / \sqrt{3} \pi \mathrm{Hz} \), the impedance and inductance of the solenoid are :
(A) \( 200 \Omega \) and \( 1 / 3 \mathrm{H} \)
(B) \( 100 \Omega \) and \( 1 / 16 \mathrm{H} \)
(C) \( 200 \Omega \) and \( 1.0 \mathrm{H} \)
(D) \( 1100 \Omega \) and \( 3 / 117 \mathrm{H} \)
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