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When \( 100 \mathrm{~V} \) dc is applied across a solenoid, a current
\( \mathrm{P} \) of \( 1.0 \mathrm{~A} \) flows in it. When \( 100 \mathrm{~V} \) ac is applied across

W the same coil, the current drops to \( 0.5 \mathrm{~A} \). If the frequency of the ac source is \( 50 \mathrm{~Hz} \), the impedance and inductance of the solenoid are
(1) \( 200 \Omega \) and \( 0.55 \mathrm{H} \)
(2) \( 100 \Omega \) and \( 0.86 \mathrm{H} \)
(3) \( 200 \Omega \) and \( 1.0 \mathrm{H} \)
(4) \( 100 \Omega \) and \( 0.93 \mathrm{H} \)
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