An a.c. source of voltage \( \mathrm{V} \) and of frequency \( 50 \mathrm{~Hz} \) is connected t....

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An a.c. source of voltage \( \mathrm{V} \) and of frequency \( 50 \mathrm{~Hz} \) is connected to an inductor of \( 2 \mathrm{H} \) and negligible resistance. A current of r.m.s. value I flows in the
\( \mathrm{P} \)
coil. When the frequency of the voltage is changed to \( 400 \mathrm{~Hz} \) keeping the magnitude of \( \mathrm{V} \) the same, the current is now
(1) \( 8 I \) in phase with \( \mathrm{V} \)
(2) \( 4 I \) and leading by 90 from \( \mathrm{V} \)
(3) \( \frac{I}{4} \) and lagging by \( 90^{\circ} \) from \( \mathrm{V} \)
(4) \( \frac{I}{8} \) and lagging by \( 90^{\circ} \) from \( \mathrm{V} \)


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