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An a.c. source of angular frequency \(\omega\) is connected across a resistor R and a capacitor C in series. The current…

Q1

An a.c. source of angular frequency \(\omega\) is connected across a resistor R and a capacitor C in series. The current is observed as I. Now the frequency of the source is changed to \(\omega /4\), (keeping the voltage unchanged) the current is found to be I/3. The ratio of resistance to reactance at frequency \(\omega\) is

[JEE Main 2026, 5 Apr (Shift 1)]

a

\(\sqrt{\frac{6}{7}}\)

b

\(\sqrt{\frac{3}{5}}\)

c

\(\sqrt{\frac{7}{8}}\)

d

\(\sqrt{\frac{3}{4}}\)

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