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PhysicsJEE Main 5 Apr 2026, Shift 1·Q19·MCQ·Moderate

Alternating Current · LCR and power

An a.c. source of angular frequency ω\omega is connected across a resistor RR and a capacitor CC in series. The current is observed as II. Now the frequency of the source is changed to ω/4\omega/4, (keeping the voltage unchanged) the current is found to be I/3I/3. The ratio of resistance to reactance at frequency ω\omega is
  1. (1)67\sqrt{\dfrac{6}{7}}
  2. (2)35\sqrt{\dfrac{3}{5}}
  3. (3)78\sqrt{\dfrac{7}{8}}
  4. (4)34\sqrt{\dfrac{3}{4}}

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