state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Physics Electromagnetic Oscillations and Alternating Current Alternating Current
An AC source of angular frequency \( \omega \) is fed across a resistor \( r \) and a capacitor \( C \) in series. The current registered is \( I \). If now the frequency of source is changed to \( \frac{\omega}{3} \) (but maintaining the same voltage), the current in the circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency \( \omega \).
1
\( \sqrt{\frac{3}{5}} \)
2
\( \sqrt{\frac{2}{5}} \)
3
\( \sqrt{\frac{1}{5}} \)
4
\( \sqrt{\frac{4}{5}} \)
5
Question Not Attempted