Electromagnetic Induction & AC · JEE Advanced previous year questions

2023 1 question

1. Q332023 · 4 Jun 2023 · Paper 1

   A series LCR circuit is connected to a $45\sin (\omega t)\mathrm{Volt}$ source. The resonant angular frequency of the circuit is $10^5\mathrm{rad}{\mathrm{s}}^{-1}$ and current amplitude at resonance is $I_0$. When the angular frequency of the source is $\omega =8\times 10^4\mathrm{rad}{\mathrm{s}}^{-1}$, the current amplitude in the circuit is $0.05I_0$. If $L=50\mathrm{mH}$, match each entry in List-I with an appropriate value from List-II and choose the correct option. $$\begin{array}{ll}\text{List-I}& \text{List-II}\\ \text{(P) }{I}_0\text{ in mA}& \text{(1) }44.4\\ \text{(Q) The quality factor of the circuit}& \text{(2) }18\\ \text{(R) The bandwidth of the circuit in }\mathrm{rad}{\mathrm{s}}^{-1}& \text{(3) }400\\ \text{(S) The peak power dissipated at resonance in Watt}& \text{(4) }2250\\ & \text{(5) }500\end{array}$$

   1. A.$P\to 2,Q\to 3,R\to 5,S\to 1$
   2. B.$P\to 3,Q\to 1,R\to 4,S\to 2$
   3. C.$P\to 4,Q\to 5,R\to 3,S\to 1$
   4. D.$P\to 4,Q\to 2,R\to 1,S\to 5$
   Show answer

   Answer: B