Impedance in RLC Circuit

Q. For series $L-C-R$, graph between peak current and frequency ($\omega$) shown in the figure below.
The correct order for $R_1,R_{2}and{R}_3$

1. $R_1>R_2>R_3$
2. $R_2>R_1>R_3$
3. $R_3>R_1>R_2$
4. $R_3>R_2>R_1$

Q. At $42$ $Hz,$ an inductor has impedence $36$ times that of impedence of a capacitor. Find resonance frequency of the circuit.

1. 4 Hz
2. 5 Hz
3. 6 Hz
4. 7 Hz

Q. In the shown figure, $X_c=100\Omega$, $X_L=200\Omega$ and $R=100\Omega$. The effective current through the source is

1. $2A$
2. $4A$
3. $2\sqrt{2}A$
4. $\sqrt{0.4}A$

Q. In a series circuit R = 300 $\Omega$ , L = 0.9 H, C = 2.0 $\mu$F and $\omega$ = 1000 rad/sec. The impendence of the circuit is

1. $1300\Omega$
2. $900\Omega$
3. $500\Omega$
4. $400\Omega$

Q. An electric lamp designed for operation on 110 V C is connected to a 220 V AC supply, through a choke coil of inductance 2H, for proper operation. The angular frequency of the AC is $100\sqrt{10}rad/s$ . If a capacitor is to be used in the place of the choke coil, its capacitance must be

1. $1\mu F$
2. $2\mu F$
3. $5\mu F$
4. $10\mu F$

Q. In a series L - C - R circuit, at what frequency does the inductive reactance of a $50\mu$ H inductor equals the reactance of a $200\mu F$ capacitor?

1. 1000 Hz
2. 1200 Hz
3. 1400 Hz
4. 1600 Hz

Q. In the given circuit, peak voltage across the resistor and capacitor are 6V and 8V. At an instant when voltage across capacitor is 4V in magnitude,

1. Voltage across resistance is $-3\sqrt{3}V$
2. Voltage across resistance is $3\sqrt{3}V$
3. Peak source voltage is $5\sqrt{3}$
4. Current in circuit is ahead of source voltage