1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$C$$ such that $$X_{L}=X_{C}$$ is put in series, the power factor becomes $$P_{2}$$. The ratio $$\frac{P_{1}}{P_{2}}$$ is:

A
$$\frac{1}{2}$$
B
$$\frac{1}{\sqrt{2}}$$
C
$$\frac{\sqrt{3}}{\sqrt{2}}$$
D
2 : 1
2
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on :

A
Electromagnetic induction
B
Resonance in ac circuits
C
Mutual induction in ac circuits
D
Interference of electromagnetic waves
3
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

To increase the resonant frequency in series LCR circuit,

A
source frequency should be increased.
B
another resistance should be added in series with the first resistance.
C
another capacitor should be added in series with the first capacitor.
D
the source frequency should be decreased.
4
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new quality factor (Q2) will be :

(f1 = original resonant frequency, Q1 = original quality factor)

A
$${f_2} = {{{f_1}} \over 2}$$ and $${Q_2} = {Q_1}$$
B
$${f_2} = {f_1}$$ and $${Q_2} = {{{Q_1}} \over {{Q_2}}}$$
C
$${f_2} = 2{f_1}$$ and $${Q_2} = {Q_1}$$
D
$${f_2} = {f_1}$$ and $${Q_2} = 2{Q_1}$$
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