1
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

A
$$\frac{R}{X_{L} X_{C}}$$
B
$$R X_{L} X_{C}$$
C
$$\frac{R}{\sqrt{X_{L} X_{C}}}$$
D
$$R \frac{X_{L}}{X_{C}}$$
2
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
In the given circuit, rms value of current $\left(I_{\mathrm{rms}}\right)$ through the resistor $R$ is:

A
$2 \sqrt{2} \mathrm{~A}$
B
$2 \mathrm{~A}$
C
$\frac{1}{2} \mathrm{~A}$
D
$20 \mathrm{~A}$
3
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

In a series LR circuit with $$\mathrm{X_L=R}$$, power factor P1. If a capacitor of capacitance C with $$\mathrm{X_C=X_L}$$ is added to the circuit the power factor becomes P2. The ratio of P1 to P2 will be :

A
1 : $$\sqrt2$$
B
1 : 3
C
1 : 2
D
1 : 1
4
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

For the given figures, choose the correct options :

A
The rms current in circuit (b) can be larger than that in (a)
B
The rms current in figure (a) is always equal to that in figure (b)
C
The rms current in circuit (b) can never be larger than that in (a)
D
At resonance, current in (b) is less than that in (a)
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