1
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1

A capacitor of capacitance $$150.0 ~\mu \mathrm{F}$$ is connected to an alternating source of emf given by $$\mathrm{E}=36 \sin (120 \pi \mathrm{t}) \mathrm{V}$$. The maximum value of current in the circuit is approximately equal to :

A
$$\frac{1}{\sqrt{2}} A$$
B
$$2 \sqrt{2} A$$
C
$$\sqrt{2} A$$
D
$$2 A$$
2
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

Match List - I with List - II :

List I List II
A. AC generator I. Presence of both L and C
B. Transformer II. Electromagnetic Induction
C. Resonance phenomenon to occur III. Quality factor
D. Sharpness of resonance IV. Mutual Induction

Choose the correct answer from the options given below :

A
A-II, B-I, C-III, D-IV
B
A-IV, B-III, C-I, D-II
C
A-II, B-IV, C-I, D-III
D
A-IV, B-II, C-I, D-III
3
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
An alternating voltage source $\mathrm{V}=260 \sin (628 \mathrm{t}$ ) is connected across a pure inductor of $5 \mathrm{mH}$ Inductive reactance in the circuit is :
A
$6.28 \Omega$
B
$0.318 \Omega$
C
$0.5 \Omega$
D
$3.14 \Omega$
4
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
$$R \frac{X_{L}}{X_{C}}$$
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