1
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

In an electromagnetic wave, at an instant and at particular position, the electric field is along the negative $$z$$-axis and magnetic field is along the positive $$x$$-axis. Then the direction of propagation of electromagnetic wave is:

A
at $$45^{\circ}$$ angle from positive y-axis
B
positive $$y$$-axis
C
negative $$\mathrm{y}$$-axis
D
positive z-axis
2
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :

A
$$\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{d l}=0$$
B
$$\oint \vec{B} \cdot \overrightarrow{d l}=\mu_{0} I$$
C
$$\oint \vec{E} \cdot \overrightarrow{d l}=-\frac{\partial \phi_{B}}{\partial t}$$
D
$$\oint \vec{D} \cdot \overrightarrow{d A}=Q$$
3
JEE Main 2023 (Online) 12th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$

Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in Radar technology.

Reason R : Infrared EM waves are more energetic than microwaves, (used in Radar)

In the light of given statements, choose the correct answer from the options given below.

A
Both $$\mathrm{A}$$ and $$\mathrm{R}$$ are true but $$\mathrm{R}$$ is NOT the correct explanation of $$\mathrm{A}$$
B
$$\mathrm{A}$$ is true but $$\mathrm{R}$$ is false
C
Both $$\mathrm{A}$$ and $$\mathrm{R}$$ are true and $$\mathrm{r}$$ is the correct explanation of $$\mathrm{A}$$
D
$$\mathrm{A}$$ is false but $$\mathrm{R}$$ is true
4
JEE Main 2023 (Online) 11th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A plane electromagnetic wave of frequency $$20 ~\mathrm{MHz}$$ propagates in free space along $$\mathrm{x}$$-direction. At a particular space and time, $$\overrightarrow{\mathrm{E}}=6.6 \hat{j} \mathrm{~V} / \mathrm{m}$$. What is $$\overrightarrow{\mathrm{B}}$$ at this point?

A
$$-2.2 \times 10^{-8} \hat{i} T$$
B
$$2.2 \times 10^{-8} \hat{i} T$$
C
$$2.2 \times 10^{-8} \hat{k} T$$
D
$$-2.2 \times 10^{-8} \hat{k} T$$
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