JEE Main 2023 (Online) 11th April Evening Shift | Electromagnetic Waves Question 27 | Physics

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?

$$-2.2 \times 10^{-8} \hat{i} T$$

$$2.2 \times 10^{-8} \hat{i} T$$

$$2.2 \times 10^{-8} \hat{k} T$$

$$-2.2 \times 10^{-8} \hat{k} T$$

JEE Main 2023 (Online) 11th April Morning Shift

MCQ (Single Correct Answer)

-1

The electric field in an electromagnetic wave is given as

$$\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\frac{x}{\mathrm{c}}\right) \overrightarrow{\mathrm{j}} \mathrm{NC}^{-1}$$

where $$\omega$$ and $$c$$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $$5 \times 10^{-4} \mathrm{~m}^{3}$$ will be

(Given $$\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$$ )

$$17 \cdot 7 \times 10^{-13} \mathrm{~J}$$

$$28 \cdot 5 \times 10^{-13} \mathrm{~J}$$

$$8 \cdot 85 \times 10^{-13} \mathrm{~J}$$

$$88 \cdot 5 \times 10^{-13} \mathrm{~J}$$

JEE Main 2023 (Online) 10th April Evening Shift

MCQ (Single Correct Answer)

-1

The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is $$6.0 \times 10^{-7} \mathrm{~T}$$. The maximum value of electric field in the electromagnetic wave is

$$6.0 \times 10^{-7} ~\mathrm{Vm}^{-1}$$

$$5 \times 10^{14} ~\mathrm{Vm}^{-1}$$

$$180 ~\mathrm{Vm}^{-1}$$

$$2 \times 10^{15} ~\mathrm{Vm}^{-1}$$

JEE Main 2023 (Online) 10th April Morning Shift

MCQ (Single Correct Answer)

-1

The energy of an electromagnetic wave contained in a small volume oscillates with

double the frequency of the wave

the frequency of the wave

half the frequency of the wave

zero frequency