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

If Electric field intensity of a uniform plane electromagnetic wave is given as $$E = - 301.6\sin (kz - \omega t){\widehat a_x} + 452.4\sin (kz - \omega t){\widehat a_y}{V \over m}$$. Then magnetic intensity 'H' of this wave in Am$$-$$1 will be :

[Given : Speed of light in vacuum $$c = 3 \times {10^8}$$ ms$$-$$1, Permeability of vacuum $${\mu _0} = 4\pi \times {10^{ - 7}}$$ NA$$-$$2]

A
$$+ 0.8\sin (kz - \omega t){\widehat a_y} + 0.8\sin (kz - \omega t){\widehat a_x}$$
B
$$+ 1.0 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_y} + 1.5 \times {10^{ - 6}}(kz - \omega t){\widehat a_x}$$
C
$$- 0.8\sin (kz - \omega t){\widehat a_y} - 1.2\sin (kz - \omega t){\widehat a_x}$$
D
$$- 1.0 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_y} - 1.5 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_x}$$
2
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size $${\lambda \over {100}}$$, where $$\lambda$$ is the wavelength of the wave in free space. The phenomenon, which happens there will be :

A
Reflection
B
Refraction
C
Diffraction
D
Scattering
3
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

The electromagnetic waves travel in a medium at a speed of 2.0 $$\times$$ 108 m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be :

A
2.25
B
4.25
C
6.25
D
8.25
4
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The electric field in an electromagnetic wave is given by E = 56.5 sin $$\omega$$(t $$-$$ x/c) NC$$-$$1. Find the intensity of the wave if it is propagating along x-axis in the free space.

(Given : $$\varepsilon$$0 = 8.85 $$\times$$ 10$$-$$12C2N$$-$$1m$$-$$2)

A
5.65 Wm$$-$$2
B
4.24 Wm$$-$$2
C
1.9 $$\times$$ 10$$-$$7 Wm$$-$$2
D
56.5 Wm$$-$$2
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