1
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

A plane electromagnetic wave of frequency $$35 \mathrm{~MHz}$$ travels in free space along the $$X$$-direction. At a particular point (in space and time) $$\vec{E}=9.6 \hat{j} \mathrm{~V} / \mathrm{m}$$. The value of magnetic field at this point is :

A
$$9.6 \hat{j} T$$
B
$$3.2 \times 10^{-8} \hat{i} T$$
C
$$9.6 \times 10^{-8} \hat{k} T$$
D
$$3.2 \times 10^{-8} \hat{k} T$$
2
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity $$6 \times 10^8 \mathrm{~W} / \mathrm{m}^2$$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space $$=3 \times 10^8 \mathrm{~m} / \mathrm{s}$$ ) :

A
$$6 \mathrm{~Nm}^{-2}$$
B
$$36 \mathrm{~Nm}^{-2}$$
C
$$18 \mathrm{~Nm}^{-2}$$
D
$$2 \mathrm{~Nm}^{-2}$$
3
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1

A plane electromagnetic wave propagating in $$\mathrm{x}$$-direction is described by

$$E_y=\left(200 \mathrm{Vm}^{-1}\right) \sin \left[1.5 \times 10^7 t-0.05 x\right] \text {; }$$

The intensity of the wave is :

(Use $$\epsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$$)

A
$$35.4 \mathrm{~Wm}^{-2}$$
B
$$53.1 \mathrm{~Wm}^{-2}$$
C
$$26.6 \mathrm{~Wm}^{-2}$$
D
$$106.2 \mathrm{~Wm}^{-2}$$
4
JEE Main 2023 (Online) 15th April Morning Shift
+4
-1
Match List I with List II of Electromagnetic waves with corresponding wavelength range :

List I List II
(A) Microwave (I) $400 \mathrm{~nm}$ to $1 \mathrm{~nm}$
(B) Ultraviolet (II) $1 \mathrm{~nm}$ to $10^{-3} \mathrm{~nm}$
(C) X-Ray (III) $1 \mathrm{~mm}$ to $700 \mathrm{~nm}$
(D) Infra-red (IV) $0.1 \mathrm{~m}$ to $1 \mathrm{~mm}$

Choose the correct answer from the options given below:
A
(A)-(I), (B)-(IV), (C)-(II), (D)-(III)
B
(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
C
(A)-(IV), (B)-(I), (C)-(III), (D) -(II)
D
(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
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