1
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm$$-$$1. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :

A

$${E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 2\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

B

$${E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

C

$${E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

D

$${E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat k\,\,T$$

2
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

A radar sends an electromagnetic signal of electric field (E0) = 2.25 V/m and magnetic field (B0) = 1.5 $$\times$$ 10$$-$$8 T which strikes a target on line of sight at a distance of 3 km in a medium. After that, a part of signal (echo) reflects back towards the radar with same velocity and by same path. If the signal was transmitted at time t = 0 from radar, then after how much time echo will reach to the radar?

A
2.0 $$\times$$ 10$$-$$5 s
B
4.0 $$\times$$ 10$$-$$5 s
C
1.0 $$\times$$ 10$$-$$5 s
D
8.0 $$\times$$ 10$$-$$5 s
3
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

Given below are two statements :

Statement I : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves.

Statement II : In a material medium, the EM wave travels with speed $$v = {1 \over {\sqrt {{\mu _0}{ \in _0}} }}$$. In the light of the above statements, choose the correct answer from the options given below.

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is correct but Statement II is false
D
Statement I is incorrect but Statement II is true
4
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

Match List-I with List-II :

List - I List - II
(a) Ultraviolet rays (i) Study crystal structure
(b) Microwaves (ii) Greenhouse effect
(c) Infrared rays (iii) Sterilizing surgical instrument

Choose the correct answer from the options given below :

A
(a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
B
(a)-(iii), (b)-(i), (c)-(ii), (d)-(iv)
C
(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
D
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
EXAM MAP
Medical
NEET