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Question
Physics
In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by hat k and 2 hat i -2 hat j , respectively. What is the unit vector along direction of propagation of the wave.
Q. In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by
k
^
and
2
i
^
−
2
j
^
,
respectively. What is the unit vector along direction of propagation of the wave.
6549
180
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JEE Main 2020
Electromagnetic Waves
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A
2
1
(
i
^
+
j
^
)
68%
B
5
1
(
i
^
+
2
j
^
)
12%
C
5
1
(
2
i
^
+
j
^
)
11%
D
2
1
(
j
^
+
k
^
)
9%
Solution:
E
^
=
k
^
B
=
2
i
^
−
2
j
^
⇒
B
^
=
∣
B
∣
B
=
2
2
2
i
^
−
2
j
^
⇒
B
^
=
2
1
(
i
^
−
j
^
)
Direction of wave propagation
=
C
^
=
E
^
×
B
^
C
^
=
k
^
×
[
2
1
(
i
^
−
j
^
)
]
C
^
=
2
1
(
k
^
×
i
^
−
k
^
×
j
^
)
C
^
=
2
1
(
i
^
+
j
^
)