In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k̂ and 2î – 2ĵ, respectively. What is the unit vector along direction of propagation of the wave.
In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k̂ and 2î – 2ĵ, respectively. What is the unit vector along direction of propagation of the wave.
Option 1 -
(1/√2)(î + ĵ)
Option 2 -
(1/√5)(î + 2ĵ)
Option 3 -
(1/√5)(2î + ĵ)
Option 4 -
(1/√2)(ĵ + k̂)
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1 Answer
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Correct Option - 1
Detailed Solution:Propagation direction v? = E? × B? .
v? = k? × (2i-2j) = 2 (k×i) - 2 (k×j) = 2j + 2i.
Unit vector is (i+j)/√2.
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