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The dispersion relation for electromagnetic waves in a certain medium is given by ω2 = ak where a is a constant, ω the frequency and k the magnitude of the wave vector. The velocity of energy propagation in this medium is
  • a)
    2a/ω
  • b)
    a/ω
  • c)
    a/2ω
  • d)
    a/4ω
Correct answer is option 'C'. Can you explain this answer?
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The dispersion relation for electromagnetic waves in a certain medium ...
ω2  = ak
Velocity of energy propagation is 
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The dispersion relation for electromagnetic waves in a certain medium ...
The dispersion relation for electromagnetic waves in a certain medium is given by:

ω^2 = k^2 c^2

where ω is the angular frequency of the wave, k is the wave number, and c is the speed of light in the medium. This equation relates the frequency and wave number of the electromagnetic wave, and describes how they are related in the medium. The dispersion relation determines how the wave propagates and behaves in the medium.
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Community Answer
The dispersion relation for electromagnetic waves in a certain medium ...
W2=ak
2wdw=dka
Dw/dk=a/2w
Vg= a/2w
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The dispersion relation for electromagnetic waves in a certain medium is given byω2 = ak where a is a constant, ω the frequency and k the magnitude of the wave vector. The velocity of energy propagation in this medium isa)2a/ωb)a/ωc)a/2ωd)a/4ωCorrect answer is option 'C'. Can you explain this answer?
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