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An electromagnetic wave traveling in a medium is given by
$E = E_{0} \sin (ωt - kx)$
The speed of the wave in the medium is given by:

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$v = \frac{k}{ω}$

$v = ωk$

$v = \frac{ω}{k}$

$v = \sqrt{\frac{ω}{k}}$

answer is C.

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Detailed Solution

$ω = 2 πf and k = \frac{2 π}{λ} . Therefore,$

$v = fλ = \frac{2 π f \times λ}{2 π} = \frac{2 π f}{\frac{2 π}{λ}} = \frac{ω}{k}$

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