The energy of an electromagnetic wave contained in a small volume oscillates with [2023]

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Solution

Q.
The energy of an electromagnetic wave contained in a small volume oscillates with [2023]

1 zero frequency

2 half the frequency of the wave

3 double the frequency of the wave

4 the frequency of the wave

Ans.
(3)

$E = E_{0} \sin (ω t - k x)$

$Energy density (\frac{d u}{d v}) = ε_{0} E_{0}^{2} \sin^{2} (ω t - k x)$

$= \frac{ε_{0} E_{0}^{2}}{2} [1 - \cos (2 ω t - 2 k x)]$

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