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An electromagnetic wave traveling through vacuum is described by \(E = E_0 \sin(\omega t - kx)\). Which of the following is independent of wavelength?

1. \(k\)
2. \(\omega\)
3. \(k/\omega\)
4. \(k\omega\)

Correct answer: \(k/\omega\)

Solution

For an electromagnetic wave in vacuum, \(\omega = ck\), so \(k/\omega = 1/c\), which is constant and does not depend on wavelength. The quantities \(k\) and \(\omega\) individually vary with wavelength.

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