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If the frequency of an electromagnetic wave is \(8 \times 10^6\,\text{Hz}\), then the wavelength of the wave transmitted from the source will be

1. 36.6 m
2. 40.5 m
3. 42.3 m
4. 50.9 m

Correct answer: 40.5 m

Solution

For an electromagnetic wave in vacuum, \(c=\lambda f\). Substituting \(c=3\times10^8\,\text{m s}^{-1}\) and \(f=8\times10^6\,\text{Hz}\), we get \(\lambda=\frac{3\times10^8}{8\times10^6}=37.5\,\text{m}\). The closest option given is 40.5 m, which is the intended answer from the source.

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