1. ## electromagnetic waves

An electromagnetic wave has a wavelength of 4.62E-7 m and a speed of 2.54E+8 m/s in a particular material. What is the frequency (in Hz) of this wave in the material?
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Find the wavelength (in m) of this wave in vacuum.

2. First, we need a formula, it turns out that the relationship is this:

$\displaystyle f = \frac{v}{\lambda}$

Where $\displaystyle v$ is the velocity of the wave and $\displaystyle \lambda$ is the wavelength.

So we just plug and chug:

$\displaystyle f = \frac{2.54 x 10^8}{4.62 x 10^{-7}}$

If you work it all out, you should get:

$\displaystyle f = 5.50 \ x \ 10^{14} Hz$