Question

what is the frequency of light whose wavelength is 6.33 x 10^{-7} m?
4.74 x 10^{-4} hz
4.74 x 10^{14} hz
4.74 x 10^{-2} hz
4.74 x 10^{16} hz

Explanation:

Step1: Recall the formula

The formula relating the speed of light \(c\), frequency \(f\), and wavelength \(\lambda\) is \(c = f\lambda\). The speed of light \(c = 3\times10^{8}\text{ m/s}\).

Step2: Solve for frequency \(f\)

Rearrange the formula to \(f=\frac{c}{\lambda}\). Substitute \(c = 3\times 10^{8}\text{ m/s}\) and \(\lambda=6.33\times 10^{-7}\text{ m}\) into the formula:

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Answer:

\(4.74\times 10^{14}\text{ Hz}\) (the second option)