Finding Wavelength of Light (nm) Using Frequency (Hz)

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The point of this problem is to be able to use the c=λν to find the wavelength of light. This problem could also be structured to find the frequency of the light using just the wavelength.

1. The equation we’re working with has two values already entered in it. The speed of light (3.00*10^8 m/s) is a constant, and the frequency we’re given is 8.43*10^14 Hz.

2. Plug in your values, but leave lamba (λ) as an unknown variable.

3. The wavelength (λ) equals out to be 5.5587*10^-7 meters. This is the wavelength of the light in meters.

4. Wavelengths of light are usually measured or presented in nanometers (nm), so we need to convert. There are 10^9 nanometers in every meter. By using dimensional analysis, we find that the wavelength of the light is 355.87 nm. This is our final answer.

This answer makes sense since light wavelengths usually range from ~400-700 nm. It’s a little on the lower side, but that’s okay.

Questions? Feedback? Drop a comment!

Thanks everyone!


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