Question

Electromagnetic radiation having a $15.0 \textrm{ }\mu\textrm{m}$ wavelength is classified as infrared radiation. What is its frequency?

Final Answer

$2.00 \times 10^{13} \textrm{ Hz}$

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Video Transcript

This is College Physics Answers with Shaun Dychko. The wave equation says that the speed of light equals frequency times wavelength and we can solve for <i>f</i> by dividing both sides by <i>Lambda</i>. And so we take the speed of light and divide it by the wavelength of this infrared wavelength. And so that's 3 times 10 to the 8 meters per second divided by 15 micrometers, which is times 10 to the minus 6 meters giving a frequency of 2.00 times 10 to the 13 Hertz.