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Calculating Frequency and Energy

Violet light has a wavelength of about 410 nm. What is its frequency? Calculate the energy of one photon of violet light. What is the energy of 1.0 mol of violet light photons? Compare the energy of photons of violet light with those of red light. Which is more energetic and by what factor?

Frequency of violet light:___________
Energy of one photon:______________
Energy of 1.0 mol of violet photons:_____________

Compare the energy of photons of violet light with those of red light. Which is more energetic and by what factor?
______________________

Solution Preview

To answer any of these questions, there are two things about light you need to know.

1) In the classical picture, light is a wave (although experiments you are studying right now add to that picture). For any wave the product of wavelength and frequency is the speed of the wave; in this case that speed is the speed of light. So in equation form:

frequency of wave x wavelength of wave = speed of light (3.00 E 8 m/s)
note in my notation 3.00 E8 means 3.00 x 10^8 m/s

Thus, for your violet light, the wavelength is 410 nanometers. A nanometer is ...

Solution Summary

This solution is provided in 436 words and discusses speed of light, the photon theory of light and the Planck equation.

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