Problem: Visible light has wavelengths of roughly from 400 to 700 nm. If a certain color has a wavelength of 476.4 nm, what is the energy of one of its photons in J? Once you have the value, take it log (base 10) and enter that with three decimal places as your answer. Do not enter units.

FREE Expert Solution

Establish the relationship of energy and wavelength then calculate the energy of a photon that has a wavelength of 476.4 nm


Recall that the energy of a photon (E) is given by:


E=hv (1)


where:

h = Planck’s constant (6.626 × 10–34 J • s)

v = frequency (in s–1)


Also, recall that the frequency (v) and wavelength (λ) are related:


λ=cv (2)


where:

c = speed of light (3.0 × 108 m/s)


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Problem Details

Visible light has wavelengths of roughly from 400 to 700 nm. If a certain color has a wavelength of 476.4 nm, what is the energy of one of its photons in J? Once you have the value, take it log (base 10) and enter that with three decimal places as your answer. Do not enter units.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Particle Nature of Light concept. You can view video lessons to learn The Particle Nature of Light. Or if you need more The Particle Nature of Light practice, you can also practice The Particle Nature of Light practice problems.

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