# The energy of a Red Light photon wrt a Microwave photon

Please help with the following physics problem.

The lowest energy visible light photon is the longest wavelength at the red end of the light spectrum. How many times greater is this energy than that of a typical microwave photon with a wavelength of 10^7 nm?

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#### Solution Preview

See attached file.

Determining the energy relationship between light photons of different wavelengths and a comparison of results

The energy associated with a photon of light (E) can be described as directly proportional to its frequency (f ) by (1) below

E = h*f (1)

Where h is the constant of proportionality known as "planks constant" = 6.626 x 10^-34 J.s

We also know that the velocity light (c) can be shown to be the product of frequency (f ) and wavelength (Lamda) as given by (2)

c = Lamda*f (2)

Rearranging (2) in terms of ...

#### Solution Summary

This solution shows how one would typically estimate the energy of a longest wavelength visible light (red light) photon with respect to a microwave photon having a wavelength of 10^7 nm.