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The assumption of the previous answer is wrong. By passing them through the correct medium, the velocity at which protons travel can be reduced. This follows the theory of relativity, which only sets a maximum value for light speed, not a minimum. The equations:

E=hv

[E-energy [J] | h-Planck's constant [6.6260755 x 10¯34 Joule second] | v-frequency [Hz, sec-1]]

and

λν=c

[λ-wavelength [m] | ν-frequency [Hz, sec-1] | c-speed of light (photon) [m/s]]

still hold true however. You can re-arrange the second equation such that λ=c/v . From this equation you can see that the relationship of wavelength and photon velocity are directly proportional. That is to say as the wavelength increases, so too does it's velocity - so long as the frequency of the sinusoidal wave stays constant.

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Q: What is the relationship between photon wavelength and photon velocity?
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