Light Equations,

Physical Constants:

c = 3.00 x 108 m/s (speed of light)

h = 6.626 x 10−34 J⋅s (Planck’s constant)

Relevant equations related to light and modern physics:

c = \lambda f

This first equation is based on the regular wave equation, v = λf.
Instead of “v” for speed, we have “c” for the speed of light. You can calculate the wavelength of light if you know its frequency, and vice versa.

E = hf = \cfrac{hc}{\lambda}

This equation gives the energy of a single photon of light given its frequency. Or, you can use the second half of the equation to calculate a photon’s energy from its wavelength. The equations include Planck’s constant, h.

p = \cfrac{h}{\lambda} = \cfrac{hf}{c}

This equation has two interesting uses.
1) If you know the wavelength or frequency of a light photon, you can calculate its momentum, p.
2) You can calculate the De Broglie wavelength of any particle, such as an electron, if you know its momentum, p.

E = mc^2

This equation shows a relation between mass and energy. The speed of light, c, appears in the equation.