## Nature of Light

• ### Units and Variables

• E - energy, in Joules
• f - frequency, in Hertz
• h - Planck's constant
• θ - angle of inflection from normal, in degrees
• Φ - apex angle of a prism, in degrees
• δmin - maximum deviation
• $h=6.63×{10}^{-34}Js$
• $E=hf$
• $\frac{\mathrm{sin}\left({\theta }_{2}\right)}{\mathrm{sin}\left({\theta }_{1}\right)}=\frac{{v}_{2}}{{v}_{1}}=\text{constant}$
• $n=\frac{\text{speed in a vacuum}}{\text{speed in a medium}}=\frac{c}{v}$
• ${n}_{1}\mathrm{sin}\left({\theta }_{1}\right)={n}_{2}\mathrm{sin}\left({\theta }_{2}\right)$
• ### Total Internal Reflection

• where n1 is the index of refraction of the denser medium
• ### Minimum Deviation

• $n=\frac{\mathrm{sin}\left(\frac{\Phi +{\delta }_{\mathrm{min}}}{2}\right)}{\mathrm{sin}\left(\frac{\Phi }{2}\right)}$