Nature of light

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
  • δ_min - maximum deviation
• $h=6.63\times {10}^{-34}Js$
• $E=hf$
• $\frac{\sin \left({\theta }_2\right)}{\sin \left({\theta }_1\right)}=\frac{v_2}{v_1}=\text{constant}$
• $n=\frac{\text{speed in a vacuum}}{\text{speed in a medium}}=\frac{c}{v}$
• $n_1\sin \left({\theta }_1\right)=n_2\sin \left({\theta }_2\right)$

• Total Internal Reflection

  • $\sin \left({\theta }_c\right)=\frac{n_2}{n_1}\text{(for }{n}_1>n_2\text{)}$
    • where n₁ is the index of refraction of the denser medium

• Minimum Deviation

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