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# phyx eqns Wave/Optic

Question | Answer |
---|---|

Wave Speed | v= λ f |

Index of Refraction | n = c/v |

Law of Refraction | n1 sin θ1 = n2 sin θ2 |

Critical Angle | sin θ c = n2/ n1 |

Focal Length | f = r/2 |

Lens and Mirror Equation | 1/f = 1/di + 1/do |

Magnification Equation | M = hi/ ho or M= - di/do |

Power of a Lens | P = 1/f |

Constructive Interference for a Double Slits and Diffraction Gratings | d sin θ = mλ m = 1, 2, 3... d= separation of the slits |

Destructive Interference for a Double Slits and Diffraction Gratings | d sin θ = (m + 1/2) λ m = 1, 2, ,3.. |

Wavelength in a double slit experiment | λ = dx/ mL d= separation of the slits x= position of the fringe at m m= integer ( fringe order) L = Distance from slit to screen |

Minimum for a single slit | D sin θ = mλ m = 1, 2, 3... D= width of the slit |

Maximum for a single slit | The largest maximum occurs at m =0 the others occur at the halves |

Thin Films rule of Phase Change | The light is reflected by a material whose index of refraction is greater than that of the material in which it is traveling the light will change phase by 1/2λ |

Thin Film of air | 2t = mλ m= 1... or 1/2... Depends on where the phase change happens. If the phase change happens to the inner reflected it in on whole numbers. If the phase change happens of the outer layer they will get constructive interference on half number λ |

Thin Film` | 2t = mλ/n m= 1... or 1/2... n= index of refraction |

Polarizing Angle or Brewster's angle | tan θ = n2/ n1 |