Shortcut Methods

#Numerical Examples for Refraction Through a Prism and Dispersion:

Refractive Index

  • Refractive index of glass for red light: 1.52
  • Refractive index of glass for blue light: 1.54
    Angle of Prism
  • Angle of prism: 60 degrees
  • Angle of prism: 45 degrees
    Angle of Deviation
  • Angle of minimum deviation for red light: 40 degrees
  • Angle of minimum deviation for blue light: 45 degrees
    Dispersion of Light
  • Dispersive power of a prism: 0.02 (for visible spectrum)
    Critical Angle
  • Critical angle for glass-air interface: 42 degrees
    Total Internal Reflection
  • Condition for total internal reflection: i > c, where i is the angle of incidence and c is the critical angle
    Lens Formula
  • Focal length of a convex lens: 20 cm
  • Focal length of a concave lens: -15 cm
    Power of a Lens
  • Power of a lens: 2 D (for a 50 cm focal length lens)
    Thin Lens Equation
  • Object distance: 20 cm
  • Image distance: 40 cm
  • Focal length of the lens: 15 cm (using the thin lens equation 1/f = 1/u + 1/v)
    Magnification
  • Magnification of a simple microscope: 10x
  • Magnification of a compound microscope: 1000x
    Ray Diagrams
  • Ray diagrams illustrating the refraction of light through a prism and the dispersion of light.
  • Ray diagrams showing the formation of images by lenses, both converging and diverging.


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