Refractive index

Physics: IB Diploma Higher Level, topic 3.4.4

Snell's Law

Snell's law relates indices of refraction to the angles of incidence and refraction.

Equation

Equation

  • Snell's law is:
  • n1sin⁡θ1=n2sin⁡θ2n_1 \sin \theta_1 = n_2 \sin \theta_2
  • The ray of light begins in the medium with index of refraction n1.
  • θ1 is the angle of incidence.
  • n2 is the index of refration of the medium the light passes into.
  • θ2 is the angle of refraction.
Direction of bending

Direction of bending

  • When light travels from a less optically dense medium to a more optically dense medium, it bends towards the normal.
  • When light travels from a more optically dense medium to a less optically dense medium, it bends away from the normal.
  • The more optically dense a medium is, the slower light travels through it, and therefore the larger its index of refraction.

Test yourself on Refractive index

  • Light travels at 3 x 108 m/s. If light passes through a material at 1.5 x 108 m/s, what is the material's index of refraction?

  • Assuming that the speed of light in air is the same as the speed of light in a vacuum, what is the index of refraction of air?

  • If a medium has a high index of refraction, what will happen to a beam of light entering from air?

  • What is the correct equation for Snell's law?

  • Fill in the blank: index of refraction = 1 / ___(critical angle)

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