Chapter 3

Reflection and Refraction of Light

The law of reflection, images in a plane mirror, refraction when light changes speed, and refractive index n = sin i / sin r.

Reflection at a plane mirror

When light hits a surface it can be reflected. Angles are always measured from the normal, an imaginary line drawn at 90° to the surface. The law of reflection states that the angle of incidence equals the angle of reflection (i = r).

The image in a plane mirror is: virtual (cannot be caught on a screen), the same size as the object, upright, the same distance behind the mirror as the object is in front, and laterally inverted (left and right swapped).

Refraction

Refraction is the change in direction of light when it passes from one medium to another because its speed changes. Light slows down when it enters a denser medium (such as glass), and bends towards the normal. Going from glass back into air it speeds up and bends away from the normal. The frequency of the light does not change.

Key idea

Refractive index: n = sin i / sin r
where i is the angle of incidence and r the angle of refraction (measured from the normal). Also n = speed in vacuum / speed in medium.

Worked example

A ray enters glass with an angle of incidence of 60° and refracts at 35°. Find the refractive index.

n = sin 60° / sin 35° = 0.866 / 0.574 = 1.51 (3 s.f.).

Remember

  • Into a denser medium: bends towards the normal. Into a less dense medium: bends away.
  • If the ray travels along the normal (i = 0°), it is not bent.
  • Beyond the critical angle, light is totally internally reflected.

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