When light enters a more dense material, (e.g. perspex), it will slow down… This is called Refraction. The speed of light in a vacuum is 3x10 8 ms -1 and because of this … it will change directiontowards the normal
As the light returns to the less dense air, it will change direction away from the normal The change in speed (and hence direction) depends upon the index of refraction, n of the materials concerned.
Material Refractive Index (no units) Vacuum1.00 Air/gases1.00 Ice1.31 Water1.33 Perspex1.50 Glass(1.5 ~ 1.7) Diamond2.41 Typical Refractive Indices
For a light ray moving from material 1 into material 2, the change in direction is given by where n 1 is the refractive index of material 1, and is the angle between the incident ray and the normal in material 1. n1n1 n2n2 Material 1Material 2
Example 1 A light ray enters a perspex block at 30 o to the normal. Calculate the angle of refraction in the perspex. nana npnp AirPerspex n a = 1.00 n p = 1.50
Determining Refractive Index by Experiment Perspex D Block D-
Providing that the light ray is moving from air to another material (e.g. perspex), the following will be true: and therefore: y = m x A straight-line graph can be obtained, which should go through the origin, with a gradient equal to the refractive index of the perspex. This special case is only true if air is the first material!
Effect on Frequency and Speed The frequency of a wave is entirely determined by the source of that wave. The frequency of a wave does not change after leaving its source. The speed of a light ray will change on entering a different material. The change in speed is described by a variation of Snell’s Law: n1n1 n2n2 Material 1Material 2 n 1 v 1 = n 2 v 2
Effect on Wavelength Because the speed changes, the wavelength of the light ray must also change. This is because the frequency, wavelength and speed are linked by the Wave Equation: Speed = Frequency x Wavelength If speed decreases, and frequency is constant, the wavelength must also decrease. n1n1 n2n2 Material 1Material 2 n 1 1 = n 2 2
Example 2 A red light ray (633 nm) enters a glass block at 30 o in air. The angle of refraction in the glass is measured as 17 o. Calculate: a)The refractive index of the glass block. b)The speed and wavelength of the light ray in the glass block. a)
b)