3.3.2.3
Refractive index measures how much a medium slows down light
Refraction & Total Internal Reflection — AQA A-Level Physics
Key Definition
Refractive index — The ratio of the speed of light in a vacuum to the speed of light in the material. Symbol: n. It is dimensionless (no units).
$$n = \frac{c}{v}$$
$$n = \frac{c}{c_s}$$
- $n$: refractive indexThe ratio of the speed of light in a vacuum to the speed of light in a medium. Determines how much light bends on entering the medium. of the material (no units)
- $c$: speed of light in a vacuum (\(3 \times 10^{8}\) m \(s^{-1}\))
- $c_s$: speed of light in the material (m \(s^{-1}\))
- The refractive indexThe ratio of the speed of light in a vacuum to the speed of light in a medium. Determines how much light bends on entering the medium. of air is $n = 1 (treat air$ as a vacuum for calculations).
- Media more optically dense than air have n > 1.
- The higher the refractive indexThe ratio of the speed of light in a vacuum to the speed of light in a medium. Determines how much light bends on entering the medium., the more optically dense the material and the slower light travels through it.
- Typical values: water n = 1.33, glass n = 1.5, diamond $n = 2.42$.
Examiner Tips and Tricks
- Always check your answer for refractive index is greater than 1.
- If it is less than 1, something has gone wrong.
- The refractive index of air is not given in questions -- always assume $n_{\text{air}} = 1$.
Related:Diffraction