C.3.3—Refractive index

Syllabus
First assessment 2025
Objective
—
Level
HL

Calculate Refractive Index

Define refractive index

The refractive index of a medium is n=c/vn=c/v, where cc is the speed of light in vacuum and vv is its speed in the medium. A larger nn means a lower light speed in that medium.

Relate speed and wavelength

At a stationary boundary the frequency is unchanged. Since v=fλv=f\lambda, a lower speed means a shorter wavelength. For two media, n2/n1=λ1/λ2n_2/n_1=\lambda_1/\lambda_2 when the frequency is common.

Use a graph or measurement

If a graph’s gradient represents nn, state that interpretation before reading the value. For uncertainty, use the spread from suitable maximum and minimum lines or the specified uncertainty method.

Common trap

Do not use n=v/cn=v/c, and do not assume wavelength stays fixed when light enters a different medium. Frequency is the quantity that remains fixed at a stationary boundary.

C.3.3 Exam Analysis

[ 2 ]

Determine the value of the refractive index of the glass with its absolute uncertainty.

Retrieve the Core C.3 Wave Phenomena Model

C.3 Wave phenomena is secure when you can connect the physical picture to the equation and its limits.

  • Wavefronts and rays
  • Reflection, refraction and Snell’s law
  • Refractive index and total internal reflection
  • Superposition, coherent sources and interference
  • Young’s double-slit pattern