IGCSE 0625 / Section 3.2 / Core

Trapped by the angle.

Past a certain steepness, light hitting the inside of a glass surface stops escaping altogether and bounces back as if the surface were a perfect mirror. That tipping point is the critical angle, and the effect keeps light racing down fibre-optic cables.

The key idea

When light travels from a denser to a less dense medium, increasing the angle of incidence reaches a critical angle at which the refracted ray runs along the surface. Beyond that angle, no light escapes: it is all reflected back, which is total internal reflection.

Definition · learn the exact words

The critical angle is the angle of incidence in the denser medium for which the angle of refraction is 90 degrees; beyond it, total internal reflection occurs and all the light is reflected back.

total internal reflection when angle of incidence > critical angle

It only happens going from a denser to a less dense medium, such as glass to air.

Section 01

Push past the critical angle.

Increase the angle of incidence inside the glass and watch the refracted ray vanish as the light is reflected back.

Section 02

Turning light with a prism.

A right-angle glass prism turns light through 90 degrees by total internal reflection. The ray meets the slanted face at 45 degrees, more than the critical angle, so none of it escapes. Two such prisms form a periscope.

Stage 1 · Learn

Check total internal reflection

Four quick checks. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

The critical angle is the angle of incidence for which the angle of refraction is...

Quick check+10 XP

Total internal reflection occurs when the angle of incidence is...

Quick check+10 XP

Total internal reflection can occur when light passes from...

Quick check+10 XP

When the angle of incidence is greater than the critical angle, the light is...

Section 02

Three stages of the angle.

As the angle of incidence grows, the behaviour passes through three clear stages.

Examiner trap

Total internal reflection only happens when light travels from a denser to a less dense medium, such as glass to air, and only when the angle of incidence is greater than the critical angle. Light going from air into glass can never be totally internally reflected.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 2.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

Light inside a glass block meets the glass-air boundary at an angle larger than the critical angle. It will...

Exam style+20 XP

At exactly the critical angle, the refracted ray...

Exam style+20 XP

Total internal reflection can NOT occur when light travels from...

Skill unlocked

Total internal reflection, mastered.

Total internal reflection mastered. The Extended look at refractive index is next.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The critical angle, the condition for total internal reflection, and the three stages as the angle of incidence increases. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Waves challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just total internal reflection.
Start the unit challenge →