CSEC PHYSICS · SECTION C · LESSON C7

Critical Angle and Total Internal Reflection

What the critical angle is, when total internal reflection occurs, sin c = 1/n, and the periscope, binoculars, optical fibres and endoscopes.

Waves and OpticsC 4.11C 4.12C 4.13≈ 40 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON C7 · EXPLAINER

Critical Angle and Total Internal Reflection

Underwater, if you look up at the right angle the surface becomes a perfect mirror. Optical fibres use the same effect to carry the internet across oceans.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

Total internal reflection in 3D

Increase the angle until the ray is totally reflected.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Critical angle c

Angle of incidence in the denser medium for which the angle of refraction is 90°.

TIR conditions

Denser → less dense medium AND angle of incidence > c.

sin c

sin c = 1/n.

Values

Glass c ≈ 42°; water c ≈ 49°; diamond c ≈ 24°.

Periscope

Two right-angled prisms; 45° > c so TIR.

Optical fibre

Core + lower index cladding; light carried by repeated TIR.

Uses

Binoculars, reflectors, telecommunications, endoscopes.

Never

TIR when going from air into glass.

EXAM TIPS & COMMON MISTAKES

  • State BOTH conditions for TIR; the exam often asks for them.
  • Do not say “the light is reflected from a mirror” — say “total internal reflection”.
  • Use sin c = 1/n with n of the denser medium relative to air.
  • Draw the normal at each reflection and show equal angles.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus C 4.11

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

Answer: B. The refracted ray runs along the boundary.
Syllabus C 4.12

2. Total internal reflection can occur when light travels from

Answer: C. It must go from a denser to a less dense medium.
Syllabus C 4.12

3. For total internal reflection, the angle of incidence must be

Answer: D. i must exceed c.
Syllabus C 4.11

4. A glass has refractive index 1.5. Its critical angle is about

Answer: A. sin c = 1/1.5 = 0.667.
Syllabus C 4.11

5. Which material has the smallest critical angle?

Answer: B. The highest refractive index gives the smallest c.
Syllabus C 4.13

6. Light is guided along an optical fibre by

Answer: C. Repeated TIR at the core boundary.
Syllabus C 4.13

7. A periscope uses right-angled prisms rather than plane mirrors because the prisms

Answer: D. Reflection is total (100%).
Syllabus C 4.13

8. The 45° angle of incidence at the long face of a glass prism leads to total internal reflection because 45° is

Answer: A. 45° exceeds the critical angle for glass.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Total internal reflection

Question 1 [15 marks]

A ray of light travels inside a glass block of refractive index 1.6 towards a glass–air boundary.

(a) (a) Define the critical angle. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Calculate the critical angle for the glass. [3]

MARK SCHEME — (b) (max 3)

(c) (c) State two conditions for total internal reflection. [2]

MARK SCHEME — (c) (max 2)

(d) (d) A ray strikes the boundary at 50°. Describe what happens to it. [2]

MARK SCHEME — (d) (max 2)

(e) (e) Describe how an optical fibre guides light. [3]

MARK SCHEME — (e) (max 3)

(f) (f) State two uses of optical fibres. [2]

MARK SCHEME — (f) (max 2)

(g) (g) Explain why total internal reflection cannot occur when light goes from air into glass. [1]

MARK SCHEME — (g) (max 1)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.