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IGCSE · Cambridge (CIE) · 0654

Trace light through a parallel-sided transparent block

Explain entry toward the normal, exit away and parallel emergence with a lateral shift.

Refraction of light · Cambridge IGCSE 0654 · P3.2.2

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Draw a separate normal at each contact.
  • Know that glass slows light relative to air.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

When an oblique ray enters slower glass from air, which way does it bend?

What you will learn

  • Describe passage at the two boundaries of a transparent block.
  • Distinguish final direction from lateral displacement.
Original parallel-sided slab construction uses index 1.50, incidence 40° and internal refraction about 25.37°. Its second normal is parallel to the first; emergence into the same outside medium restores the original direction with a lateral shift. The dashed line is the undeviated incident-line extension, not a second transmitted beam. Apparatus methods must still be performed under supervision.Two parallel faces · same outsidei = 40°r ≈ 25.4°Parallel emergence · lateral shiftDashed: undeviated line
Original parallel-sided slab construction uses index 1.50, incidence 40° and internal refraction about 25.37°. Its second normal is parallel to the first; emergence into the same outside medium restores the original direction with a lateral shift. The dashed line is the undeviated incident-line extension, not a second transmitted beam. Apparatus methods must still be performed under supervision.

Follow the two boundaries in order

An oblique ray travelling from air into ordinary glass changes speed and bends toward the normal. Within a uniform block it travels straight. On passing from glass back into air it speeds up and bends away from the second normal, provided transmission is possible. Label the incident region at each face instead of applying one entry rule everywhere.

For parallel faces and the same outside medium on both sides, the two normals are parallel and the emergent direction is parallel to the incident direction. The block can move the ray sideways: the emergent line usually does not lie on the undeviated straight extension of the incoming line.

Do not generalise a parallel-face result

The same incidence path at a nonparallel pair of faces, such as a prism, need not emerge parallel. Surface orientation determines the second incidence normal and therefore the exit direction. State the geometry and the two surrounding regions when describing the light path.

Refraction need not remove all reflection. A simple school path diagram follows the main transmitted ray while omitting weaker reflected paths for clarity. The omitted rays do not mean all incident energy is transmitted; neither the angle drawing nor a direction change supplies an exact energy percentage.

Sources for this lesson

Pause and explain

Which condition supports parallel emergence in this block model?

Put the idea to work

Worked example

Describe a main transmitted ray through an air–glass–air parallel-sided block at oblique incidence.

Show the worked solution
  1. Air to glass: it bends toward the normal.
  2. Inside uniform glass: it follows a straight path.
  3. Glass to air: it bends away and emerges parallel but laterally shifted.

Answer Toward on entry, away on exit; parallel emergence with lateral displacement.

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Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Describe both bends for oblique passage through an air–glass–air parallel-sided block.

Give me a hint

Treat the two incident regions separately.

Compare my reasoning
  1. The first incident region is air, so entry is toward the normal.
  2. The second incident region is glass, so transmitted exit is away.
  3. Parallel faces restore the initial direction with a possible shift.

Toward, then away; parallel emergence with possible lateral displacement.

Look for these in your work

  • Name the region changes.
  • Retain the face geometry.
2 · Independent

Explain why a parallel emergent ray need not follow the incoming ray's undeviated line.

Give me a hint

Direction and position are different properties of a line.

Compare my reasoning
  1. The internal segment changes direction.
  2. The exit restores direction at a different contact point.
  3. The resulting outside path is parallel but can lie to one side.

The internal path changes the exit position, giving a lateral shift.

Look for these in your work

  • Separate direction from position.
  • Use both boundary contacts.
3 · Transfer

May a prism's two nonparallel faces be assumed to restore the incoming direction?

Give me a hint

Examine whether the second normal is parallel to the first.

Compare my reasoning
  1. Prism faces are nonparallel.
  2. Their normals are therefore different in orientation.
  3. The two bends need not cancel, so a net deviation can occur.

No; nonparallel faces can produce net deviation.

Look for these in your work

  • Identify the changed geometry.
  • Do not transfer the parallel-block rule blindly.

Common mistakes

  • Apply the correct region change at each face.
  • Parallel direction does not mean the same line.
  • A prism does not have the parallel-face cancellation.
Recall without your notes

What can you explain now?

Can an emergent ray be parallel to the incident ray and still displaced?

Compare with the explanation

Yes.

Parallel lines can be separated sideways.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Trace both boundaries with their local normals and distinguish emergence direction from displacement.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

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