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IGCSE · Cambridge (CIE) · 0654

Explain white-light dispersion by a glass prism

Follow different wavelengths through two nonparallel faces and explain the separated spectrum.

Section P3.2.4 · Dispersion of light

Dispersion of light · Cambridge IGCSE 0654 · P3.2.4

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

  • Trace entry and exit refraction at transparent boundaries.
  • Distinguish a prism from a parallel-sided block.

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

Quick readiness check

Why can white light form a prism spectrum?

What you will learn

  • Describe prism dispersion of white light.
  • Explain why the emergent colours have different deviations.
Original prism construction traces three representative components with supplied indices 1.50, 1.55 and 1.60 through two nonparallel faces using local normal angles. The red model ray deviates least and violet most. White light's visible range is continuous; three shown paths do not mean exactly three frequencies or calibrated intensity.White light → representative pathsWhite inputRed less · violet more deviationTwo nonparallel facesContinuous range · three shown rays
Original prism construction traces three representative components with supplied indices 1.50, 1.55 and 1.60 through two nonparallel faces using local normal angles. The red model ray deviates least and violet most. White light's visible range is continuous; three shown paths do not mean exactly three frequencies or calibrated intensity.

Different wavelengths refract differently

White light contains a range of visible frequencies and wavelengths. A glass prism refracts the light on entering and leaving its nonparallel faces. For ordinary visible-light dispersion in glass, the refractive index is generally greater for violet than for red, so the components follow different paths and leave with different overall deviations.

In the usual prism spectrum, red is deviated least and violet most; intermediate colours appear between them. The prism separates existing components rather than manufacturing colours from one frequency. A narrow white-light input and suitable projection arrangement make the spread easier to observe than a wide overlapping beam.

Read an ordinary spectrum with the right scope

A ray sketch can show representative red, green and violet paths while the real visible spectrum is continuous. The traditional seven names label regions of that continuous range, not seven isolated frequencies with empty spaces between them. The supplied original prism geometry is a teaching model, not a performed spectrum measurement.

A single-frequency input can still be refracted and deviated by the prism, but it cannot be dispersed into the full range already present in white light. A parallel-sided block can give wavelength-dependent lateral shifts while restoring parallel emergence in the matching outside medium; the prism's nonparallel faces make the separated net directions clear.

Sources for this lesson

Pause and explain

Which visible colour has the greatest usual deviation in a glass-prism spectrum?

Put the idea to work

Worked example

A narrow white beam passes through an ordinary glass prism. Compare its red and violet emergent directions.

Show the worked solution
  1. Both components refract at entry and exit.
  2. The glass's index differs for the two components.
  3. Violet shows greater overall deviation than red in the usual model.

Answer Red deviates least and violet most; the emergent spectrum separates white-light components.

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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

Explain how a glass prism disperses a narrow white beam.

Give me a hint

Follow both boundaries and compare the components.

Compare my reasoning
  1. White light contains different visible components.
  2. Their refraction differs at the prism faces.
  3. They emerge in different directions as a spectrum.

Wavelength-dependent refraction at nonparallel faces separates the components.

Look for these in your work

  • Use both boundaries.
  • Keep the components' origin in the input.
2 · Independent

Compare red and violet deviation in the ordinary prism model.

Give me a hint

Use the usual visible-light dispersion ordering.

Compare my reasoning
  1. Red and violet both undergo refraction.
  2. Violet has the greater usual glass index.
  3. Violet is deviated more and red less.

Violet most; red least.

Look for these in your work

  • State the correct order.
  • Link it to differing refraction.
3 · Transfer

A diagram shows only red, green and violet rays. Does this prove the spectrum contains exactly three frequencies?

Give me a hint

Representative drawing paths are not a full frequency inventory.

Compare my reasoning
  1. The three paths illustrate different deviations.
  2. White light has a continuous visible range.
  3. The drawing omits intermediate components for clarity.

No; representative rays illustrate a continuous spectrum.

Look for these in your work

  • Distinguish model from inventory.
  • Avoid inventing gaps between named colours.

Common mistakes

  • The prism separates components rather than creating frequencies.
  • Violet has greater usual prism deviation than red.
  • Seven named colours describe a continuous visible spectrum.
Recall without your notes

What can you explain now?

Does a prism turn one single frequency into all seven white-light colours?

Compare with the explanation

No.

Dispersion separates the frequencies present in the input.

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

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Make it stick

Explain prism dispersion, the red/violet ordering and the meaning of representative spectrum rays.

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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