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IGCSE · Cambridge (CIE) · 0654

Order the electromagnetic spectrum by frequency and wavelength

Read all seven regions in both directions without confusing wave type with propagation speed.

Electromagnetic spectrum · Cambridge IGCSE 0654 · P3.3

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

  • Use v = fλ.
  • Recognise the visible spectrum as part of a wider range.

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

Quick readiness check

At the same speed, what follows when frequency doubles?

What you will learn

  • Order the seven main electromagnetic regions.
  • Explain the inverse vacuum wavelength and frequency orders.
Original ordered reference places all seven electromagnetic regions in increasing frequency and decreasing vacuum wavelength order. The equally spaced rows are categories, not equal frequency intervals or measured spectral boundaries. Microwaves are listed separately within the wider radio-frequency range.Increasing frequency ↓Vacuum wavelength decreases ↓RadioMicrowavesInfraredVisibleUltravioletX-raysGamma raysSame vacuum speed for all
Original ordered reference places all seven electromagnetic regions in increasing frequency and decreasing vacuum wavelength order. The equally spaced rows are categories, not equal frequency intervals or measured spectral boundaries. Microwaves are listed separately within the wider radio-frequency range.

Use one ordered sequence

From low to high frequency the regions are radio, microwaves, infrared, visible, ultraviolet, X-rays and gamma rays. Microwaves occupy a radio-frequency subregion, but the syllabus lists them separately. Region boundaries are conventions rather than gaps with no radiation.

In vacuum the corresponding wavelength decreases along that same sequence. For increasing wavelength, reverse the list. Always state the quantity and direction: an unexplained list can accidentally answer the opposite ordering question.

Keep frequency separate from speed

The regions differ in frequency and vacuum wavelength, but they all have the same vacuum speed. A gamma ray does not outrun a radio wave simply because its frequency is higher. In c₀ = fλ, a larger frequency is balanced by a shorter wavelength.

Visible light is a small part between infrared and ultraviolet. Infrared lies below visible frequency; ultraviolet lies above it. These relationships help place unfamiliar uses without assuming that everything beyond human vision has the same physical effect.

Sources for this lesson

Pause and explain

Which region lies between visible light and X-rays?

Put the idea to work

Worked example

Give the regions in increasing vacuum wavelength order.

Show the worked solution
  1. Longer wavelength corresponds to lower frequency at fixed speed.
  2. Start at the short-wavelength gamma-ray end.
  3. Reverse the increasing-frequency sequence.

Answer Gamma rays, X-rays, ultraviolet, visible, infrared, microwaves, radio.

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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

List the seven main regions in increasing frequency order.

Give me a hint

Begin at the radio end and move toward gamma rays.

Compare my reasoning
  1. Start radio then microwaves.
  2. Continue infrared, visible and ultraviolet.
  3. End with X-rays and gamma rays.

Radio, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays.

Look for these in your work

  • Include every region.
  • Specify increasing frequency.
2 · Independent

Order infrared, gamma rays, microwaves and ultraviolet by increasing vacuum wavelength.

Give me a hint

Reverse their relative positions in the frequency list.

Compare my reasoning
  1. Gamma rays have the shortest wavelength of these four.
  2. Ultraviolet precedes infrared in increasing wavelength.
  3. Microwaves finish at the longer-wavelength end.

Gamma rays, ultraviolet, infrared, microwaves.

Look for these in your work

  • Use the wavelength direction.
  • Retain the selected four regions only.
3 · Transfer

A learner says gamma rays arrive first because their frequency exceeds radio. Evaluate the claim for equal vacuum paths.

Give me a hint

Compare speed and path length, not just frequency.

Compare my reasoning
  1. Both waves share the same vacuum speed.
  2. The travel times equal distance divided by that speed.
  3. Equal path lengths therefore give equal ideal travel times.

The claim is false: equal vacuum paths give equal travel times.

Look for these in your work

  • Distinguish frequency from speed.
  • State the equal-path condition.

Common mistakes

  • State which quantity increases.
  • Higher frequency does not mean faster vacuum travel.
  • Region names describe adjoining parts of a continuous spectrum.
Recall without your notes

What can you explain now?

Which has higher frequency: infrared or ultraviolet?

Compare with the explanation

Ultraviolet.

Visible lies between them, with ultraviolet at the higher-frequency side.

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

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Make it stick

Give both main spectrum orders and explain why different frequency does not imply different vacuum speed.

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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