PhysicsCore18 min read

Electromagnetic Spectrum

One family of waves, seven names, and what each one is used for

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01

One family, seven names

Radio waves, microwaves, infrared, visible light, ultraviolet, X-rays and gamma rays look like seven unrelated phenomena. They are one phenomenon at seven different frequencies.

Every electromagnetic wave is a transverse wave consisting of oscillating electric and magnetic fields. None needs a medium, so all of them cross a vacuum — which is how sunlight reaches us. And in a vacuum every one of them travels at exactly the same speed, 3.0 × 10⁸ m s⁻¹.

What differs is frequency, and therefore wavelength, since c = fλ ties the two together at fixed speed. Radio waves can be kilometres long; gamma rays are smaller than an atomic nucleus. Everything else — how they are made, what they pass through, what they do to living tissue — follows from that difference.

c = f λc = 3.0 × 10⁸ m s⁻¹the same speed for every EM wave in a vacuum
c
speed of light in a vacuumm s⁻¹
f
frequencyHz
λ
wavelengthm

The scale is logarithmic because the spectrum spans twenty powers of ten. Drag the marker and watch wavelength and frequency move in opposite directions — as one rises the other falls, because their product is always 3.0 × 10⁸.

Learn the order, in both directions

Radio · microwave · infrared · visible · ultraviolet · X-ray · gamma. Wavelength decreases along that list and frequency increases. Questions often give you one end and ask for a comparison at the other, and the order is the only thing you need.

02

What each region is used for

Every use follows from a property, and exam answers are marked on the link between the two rather than on the use alone.

Radio waves have the longest wavelengths, diffract around hills and buildings, and are reflected by the ionosphere — so they carry broadcast signals over the horizon. Microwaves pass through the atmosphere with little absorption, which makes them right for satellite communication and mobile phones; they are also absorbed strongly by water molecules, which is what heats food in a microwave oven.

Infrared is emitted by any warm object, so it is used in thermal imaging, remote controls and heaters. Visible light is the narrow band our eyes detect, and is what optical fibres carry.

Ultraviolet is energetic enough to ionise, so it kills bacteria and is used to sterilise water and instruments; it also makes some materials fluoresce, which is how security marks are read. X-rays pass through soft tissue but are absorbed by bone, giving shadow images. Gamma rays, the most penetrating, sterilise equipment and destroy tumours.

RegionTypical wavelengthUses
Radio1 m – 10 kmbroadcasting, television
Microwave1 mm – 1 msatellite links, mobile phones, cooking
Infrared700 nm – 1 mmthermal imaging, remote controls, heating
Visible400 – 700 nmsight, optical fibres, photography
Ultraviolet10 – 400 nmsterilising, fluorescence, tanning
X-ray0.01 – 10 nmmedical imaging, security scanning
Gammabelow 0.01 nmsterilising equipment, treating tumours
03

Dangers, and why they rise along the spectrum

The hazard of an electromagnetic wave tracks its frequency, because higher frequency means more energy delivered per photon, and enough energy per photon means the wave can ionise — knock electrons out of atoms in living tissue.

At the low-frequency end the risk is heating. Microwaves are absorbed by water, and since we are largely water, prolonged exposure causes internal heating of tissue. Infrared in excess causes ordinary skin burns.

From ultraviolet upwards the radiation is ionising, and the risk changes character. Ultraviolet damages the surface of the eye and causes skin cancer. X-rays and gamma rays penetrate deep into the body, and can mutate DNA, cause cell damage and cause cancer.

This is why radiographers step behind a lead screen for every exposure. A single X-ray carries a very small risk; taking dozens a day for a career does not.

Worked example 14 marks

A radio station broadcasts at 92.4 MHz. Calculate the wavelength. State how this compares with the wavelength of visible light and what that implies for diffraction.

  1. Convert: 92.4 MHz = 9.24 × 10⁷ Hz.Mega means ×10⁶.
  2. λ = c/f = 3.0 × 10⁸ / 9.24 × 10⁷.
  3. λ = 3.2 m.
  4. About five million times longer than visible light, so radio diffracts around obstacles the size of buildings and hills while light does not.Diffraction is greatest when the gap or obstacle is comparable to the wavelength.

3.2 m — long enough to diffract around buildings

Key points

  1. All EM waves are transverse, need no medium, and travel at 3.0 × 10⁸ m s⁻¹ in a vacuum.
  2. Only frequency and wavelength differ, linked by c = fλ.
  3. Every use follows from a property — state both to earn the marks.
  4. Ionising begins at ultraviolet and gets worse with frequency.
  5. Longer wavelengths diffract more, which is why radio reaches round hills.
04

Communicating with electromagnetic waves

Almost every long-distance signal you send travels as an electromagnetic wave, and which part of the spectrum is used depends on the distance and the obstacles in the way.

Long and medium radio waves diffract around hills and buildings and are reflected by the ionosphere high in the atmosphere, so they bounce between ground and sky and can be received far beyond the horizon. This is why AM radio reaches remote valleys where television does not.

Shorter wavelengths do not diffract nearly as much, so television and FM radio require a line of sight to the transmitter — hence tall masts on high ground, and a poor picture behind a hill.

Microwaves pass straight through the ionosphere rather than reflecting from it, which sounds like a disadvantage and is in fact the reason they are used for satellite communication: the signal must get out to the satellite and back down again. Mobile phones use microwaves too, communicating with a network of local masts.

Optical fibres carry visible light and infrared instead, and carry far more information than any radio channel. This is why intercontinental internet traffic runs through undersea cables rather than satellites — a fibre has vastly more capacity and much less delay.

Worked example 23 marks

Explain why microwaves are used for satellite communication while long-wave radio is not.

  1. Microwaves pass through the ionosphere and the atmosphere with little absorption.They can reach the satellite and return.
  2. Long radio waves are reflected by the ionosphere.They would never reach a satellite above it.
  3. Microwaves also carry more information, because higher frequency means greater bandwidth.

microwaves pass through the ionosphere; long radio waves reflect off it

Practice questions

6 questions · 24 marks · full working on every one

Try each one on paper first, then open the working. The marks are shown where they are actually awarded, because that is where they are actually lost.

Short questions

2 · 4 marks

Two marks each, in the style of the short-question section of the paper. Answer in two or three lines.

SQ1[2 marks]
State two properties common to all electromagnetic waves.
Model answer

They are all transverse waves, and they all travel at 3.0 × 10⁸ m s⁻¹ in a vacuum. (Also acceptable: none requires a medium; all carry energy.)

Examiner tip. Two distinct properties. "They are all waves" is not one of them.

SQ2[2 marks]
Explain why microwaves rather than infrared are used for satellite communication.
Model answer

Microwaves pass through the atmosphere with little absorption, so the signal reaches the satellite and returns. Infrared is strongly absorbed by the atmosphere.

Examiner tip. The comparison is the mark — say what infrared does wrong, not only what microwaves do right.

Solved numericals

1 · 3 marks

Full working, one step per line, with the marks shown where they are awarded.

N1[3 marks]
A radio station broadcasts at a frequency of 96.0 MHz. Calculate the wavelength of the waves. Take c = 3.0 × 10⁸ m s⁻¹.

Given. f = 96.0 MHz = 9.60 × 10⁷ Hz, c = 3.0 × 10⁸ m s⁻¹

Full working
  1. Converts MHz to Hz: 96.0 × 10⁶ = 9.60 × 10⁷ Hzthe prefix is where this question is won or lost[1]
  2. Rearranges c = fλ to λ = c/f[1]
  3. λ = 3.0 × 10⁸ / 9.60 × 10⁷ = 3.1 m[1]

3.1 m

Examiner tip. Sanity-check the answer against the table: a few metres is squarely in the radio region, so it is plausible. An answer of 3.1 nm would mean you had made a prefix error.

Long questions

1 · 8 marks

Theory and numerical together, as they appear in the long-question section.

LQ1[8 marks]
A hospital uses several parts of the electromagnetic spectrum.
  1. Explain why X-rays produce a useful image of a broken bone. [2]
  2. Explain why gamma rays can be used to treat a tumour but must be carefully targeted. [3]
  3. Explain why ultraviolet is used to sterilise equipment, and state one precaution staff must take. [3]
Mark scheme
  1. X-rays pass through soft tissue but are absorbed by the denser bone[1]
  2. Producing a shadow image on the detector[1]
  3. Gamma rays are ionising and can kill living cells[1]
  4. A focused beam destroys the tumour cells[1]
  5. But healthy cells would also be damaged or mutated, so exposure elsewhere must be minimised[1]
  6. Ultraviolet is ionising enough to kill bacteria[1]
  7. So it sterilises surfaces and instruments[1]
  8. Staff must wear eye protection / avoid skin exposure, since UV causes eye damage and skin cancer[1]

Examiner tip. Every "explain" in a spectrum question wants the property (ionising, absorbed, transmitted) and its consequence. Naming the region alone is never enough.

Exam questions

2 · 9 marks

Multi-part questions with a full mark scheme.

Q1[5 marks]
The electromagnetic spectrum is divided into seven regions.
  1. List the regions in order of increasing frequency.
  2. State the speed of all electromagnetic waves in a vacuum.
  3. Explain why gamma rays are more dangerous to living cells than radio waves.
Mark scheme
  1. Radio, microwave, infrared, visible, ultraviolet, X-ray, gammatwo marks for the full correct order; one for a mostly correct order[2]
  2. 3.0 × 10⁸ m s⁻¹[1]
  3. Gamma rays have a much higher frequency, so each photon carries much more energy[1]
  4. They are ionising — able to remove electrons from atoms, which can damage or mutate cellsthe word "ionising" is what the mark scheme looks for[1]

Order as listed; 3.0 × 10⁸ m s⁻¹; gamma is ionising because of its far higher photon energy

Examiner tip. The order is worth two marks on its own and takes ten seconds to write. Learn it as a sequence, not as seven separate facts.

Q2[4 marks]
State one use and one danger for each of infrared and ultraviolet radiation.
Mark scheme
  1. Infrared use: remote controls / thermal imaging / heatersany one[1]
  2. Infrared danger: skin burns[1]
  3. Ultraviolet use: sterilising / security marking / detecting forgeriesany one[1]
  4. Ultraviolet danger: skin cancer / eye damage[1]

Examiner tip. One use and one danger, per region — four separate marks. Listing three uses of infrared and no danger scores one.