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PhysicsWaves and light

Radio waves

Radio waves are the type of electromagnetic wave with the longest wavelengths and the lowest frequencies. Like all electromagnetic waves they are transverse and travel through a vacuum at the speed of light, 3.0 × 10⁸ m/s. They are made by alternating currents in aerials, and they carry radio, television and other communication signals.

Radio waves in the electromagnetic spectrum

AQA's GCSE specification lists the groups of the electromagnetic spectrum in order: radio, microwave, infrared, visible light (red to violet), ultraviolet, X-rays and gamma rays. Radio waves are at the long-wavelength, low-frequency end. All types of electromagnetic wave travel at the same velocity through a vacuum or air.

Type of waveWavelengthFrequency
Radio wavesLongestLowest
Microwaves
Infrared
Visible light
Ultraviolet
X-rays
Gamma raysShortestHighest

OpenStax University Physics describes radio waves as having wavelengths greater than about 0.1 m, though there is no sharp boundary with microwaves. Some radio wavelengths are many kilometres long.

How radio waves are made and received

transmitterreceiverradio wave
An alternating current in the transmitting aerial produces radio waves; when they reach a receiving aerial they induce an alternating current of the same frequency.

AQA's specification states that radio waves can be produced by oscillations in electrical circuits. An alternating current in the wires of a transmitting aerial makes the electrons in it move back and forth, and that produces a radio wave with the same frequency as the current.

It works the other way round too. AQA puts it this way: when radio waves are absorbed, they may create an alternating current that oscillates at the frequency of the wave itself. A radio or television picks up that tiny current and turns the signal it carries back into sound or pictures. This is why aerials are made of metal: it contains free electrons that the wave can move.

Uses of radio waves

AQA lists television and radio as uses of radio waves. Other uses rely on the same properties:

  • Radio and television broadcasting. Long wavelengths spread round obstacles and travel long distances, so one transmitter can cover a large area.
  • Two-way radios and communications for emergency services, aircraft and ships.
  • Radio astronomy. Astronomers detect radio waves given off by objects in space.
  • Aerials that match the signal. Radio waves can be polarised, so a receiving aerial works best lined up with the transmitter's, as the polarisation guide explains.

Radio waves pass through the atmosphere easily. AQA's list of electromagnetic waves with hazardous effects on body tissue covers ultraviolet, X-rays and gamma rays, not radio waves.

Radio wave calculations

All radio waves obey the wave equation, with the wave speed equal to the speed of light:

v=f\lambda

Example 1: an FM radio wavelength

OpenStax gives the FM radio band as 88 to 108 MHz. Find the wavelength of a 100 MHz signal.

λ = v ÷ f = 3.0 × 10⁸ ÷ 1.00 × 10⁸ = 3.0 m.

Example 2: a long-wave frequency

A long-wave radio signal has a wavelength of 1500 m. Find its frequency.

f = v ÷ λ = 3.0 × 10⁸ ÷ 1500 = 200 000 Hz = 200 kHz.

Example 3: a signal from a satellite

A radio signal travels 36 000 km from a satellite to the ground. How long does it take?

t = distance ÷ speed = 3.6 × 10⁷ ÷ 3.0 × 10⁸ = 0.12 s.

practice
Pick an answer, then check it.
Which statement about radio waves is correct?

Radio waves vs sound waves

Radio wavesSound waves
TypeElectromagnetic, transverseMechanical, longitudinal
Travel through a vacuum?YesNo
Speed in airAbout 3.0 × 10⁸ m/sAbout 340 m/s

A radio uses radio waves to carry a signal, and the speaker turns it into sound. More on electromagnetic waves in general is in what is an electromagnetic wave.

Common mistakes

  • Calling radio waves sound waves. They are electromagnetic waves; sound is a mechanical wave.
  • Getting the order wrong. Radio waves have the longest wavelength and the lowest frequency.
  • Forgetting unit prefixes. MHz is 10⁶ Hz and kHz is 10³ Hz; convert before using v = fλ.
  • Saying radio waves are ionising. They aren't: only ultraviolet, X-rays and gamma rays are listed as hazardous to body tissue.
  • Saying the receiving aerial reflects the wave. It absorbs it, which induces an alternating current.

The electromagnetic spectrum is covered in the Light and Energy course. For practice in a short timed paper, try today's GCSE Physics Higher or GCSE Physics Foundation paper.

Common questions

What are radio waves?
Electromagnetic waves with the longest wavelengths and lowest frequencies in the electromagnetic spectrum. They are used to carry radio and television signals.
What are radio waves used for?
Radio and television broadcasting, two-way radio communication, and radio astronomy, among other things.
How are radio waves produced?
By oscillations in electrical circuits: an alternating current in a transmitting aerial produces radio waves of the same frequency.
Are radio waves harmful?
AQA's GCSE specification lists ultraviolet, X-rays and gamma rays as having hazardous effects on body tissue; radio waves are not on that list.
How fast do radio waves travel?
At the speed of light: 3.0 × 10⁸ m/s in a vacuum, and almost the same in air.
What is the wavelength of radio waves?
Radio wavelengths are longer than about 0.1 m, and can be many kilometres. An FM signal at 100 MHz has a wavelength of 3.0 m.

Radio waves practice questions

1. A radio wave has a wavelength of 0.50 m. What is its frequency?
f = v ÷ λ = 3.0 × 10⁸ ÷ 0.50 = 6.0 × 10⁸ Hz = 600 MHz.
2. An AM station broadcasts at 1.2 MHz. What is the wavelength?
λ = v ÷ f = 3.0 × 10⁸ ÷ 1.2 × 10⁶ = 250 m.
3. How long does a radio signal take to travel 1200 km?
t = 1.2 × 10⁶ ÷ 3.0 × 10⁸ = 0.004 s = 4 ms.

Revision cards

Say the answer first, then flip the card to check it.

Where to go next

  • Learn it

    Light & Energy

    Waves, photons and the electromagnetic spectrum explained

    Start the course
  • Test it

    GCSE Physics Higher

    A new exam-style paper every day, with instant marking and a mark scheme

    Start today's paper
  • Test it

    GCSE Physics Foundation

    A new exam-style paper every day, with instant marking and a mark scheme

    Start today's paper
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