The Electromagnetic Spectrum (WJEC GCSE Physics: Combined Science)

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The Electromagnetic Spectrum

  • The electromagnetic spectrum (em) is a collection of waves that share the following properties:
    • They are all transverse
    • They can all travel through a vacuum
    • They all travel at the same speed in a vacuum
    • They all transfer energy
  • There are 7 types of electromagnetic waves, which all together form a continuous spectrum
  • The electromagnetic spectrum is arranged in a specific order based on the wavelengths or frequencies

The Electromagnetic Spectrum from Longest Wavelength to Shortest Wavelength

EM spectrum diagram, downloadable AS & A Level Physics revision notes

Visible light is just one small part of a much bigger spectrum: The electromagnetic spectrum

  • The relationship between frequency and wavelength of waves across the electromagnetic spectrum is
    • The higher the frequency, the shorter the wavelength
    • The lower the frequency, the longer the wavelength
  • This means that radio waves have a lower frequency, and a longer wavelength than UV waves
  • This can be seen from the wave equation

v space equals space f space lambda

  • Where:
    • v = speed of the wave in metres per second (m/s)
    • f = frequency of the wave in hertz (Hz)
    • lambda = wavelength of the wave in metres (m)
  • Since all electromagnetic waves travel at the speed of light in a vacuum, this is constant
    • Therefore, in the equation, in keeping v constant, if f increases then λ must decrease

Relationship Between Wavelength and Frequency

Frequency and wavelength

The larger the wavelength, the lower the frequency. The speed remains the same

  • The higher the frequency, the higher the energy of the wave
  • Waves with higher energy are:
    • Highly ionising
    • Harmful to cells and tissues causing cancer (e.g. UV, X-rays, Gamma rays)
    • For more information, see our revision note on Radiation

  • Waves with lower energy are:
    • Useful for communications and they are used to transmit information, for example: 
      • Radio waves are used in long-range communications, such as for radio and television
      • Microwaves are used in mobile phones and satellite communications as they can penetrate the Earth's surface
      • Infra-red waves and visible light are used in optical fibres as they can undergo total internal reflection
    • Less harmful to humans

Worked example

One region of the electromagnetic spectrum has wavelengths in the range 1cross times10-11 to 1cross times10-9 m. The wave speed of electromagnetic waves is 3cross times108 m/s.

Calculate the maximum frequency of this region of the electromagnetic spectrum.

Answer:

Step 1: Deduce the wavelength which would have the maximum frequency within this range

  • The maximum frequency will have the shortest wavelength
  • The shortest wavelength in this region is 1cross times10-11 m

Step 2: List the known quantities

  • Wavelength, lambda = 1cross times10-11 m
  • Wave speed = 3cross times108 m/s

Step 3: Write out the equation relating wave speed, frequency and wavelength

nu space equals space f space lambda

Step 4: Rearrange for frequency and calculate the answer

f space equals space nu over lambda

f space equals space fraction numerator 3 cross times 10 to the power of 8 over denominator 1 cross times 10 to the power of negative 11 end exponent end fraction

f space equals space 3 cross times 10 to the power of 19 space Hz space

Exam Tip

Foundation Tier students would be provided with the rearranged equation but Higher Tier students would be expected to rearrange this.

If you are not quite sure which wavelength would give the maximum frequency, you could calculate the frequency for both the shortest and longest wavelength to see which one gives the maximum value.

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Caroline

Author: Caroline

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.