Wavelength Frequency & Energy Compared

The frequency of a given electromagnetic wave can be calculated by dividing the speed of light in a vacuum (300,000,000 m/s) by its wavelength measured in metres.

Shorter wavelengths = Higher frequency.

Violet has the highest frequency of visible light.

The frequency of a wave is a measurement of the number of waves passing a given point in a given time!

Yes! As the frequency of oscillations of an electromagnetic wave increases the wavelength decreases.

The hertz (symbol: Hz) is a unit used to measure the frequency of electromagnetic waves. It represents the number of wave-cycles per second.

• One hertz is defined as one cycle per second.
• Hertz measure the number of oscillations of the perpendicular electric and magnetic fields in electromagnetic radiation per second.
• Frequency conversions:

• 1 Hertz (Hz) = 1 cycle per second
• 1 Kilohertz (kHz) = 1,000 (thousand) cycles per second
• 1 Megahertz (MHz) = 1,000,000 (million) cycles per second
• 1 Gigahertz (GHz) = 1,000,000,000 (billion) cycles per second
• 1 Terahertz (THz) = 1,000,000,000,000 (trillion )cycles per second

Wavelength is the distance from any point on a wave to the corresponding point on the next wave. This measurement is taken along the middle line of the wave.

• While wavelength can be measured from any point on a wave, it is often simplest to measure from the peak of one wave to the peak of the next, or from the bottom of one trough to the bottom of the next, ensuring the measurement covers a whole wave cycle.
• The wavelength of an electromagnetic wave is usually given in metres.
• The wavelength of visible light is typically measured in nanometres, with 1,000,000,000 nanometres making up a metre.
• Each type of electromagnetic radiation – such as radio waves, visible light, and gamma waves – corresponds to a specific range of wavelengths on the electromagnetic spectrum.

The frequency of electromagnetic radiation (light) refers to the number of wave-cycles of an electromagnetic wave that pass a given point in a given amount of time.

• Frequency is measured in Hertz (Hz) and signifies the number of wave-cycles per second. Sub-units of Hertz enable measurements involving a higher count of wave-cycles within a single second.
• The frequency of electromagnetic radiation spans a broad range, from radio waves with low frequencies to gamma rays with high frequencies.
• The wavelength and frequency of light are closely linked. Specifically, as the wavelength becomes shorter, the frequency increases correspondingly.
• It is important not to confuse the frequency of a wave with the speed at which the wave travels or the distance it covers.
• The energy carried by a light wave intensifies as its oscillations increase in number and its wavelength shortens.

A nanometre (nm) is a unit of length in the metric system, equal to one billionth of a metre (1 nm = 1 × 10⁻⁹ metres). It is commonly used to measure extremely small distances, particularly at the atomic and molecular scale.

• In the context of light and electromagnetic radiation, a nanometre is often used to describe wavelengths of visible light.
  The wavelength of visible light ranges from about 700 nm (red) to 400 nm (violet).
• Nanometres are also used to measure components like the thickness of materials, the size of particles in nanotechnology, and the spacing between atoms in a crystal lattice.

An electronvolt (eV) is a unit of energy commonly used in atomic, nuclear, and particle physics to measure the energy carried by individual particles and electromagnetic radiation. It’s a convenient unit because the energies involved in these fields are much smaller than those we encounter in everyday life.

• Electronvolts can be used to measure the energy of elementary particles, including photons, which are the smallest units of electromagnetic radiation (quanta of the electromagnetic field).
  • One electronvolt is equal to the energy gained by a single electron when it is accelerated across a potential difference of 1 volt.
  • Photons (quanta of light) travelling through this same potential difference would also gain 1 eV of energy.
• The electronvolt is not part of the SI unit system. The SI unit for energy is the joule (J). However, joules are too large for many particle-level interactions.
• 1 electronvolt (eV) is equivalent to approximately 1.602 x 10^-19 joules (J).

Energy is a property of matter and fields, which can be transferred between systems or transformed into different forms but cannot be created or destroyed.

• Everything contains energy including all forms of matter and so all objects.
• Energy is evident in all forms of movement, interactions between, and changes to the forms and properties of matter.
• At an atomic level, energy is evident in the movement of electrons around the nucleus of an atom. Energy is stored in the nucleus of atoms as a result of the forces that bind protons and neutrons together.
• Energy can be transferred between objects, and converted from one form to another, but cannot be created or destroyed.
• Everything in the universe uses energy in one form or another.
• When it comes down to it, matter is energy.
• Light has energy but no mass so does not occupy space and has no volume.
• Energy is often described as either being potential energy or kinetic energy.
• Energy is measured in joules.