All bodies emit radiation
Definition
Thermal radiation
Electromagnetic radiation emitted by an object because of its temperature.
- Every object, whatever its temperature, emits electromagnetic radiation.
- The particles in every object are constantly moving, and this motion causes the object to give out electromagnetic radiation.
- Radiation emitted by an object because of its temperature is called thermal radiation.
- Objects at everyday temperatures, such as you, a cup of tea or a brick wall, emit mainly infrared radiation.
- Infrared is invisible to the human eye, which is why most objects around you do not appear to glow even though they are emitting radiation all the time.
- Thermal imaging cameras detect this infrared, which is how they can show people and animals in complete darkness.
- Even very cold objects, such as an ice cube or a comet far from the Sun, still emit some radiation.
A continuous range of wavelengths
Definition
Continuous spectrum
A spread of radiation covering an unbroken range of wavelengths and frequencies with no gaps.
Definition
Peak wavelength
The wavelength at which an object emits radiation with the greatest intensity.
- A hot object does not emit radiation of just one wavelength.
- Instead it emits a continuous range of wavelengths and frequencies, with no gaps between them.
- The different wavelengths carry different amounts of energy, with shorter-wavelength, higher-frequency radiation carrying more energy.
- The radiation is not spread evenly across this range, because some wavelengths are emitted much more strongly than others.
- A graph of intensity against wavelength shows a smooth curve that rises to a peak and then falls away.
- The wavelength at the top of the curve is the peak wavelength, where the object emits most strongly.
- The curve falls steeply on the short-wavelength side of the peak and more gradually on the long-wavelength side.
Hotter bodies emit more intensely
Definition
Intensity
The energy transferred by radiation each second through each square metre of a surface.
- As the temperature of an object rises, it emits more radiation at every wavelength.
- The whole intensity curve therefore becomes taller, and the area under it, which represents the total energy emitted each second, becomes much larger.
- A small rise in temperature produces a large rise in the total radiation emitted, so hot objects transfer energy by radiation far faster than cool ones.
- You can feel this near an electric heater, where the radiation reaching your skin becomes much stronger as the heating element warms up.
Hotter bodies emit shorter wavelengths
- As the temperature rises, the peak of the curve moves to shorter wavelengths and higher frequencies.
- A greater share of the radiation is therefore emitted in the visible part of the spectrum, and at very high temperatures in the ultraviolet.
- This explains the changing colour of a steel bar heated in a forge.
- At first the bar emits only infrared, so you can feel its warmth but it does not glow.
- At around 500 ∘C500\ ^\circ\text{C}500 ∘C the bar emits enough red light to glow a dull red.
- As it gets hotter it glows orange and then yellow, and at very high temperatures it looks white because it emits strongly across all the visible colours.
- Stars follow the same pattern, so the colour of a star tells astronomers about the temperature of its surface.
- Cool stars, with surfaces at about 3000 K3000\ \text{K}3000 K, look red, the Sun at about 5800 K5800\ \text{K}5800 K looks yellow-white, and the hottest stars, at 20 000 K20\,000\ \text{K}20000 K or more, look blue.
Example
Reading emission curves for two stars
- Star P has a surface temperature of 3500 K3500\ \text{K}3500 K, and star Q has a surface temperature of 10 000 K10\,000\ \text{K}10000 K.
- Star Q is hotter, so its intensity curve is taller at every wavelength and it emits far more radiation from each square metre of its surface.
- Star Q's peak wavelength is shorter and lies in the ultraviolet, and it emits strongly at the blue end of the visible spectrum, so it looks blue-white.
- Star P's peak wavelength is longer and lies in the infrared, and most of its visible light is at the red end of the spectrum, so it looks red.
Practical
Investigating how emission depends on temperature
- Aim: to find out how the intensity of infrared radiation emitted by a surface changes as the temperature of the surface changes.
- Apparatus: a Leslie cube, which is a hollow metal cube with differently finished faces, a kettle, an infrared detector connected to a meter, a thermometer, a stirring rod, a ruler, a clamp and stand, a heatproof mat and heat-resistant gloves.
- Method:
- Stand the Leslie cube on the heatproof mat and turn it so that its matt black face points towards where the detector will go.
- Clamp the infrared detector so that it faces the centre of the black face at a fixed distance of 10 cm10\ \text{cm}10 cm, measured with the ruler.
- Wearing heat-resistant gloves, fill the cube carefully with freshly boiled water from the kettle.
- Stir the water, wait for the thermometer reading to settle, then record the water temperature and the detector reading together.
- Let the water cool, and record a pair of readings every 5 ∘C5\ ^\circ\text{C}5 ∘C down to about 40 ∘C40\ ^\circ\text{C}40 ∘C, stirring before each one.
- Keep the same face, the same distance and the same detector throughout, and keep other warm objects and draughts away from the apparatus.
- Repeat the whole run and calculate a mean detector reading at each temperature.
- Variables: the independent variable is the temperature of the water, the dependent variable is the detector reading, and the control variables are the type of surface, the distance and the detector.
- Results: the detector reading rises as the temperature rises, showing that a hotter surface emits radiation with a greater intensity.
- Graph: plot the detector reading on the yyy-axis against the temperature on the xxx-axis and draw a smooth curve of best fit, which gets steeper at higher temperatures.
- Watch out: your own body emits infrared too, so stand to one side of the detector, and take each pair of readings quickly so the water does not cool in between.
- Safety: boiling water causes serious scalds, so fill the cube while it stands on the mat, do not move it once it is full, and wear heat-resistant gloves.
- Extension: view a filament lamp connected to a variable power supply through a diffraction grating, and you will see its spectrum change from mostly red to a full spread of colours as the potential difference, and so the filament temperature, is increased.
Common Mistake
- Do not say that only hot objects emit radiation, because all objects emit radiation, even very cold ones.
- Do not say that a hotter object emits only shorter wavelengths, because it emits more at all wavelengths while its peak moves to shorter wavelengths.
- Do not confuse intensity with wavelength, because intensity describes how much radiation is emitted, while wavelength describes what kind of radiation it is.
Exam technique
Describing changes with temperature
- When temperature rises, make two separate points, one about the intensity and one about the wavelength distribution.
- Say that the peak moves to shorter wavelengths, or to higher frequencies, rather than only writing that the radiation gets stronger.
- On an intensity against wavelength graph, the hottest object has the tallest curve with its peak furthest to the left.
- Link colour to temperature in the right order, with red stars the coolest and blue stars the hottest.
Self review
- Which objects emit electromagnetic radiation?
- What type of radiation is mainly emitted by objects at room temperature?
- What is meant by the peak wavelength of an emission curve?
- How does the intensity of emitted radiation change as an object's temperature increases?
- Explain why a steel bar changes from glowing red to glowing white as it is heated.