5.3

Thermal radiation

How the surface of a body affects the infrared radiation it emits and absorbs, perfect black bodies, and the balance between the power radiated and the power absorbed that sets the temperature of an object and of the Earth.

About 11 minutes to read

5.15P, 5.19PEmission and absorption of infrared radiation

Physics only — not on the Combined Science specification

All bodies — objects — no matter what temperature, emit and absorb infrared radiation. The hotter the body, the more infrared radiation it radiates in a given time.

The phrase "no matter what temperature" is worth pausing on. A cold object still emits infrared; it simply emits less than a hot one. Nothing has to be glowing, or even warm, to be radiating.

A perfect black body is an object that absorbs all of the radiation incident on it. A black body does not reflect or transmit any radiation. Since a good absorber is also a good emitter, a perfect black body would be the best possible emitter.

Figure: How surfaces behave
A good absorber is always a good emitter, which is why the first two columns run together.

Common mistake

A perfect black body is defined by absorbing all radiation, not by looking black. A star is close to a black body and is extremely bright — because a perfect absorber is also the best possible emitter.

Infrared radiation
radiation emitted and absorbed by all bodies whatever their temperature; the hotter the body, the more it radiates in a given time

5.15PPerfect black bodies and radiation

Physics only — not on the Combined Science specification

You should be able to explain:

• that all bodies (objects) emit radiation • that the intensity and wavelength distribution of any emission depends on the temperature of the body.

Two things change together as a body gets hotter. The intensity increases — it radiates more energy in a given time. And the wavelength distribution shifts, so that more of the radiation is emitted at shorter wavelengths.

That shift is why a piece of metal heated in a flame first radiates only infrared, which you feel but cannot see, then glows dull red, then orange, then white as it gets hotter still. The peak of its emission has moved through the visible range.

Perfect black body
an object that absorbs all of the radiation incident on it, reflecting and transmitting none, and which is also the best possible emitter

5.16P–5.18PThe balance between absorption and emissionHigher tier

Physics only, and Higher tier only — not on the Combined Science specification

A body at constant temperature is absorbing radiation at the same rate as it is emitting radiation. The temperature of a body increases when the body absorbs radiation faster than it emits radiation.

So temperature is not about how much radiation arrives, but about the balance between what arrives and what leaves:

• absorbing faster than emitting — the temperature rises • emitting faster than absorbing — the temperature falls • the two rates equal — the temperature stays constant.

And because a hotter body emits more, a body warming up moves towards balance on its own: as its temperature rises, its rate of emission rises until it matches the rate of absorption, and the temperature then settles.

The temperature of the Earth depends on many factors including the rates of absorption and emission of radiation, and reflection of radiation into space.

You should be able to explain how the temperature of a body is related to the balance between incoming radiation absorbed and radiation emitted, using everyday examples to illustrate this balance, and the example of the factors which determine the temperature of the Earth. You should also be able to use information, or draw and interpret diagrams, to show how radiation affects the temperature of the Earth's surface and atmosphere.

The Earth's balance, in order:

1. Radiation arrives from the Sun, mostly at short wavelengths. 2. Some is reflected straight back into space by clouds, ice and light-coloured surfaces, and never warms anything. 3. The rest is absorbed by the surface, which warms up. 4. The warmed surface emits radiation of its own, at longer wavelengths — infrared — because it is far cooler than the Sun. 5. Some of that infrared escapes to space; some is absorbed by gases in the atmosphere and re-emitted, partly back towards the surface. 6. The Earth's temperature settles where the rate of emission to space equals the rate of absorption from the Sun.

Anything that changes one side of that balance changes the temperature. More reflective surfaces, such as more ice, mean less absorbed and a cooler Earth. More gases absorbing the outgoing infrared mean less escaping to space, so the Earth must warm until the rates balance again.

Worked example

Explain, in terms of absorption and emission, why the Earth's surface is warmer during the day than at night.

  1. During the day the surface both absorbs radiation from the Sun and emits its own radiation.
  2. The rate of absorption is greater than the rate of emission, so the temperature rises.
  3. At night there is no incoming solar radiation to absorb.
  4. The surface continues to emit radiation, so it is now emitting faster than it absorbs.
  5. Emitting faster than absorbing means the temperature falls.

Answer: By day absorption exceeds emission, so the surface warms; by night there is nothing to absorb but it keeps emitting, so emission exceeds absorption and it cools.

Common mistake

A body at constant temperature is not one that has stopped emitting. It is emitting and absorbing at equal rates — the balance is dynamic, not an absence of activity.

Before you practise

  • Every body emits and absorbs infrared radiation, whatever its temperature.
  • Matt black surfaces are the best emitters AND the best absorbers; shiny light ones are the worst at both.
  • The hotter the body, the more radiation it emits and the shorter the peak wavelength.
  • A perfect black body absorbs all the radiation that hits it and is the best possible emitter.
  • Temperature is constant when the power radiated equals the power absorbed.
  • Absorb more than you emit and the temperature rises; emit more than you absorb and it falls.
  • The Earth's temperature is set by that balance between incoming solar radiation and outgoing infrared.

Now practise it

Reading is the easy half. Answer questions on 5.3 Thermal radiation and find out which parts you actually know.