UO Laboratory Experiment: Inverse Square Law of Heat

OBJECTIVE

To show that the intensity of radiation on a surface is inversely proportional to the square of the distance of the surface from the radiation source

MATERIALS AND APPARATUS
  • Radiometer
  • Heat source
Figure 1. Thermal Radiation Unit


SUMMARY OF THEORY

 Any point source which spreads its influence equally in all directions without a limit to its range will obey the inverse square law. This comes from strictly geometrical considerations. The intensity of the influence at any given radius r is the source strength divided by the area of the sphere. Being strictly geometric in its origin, the inverse square law applies to diverse phenomena.
As one of the fields which obey the general inverse square law, a point radiation source can be characterized by the relationship below whether you are talking about Roentgens, rads or rems. All measures of exposure will drop off by inverse square law.


The source is described by a general "source strength" S because there are many ways to characterize a radiation source - by grams of a radioactive isotope, source strength in Curies, etc. For any such description of the source, if you have determined the amount of radiation per unit area reaching 1 meter, then it will be one fourth as much at 2 meters.