What do you think is good ivestigatory project about radiation?

Answer 1

If you are in high school, see if any of your science teachers have any samples of radioactive materials and a Geiger counter.

You can then measure the radiation that comes off the materials at different distances using the Geiger counter. You could also learn about alpha, beta, and gamma radiation, and how to determine what kind of radiation a sample puts out.

Answer 2

The scattering cross section for high energy radiation varies with particle energy. An interesting experiment for a student would be to measure the energy deposited in a biological material (or analogue such as wax) as a function of depth of penetration. As a high energy particle loses energy due to scattering, the cross section increases. This phenomenon is used in radiation therapy to target energy on tissues at a particular depth of penetration.

Answer 3

There's a little book called "Crucial Experiments in Modern Physics", by George L. Trigg. It describes the experiments (and often the very simple apparatus) that were used by such scientists as Rutherford and Soddy to study such things as the tranmutation of elements, the existence of atoms, the particle properties of light, etc.

Get hold of a copy.