Does the amount of radiation (cpm) change when shielding made from different material is used?

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The type of shielding used to block various kinds of radiation makes a huge difference depending on the type of radiation present.  There are three basic types of radiation: alpha, beta, and gamma.  Alpha radiation produces alpha particles.  This is a relatively weak radiation that can be blocked with a simple sheet of paper.  Beta radiation particles are stronger and will penetrate paper but can be stopped by a thin sheet of metal like aluminum.  Gamma radiation is not composed of particles but electromagnetic photons instead.  It is a much more powerful radiation and requires a lead barrier for effective shielding.  So you can see that the type of shielding used matters greatly on the type of radiation present.

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