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Alpha radiation consists of helium nucleus that are (in this context) rather large. This means it is very easily stopped (just a few tens of cm of air will stop it) and when encountering more solid matter, i.e. the skin, its stopped almost immediately. So, alpha radiation (as long as you dont eat some any redioactive material) is pretty harmless.

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What form of ionizing radiatin can penetrate deeply into body tissue?

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