No using radiation in your question was correct. Radiation is basically just moving particles, gamma radiation is an electromagnetic wave (photon), beta radiation is the emission of a charged particle like an electron or positron (similar to an electron but with positive charge) and alpha radiation is basically the core of an helium atom (2 protons and 2 neutrons being ejected at once).
So a radioactive material emits radiation on it’s own, for example because it “decays”, collapses into smaller atoms/cores by emitting energetic particles. Whereas irradiation is the process of exposing a material to radiation. For example you could use an ion beam kind of like a knife in order to carve material into a different from. Though it’s more of a scalpel than a broadsword.
So irradiation is the exposure to radiation, so if you use it as shielding it will inevitably become irradiated, that’s the point. But your question was whether lead itself becomes radioactive in the process.
And for that you’d need to look into what happens to the lead upon irradiation. Is the material absorbed and incorporated, in a way that it changes the state of the lead atom (more specifically the core) and is it going to decay from there again or is it just reflected. And if it changes the state and decays over time, what is the half-life of that reaction so is that a matter of seconds or years.
The difference being that shorter half-lifes lead to high radiation (emission of particles) in a shorter amount of time, but it’s also over faster, while long half-lifes will be radioactive for a long time but usually emit very few particles because of that.
So you’d need to look up what kind of irradiation you’re having and how that effects the lead. Those are information that are usually to be found in tables so you can just look it up.
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