Physics

Physics

Problem

30. 88226Ra{ }_{88}^{226} \mathrm{Ra} decays into 86222Rn{ }_{86}^{222} \mathrm{Rn} plus A) a proton B) a neutron C) an electron D) a helium nucleus (24He)\left({ }_{2}^{4} \mathrm{He}\right)
Intuitive explanation

Radioactive decay conserves both mass number (total nucleons) and atomic number (total protons). Start by checking what's missing: the parent Ra has 226 nucleons and 88 protons, while the daughter Rn has 222 nucleons and 86 protons. The difference tells you exactly what particle was emitted—it's a matter of balancing the nuclear equation like you would balance a chemical one.

Intuitive explanation

Radioactive decay conserves both mass number (total nucleons) and atomic number (total protons). Start by checking what's missing: the parent Ra has 226 nucleons and 88 protons, while the daughter Rn has 222 nucleons and 86 protons. The difference tells you exactly what particle was emitted—it's a matter of balancing the nuclear equation like you would balance a chemical one.

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