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Radioactivity

Problem 6.234

A stationary Pb200\mathrm{Pb}^{200} nucleus emits an alpha-particle with kinetic energy Tα=5.77MeVT_{\alpha}=5.77 \mathrm{MeV}. Find the recoil velocity of a daughter nucleus. What fraction of the total energy liberated in this decay is accounted for by the recoil energy of the daughter nucleus?

Reveal Answer
v=2mαTα/m=3.4⋅105 m/s;0.020v=\sqrt{2 m_{\alpha} T_{\alpha} / m}=3.4 \cdot 10^{5} \mathrm{~m} / \mathrm{s} ; 0.020
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