All Problems

Radioactivity

Problem 6.238

Find the energy \(Q\) liberated in \(\beta\) - - and \(\beta^{+}\) -decays and in \(K\) -capture if the masses of the parent atom \(M_{p},\) the daughter atom \(M_{d}\) and an electron \(m\) are known.

Reveal Answer
Q={(Mp−Md)c2 for β−decay and K -capture, (Mp−Md−2m)c2 for β+decay Q=\left\{\begin{array}{l} \left(M_{p}-M_{d}\right) c^{2} \text { for } \beta^{-} \text {decay and } K \text { -capture, } \\ \left(M_{p}-M_{d}-2 m\right) c^{2} \text { for } \beta^{+} \text {decay } \end{array}\right.
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