Question
  1. Write the process of $\beta$ decay. How can radioactive nuclei emit $\beta$-particles even though they do not contain them? Why do all electrons emitted during $\beta$-decay not have the same energy? 
  2. A heavy nucleus splits into two lighter nuclei. Which one of the two - parent nucleus or the daughter nuclei has more binding energy per nucleon?

Answer

  1. A nucleus, that spontaneously decays by emitting an electron, or a positron, is said to undergo $\beta$ decay
[Alternatively $ ^{A}_{Z}\text{X}\longrightarrow^{\text{ }\text{ }\text{ }\text{ }\text{ }A}_{Z+1}\text{Y}+e^-+\bar{v}$
$ ^{A}_{Z}\text{X}\longrightarrow^{\text{ }\text{ }\text{ }\text{ }\text{ }A}_{Z-1}\text{Y}+e^++v$ (antineutrino)
During β decay, nucleons undergo transformation. We can have:
${n}\text{ }{\longrightarrow}\text{ }{p}+e^-+{\bar{v}}$
$ \longrightarrow$ A neutron converts into a proton and an electron [Alternatively
${p}\longrightarrow{n}+e^++v$
[A proton converts into a neutron and a positron] It is because the neutrinos, or antineutrino, carry off different amounts of energy.
  1. The daughter nuclei have more binding energy per nucleon.

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