## Related questions with answers

Write down an equation [similar to the above Eqution] to describe the $\beta$ decay of each of the following nuclei: (a) ${ }^{60} \mathrm{Co}$, (b) ${ }^3 \mathrm{H}$ (tritium), (c) ${ }^{15} \mathrm{O}$, and (d) the decay by electron capture of ${ }^{231} \mathrm{U}$.

Solution

VerifiedWhen we say $\beta$ decay, we assume it to be $\beta^-$ decay. In a $\beta^-$ decay, a neutron decays into a proton, electron, and an antineutrino. Thus for a nucleus, a $\beta$ decay increases the proton number by $1$, and decreases the neutron number by $1$ as in the equation:

$(Z,N)\rightarrow(Z+1,N-1)+e^-+\bar{\nu}$

In this exercise we write down equations for the $\beta$ decay for $^{60}\text{Co}$, $^{3}\text{H}$, $^{15}\text{O}$, and the electron capture of $^{231}\text{U}$ which is essentially the reverse of $\beta$ decay.

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