The radioactive isotope \(_{27}^{60}\textrm{Co}\) which is used in the treatment of cancer can be made by (n, p) reaction. For this reaction the target nucleus is
\(_{27}^{59}\textrm{Co}\)
\(_{28}^{60}\textrm{Ni}\)
\(_{27}^{60}\textrm{Co}\)
\(_{28}^{59}\textrm{Ni}\)
The given problem relates to nuclear reactions and specifically involves understanding the formation of a radioactive isotope used in cancer treatment, \(_{27}^{60}\textrm{Co}\), through an (n, p) reaction. The focus here is to determine the target nucleus suitable for this reaction.
An (n, p) reaction involves a neutron hitting a nucleus and a proton being emitted as a result. In this type of nuclear reaction, a neutron is absorbed by a nucleus and a proton is ejected. For the given isotope \(_{27}^{60}\textrm{Co}\), the reaction can be denoted as follows:
| \({_{Z}^{A}\textrm{X}} + _{0}^{1}\textrm{n} \rightarrow _{Z-1}^{A}\textrm{Y} + _{1}^{1}\textrm{p}\) |
Substituting into this equation to form \(_{27}^{60}\textrm{Co}\), the equation becomes:
| \({_{27}^{59}\textrm{Co}} + _{0}^{1}\textrm{n} \rightarrow _{27}^{60}\textrm{Co} + _{1}^{1}\textrm{p}\) |
From the equation above, we see that the starting or target nucleus is \(_{27}^{59}\textrm{Co}\). This is because a neutron is added to \(_{27}^{59}\textrm{Co}\), converting it to \(_{27}^{60}\textrm{Co}\), while a proton is released in the process.
Now, let's analyze why the other options are incorrect:
Therefore, the correct answer is \(_{27}^{59}\textrm{Co}\), as this nucleus successfully participates in the (n, p) reaction to produce the desired radioactive isotope, \(_{27}^{60}\textrm{Co}\).