Answer: The daughter nuclei is [tex]_{29}^{63}\textrm{Cu}[/tex]
Explanation:
Electron capture is defined as the process in which an electron is drawn to the nucleus where it combines with a proton to form a neutron and a neutrino particle.
[tex]_Z^A\textrm{X}+e^-\rightarrow _{Z-1}^A\textrm{Y}+\gamma e[/tex]
The chemical equation for the reaction of electron capture of Zinc-63 nucleus follows:
[tex]_{30}^{63}\textrm{Zn}+e^-\rightarrow _{29}^{63}\textrm{Cu}+\gamma e[/tex]
The parent nuclei in the above reaction is Zinc-63 and the daughter nuclei produced in the above reaction is copper-63 nucleus.
Hence, the daughter nuclei is [tex]_{29}^{63}\textrm{Cu}[/tex]