A nucleus contains no electrons, but can eject them. Why?

A nucleus of "_11N^23 contains:

The hexaquo manganese(II) ion contains five unpaired electrons, while the hexacyanoion contains only one unpaired electron. Explain using Crystal Field Theory.

The extent of localisation of a particle is determined roughly by its de-Broglie wave.If an electron is loclalized within the nucleus (of size about 10^(-14)m) of an atom,what is its energy?Compare this energy with the typicla binding energyies(of the order of a few Me) in a nucleus and hyence argue why electrons cannot reside in a nucleus.

When a nucleus in an atom undergoes a radioactive decay, the electronic energy levels of the atom.

Deduce the expression for the magnetic dipole moment of an electron orbitting around the central nucleus.

An atom of element E contains 3 protons, 3 electrons and 4 neutrons : (d) State whether element E is a metal or non-metal. Why ?

In the angular process an atom makes a transition to a lower state without emitting a photon. The excess energy is transferred to an outer electron which may be ejected by the atom. (This is called an Auger electron). Asusming the nucleus to be massive, calculate the kinetic energy of an n=4 Auger electron emitted by Chromium by absorbing the energy from a n=2 to n=1 transition.