A free hydrogen atom in its ground state is at rest. A neutron having kinetic energy `k_(0)` collides head one with the atom. Assume that mass of both neutron and the atom is same.
(a) Find minimum value of `k_(0)` so that this collision can be inelastic.
(b) If `k_(0) = 25 eV`, find the kinetic energy of neutron after collision if its excites the hydrogen atom to its second excited state.
Take ionization energy of hydrogen atom in ground state to be `13.6 eV`.
