A hydrogen like atom (atomic no $$Z$$) is in a higher excited state of quantum number $$n$$. This excited energies $$10.2\ eV$$ and $$17.00\ eV$$ respectively. Alternatively, the atom from the same excited state can make transition to the second excited state by successively emitting $$2$$ photons of energies $$4.25\ eV$$ and $$5.95\ eV$$ respectively. Determine the values of $$n$$ and $$Z$$. (Ionisation energy of Hydrogen atom $$= 13.6\ Ev)$$.