Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its .
(i) second permitted energy level to the first level, and
(ii) the highest permitted energy level to the first permitted level.

Explanation

Energy of an electron in nth permitted energy level is given by `E_(n th) = (13.6)/(n^(2)) eV`
Energy of photon produced due to transition of an electron from second permitted energy level to the first level ` E = E_(2) = - (13.6)/((2)^(2)) = (-(13.6)/((1)^(2)))eV = 10.4 eV`
and energy of photon produced due to transition of an electron from highest permitted energy level to the first level to the first level ` E = E - E_(1) = (13.6)/((oo)^(2)) - (-(13.6)/(1))eV = 13.6eV`
`rArr " " (E)/(E) = (10.4)/(13.6) = (3)/(4)`