1.

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.

Answer»

Solution : 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 firstlevel ` 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 TOTHE firstlevel ` E = E - E_(1) = (13.6)/((oo)^(2)) - (-(13.6)/(1))eV = 13.6eV`
`RARR "" (E)/(E) = (10.4)/(13.6) = (3)/(4)`


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