Question

Hydrogen atoms absorb energy so that electrons can be excited to the n = 5 energy level. Electrons then undergo these transitions, among others:

(a) n = 5 → n = 3 (b) n = 5 → n = 2 (c) n = 4 → n = 1

(i) Which transition produces a photon with the least energy?

(ii) Which transition produces a photon with the highest frequency?

(iii) Which transition produces a photon with the shortest wavelength?

Answer 1

This question can be easily understand and solved by graphical represenfation of energy level of hydrogen. The below Metch energy level diagram in decreasing in space represents the dependence of energy on - 1 1 1 2 2 Eco e na infinity nas n=4 n3 nr 2 nol from the above transition diagram it can be easily understable that nos to r=3 in least Energy Frantition. and n=4 to nas is frighest Energy transition order. esder of Energy transition (n. 5 to n=3) least? 4 to n=1) Highest

order of Energy (n.5 ton 3) < Lowest Energy (n=5 to n=2) <(n= 4 ton = 1) highest Бе) :) As we know t h e energy is directly propestional to frequency i The Highest frequeny is same as having hуси Слез, Т.:ч н ь 1) ва 5243 in And wave length in inverly proportional to Energy E- her transition Howing fighest - (trombition howing Energo Energy) lowest (n=4 to n=1) transition having lowest ale Energy le