Question

What is the energy of a photon that, when absorbed by a hydrogen atom, could cause an electronic transition from (a) the n=2 state to the n=5 state and (b) the n= 4 state to the n=6 state?

Answer 1

Energy during level transition is given by :

a)

$\Delta E=13.6(\frac{1}{n_1^2}-\frac{1}{n_2^2})=13.6(\frac{1}{4}-\frac{1}{25})=13.6(\frac{21}{100})=2.85eV$

b)

$\Delta E=13.6(\frac{1}{n_1^2}-\frac{1}{n_2^2})=13.6(\frac{1}{16}-\frac{1}{36})=13.6(\frac{20}{576})=0.47eV$