A)show that whennbecomes very large, the energy levels of the hydrogen atom are getting closer to energy. b)are the rays of these levels also approaching? c)how can this model give an idea of what happens to the energy levels of an atom or molecule near the ionization threshold?

Answered

Explanation:

Energy of electron in  hydrogen atom is given by

E_n=

now as becomes large

ΔE= E_n+1 - E_n= 18.6 eV(1/n^2- 1/(n+1)^2)

now, as n increases ΔE_n decreases

in the limit n→∞ ,  ΔE_n→0. Thus with increase in n, energy level come close to each other.

b) Since, the wavelength of the rays depends upon the energy level hence they too come closer.

c)Near the ionization threshold the energy level of the atoms come closer and the total energy of the electron becomes almost so that it can be easily removed from the orbit.

1/0.14nm = 10^10/1.4 a lot

do you have a formula possibly