Respuesta :
Using the Bohr model, we can calculate what photons were absorbed giving transitions in the Hydrogen atom; the correct answer is
The photon to be absorbed are: 2.00 10⁻¹⁹ J, Balmer serie in the visible
1.00 10⁻¹⁹ J, Paschem serie in infrared
The other photons cannot be absorbed
The energy of the photons is given by the PlanK equation
E = h f
where h is Plank's constant and f is the frequency of the photons
For the absorption by an atom, the photons must have an energy equal to greater than the difference in energy of the levels involved, in case the energy of the detachment of an electron must be greater than or equal to the ionization energy.
In this exercise it is not indicated which specific atom is being analyzed, but the most common of them is Hydrogen.
The ionization energy of hydrogen is
E = 13.6 eV (1.6 10-19 J / 1 eV) = 21.76 10-9 J
in atomic transitions it is ususal to work in units of lectronVolts and if necessary reduce to Joule.
when checking the given values none of these photons can ionize the hydrogen atom.
The energy of the atomic levels is given by the Bohr model for the hydrogen atom
E = [tex]- \ \frac{13.606}{n^2}[/tex] [eV]
where n is a number in between and the amount in brackets are units , therefore the transition between two levels is given by
ΔE = 13.606 ( [tex]\frac{1}{n_o^2} - \frac{1}{n_f^2}[/tex] ) [eV]
where n₀ and n_f are integers corresponding to the initial and final states of the transition, in the table we see the values for several transitions
n₀ n_f ΔE [eV] ΔE [10⁻¹⁹ J]
1 2 10.2 16.3
2 3 1.89 3.0
3 4 0.66 1.1
let's compare these results with the energies of the incident photons
a) the photon of 2.00 10⁻¹⁹ j
can give transition between the state n = 2 and n = 3 that corresponds to the Balmer series, in the visible of the electromagnetic spectrum
b) the photon of 1.00 10⁻¹⁹ J
It is absorbed giving transitions between levels n = 3 to n = 4 which corresponds to a Paschem series in the infrared of the electromagnetic spectrum
c) photons 8 10-19, 7 10-19 and 9 10-19 J
they cannot be absorbed by the hydrogen atom and they do not correspond to any permitted transition according to the Bohr model.
Learn more about the Bohr model here:
https://brainly.com/question/13606024
