Answer:
a) What is the energy of the n = 5 level?

(b) Calculate the wavelength and frequency of a photon emitted when an electron jumps down from n = 5 to n = 1 in a H atom.
,

Step-by-step explanation:
The permitted energy for the atom of hydrogen according with the Bohr's model is defined as:
(1)
Or it can be expressed in Joules, since


Where the value
represents the energy of the ground state¹ and n is the principal quantum number.
a) What is the energy of the n = 5 level?
For the case of
:


So the energy of the
level is
.
(b) Calculate the wavelength and frequency of a photon emitted when an electron jumps down from n = 5 to n = 1 in a H atom.
The wavelength can be determined by means of the Rydberg formula:
(2)
Where R is the Rydberg constant, with a value of

For this particular case
and
:




Where

.


The frequency can be found by means of:
(3)
Equation (3) can be rewritten in terms of
:


Where


Key terms:
¹Ground state: State of minimum energy.