Assignment 4
1. What color of light is emitted when an excited electron in the hydrogen atom falls
from:
a. n = 5 to n = 2 - blue
b. n = 4 to n = 2 – bluish green
c. n = 3 to n = 2 - red
Which transition results in the longest wavelength of light?
–the transition from n = 3 to n = 2, with a wavelength of 656.6639802nm.
2. (a). Why does the Bohr model of hydrogen atom violate the uncertainty principle?
-Heisenberg’s uncertainty principle states that the more we know everything about
where a particle’s position, the less precisely its momentum can be known, and vice
versa. In Bohr’s model, Bohr assumed that there is a fixed orbits and trajectories for
the electron, even though electrons do not travel in fixed orbits and trajectories.
This assumption violates the uncertainty principle as known orbits and trajectories
does not match with its statement.
(b). In what way is the description of the electron using the wave function consistent
with
de Broglie’s hypothesis?
-de Broglie argued that electrons not only act as a particle but can also act as a
wave. The Davisson-Germer experiment, wherein they directed a beam of electrons
at a nickel crystal, shows a diffraction pattern that can only be explained using
wave properties. This confirms de Broglie’s hypothesis, with the diffraction pattern
proving electrons using the wave function.
(c). What is meant by the term probability density?
-Probability density means the measure of the probability that a particle will be
found at a certain location in space. It is represents regions where the electron can
be found.
