Calculate the approximate size of an excited hydrogen atom that
emits at 408 MHz. One method...
Calculate the approximate size of an excited hydrogen atom that
emits at 408 MHz. One method for solving this is to calculate an
expectation value using the true radial wavefunction.
Solutions
Expert Solution
Answers and Explanations are given in the following
figures:
A hydrogen atom emits a photon when its electron falls from its
3rd excited state (?=4) to its first excited state (?=2).
Another electron in a box with sides of infinite potential
absorbs the photon and jumps from the ground state (?=1) to the 5th
excited state (?=6).
a. [2] What is the wavelength of the
emitted photon? (Calculate this, don’t just look it up)
b. [3] What is the length of the
box?
c. [3] Using the fact that...
Explain Bohr’s Theory of the Hydrogen Atom. When a hydrogen
atom does absorbs or emits radiant energy? What kinds of spectrum
is created when we observe the emission and absorption of radiant
energy from a hydrogen atom? What significance these spectra
have?
a. A relatively rare transition of the hydrogen atom emits a
radio photon with with ? = 21 cm. This emission line is extremely
important to astronomers for two main reasons: it cuts through most
gas and dust without being absorbed and, although transition is
rare, there is so much hydrogen in space that the 21 cm photons are
themselves quite common. Suppose that one such photon from a
distant galaxy is measured to have a wavelength of just 11...
A hydrogen atom
(Z = 1)
is in the fourth excited state, and a photon is either emitted
or absorbed.
Concepts:
(i) What is the quantum number of the fourth excited state?
12 345
(ii) When an atom emits a photon, is the final quantum number
nf
of the atom greater than or less than the initial quantum
number ni?
greater thanless than
(iii) When an atom absorbs a photon, is the final quantum
number
nf
of the atom greater than...
In the Bohr model of the hydrogen atom, an electron in the
7th excited state moves at a speed of
4.47 104 m/s in a circular path of radius
2.59 10-9 m. What is the effective current
associated with this orbiting electron? .....mA
An Electron initially in the n=2 state of a hydrogen atom is
excited by a photon to the n=5 state.
a. What is the energy of the excitatoin photon?
b. As the atom relaxes, the electron transitions to the ground
state. What is the energy of the photon released during the
electron transition?
c. What is the frequency of the released photon?
d. What is the name of the scientist who first modeled the atom
as a miniature solar system?
If a single electron in an excited hydrogen atom is
occupying the 3rd energy level and then relaxes back to
the ground state, how much energy is released in the form of
electromagnetic radiation?
An electron in a hydrogen atom is excited from the n = 1 ground state to the n = 4 excited state. Classify the statements about this absorption and emission process as true or false. True On average, the electron is closer to the nucleus in the n = 4 state than in the n = 1 state. The wavelength of light absorbed when the electron is excited from the ground state to n = 4 is the same as the wavelength of...
Which of the following electron jumps in a hydrogen
atom emits the photon of highest frequency?
a) n=2 to n=3
b) n=1 to n=2
3) n=3 to n=2
4) n=2 to n=1
A hydrogen atom is in its second excited state, n =
3.
PART A
Using the Bohr model of hydrogen, find the linear momentum.
PART B
Using the Bohr model of hydrogen, find the angular momentum of
the electron in this atom.