Question

1. A hydrogen atom, initially in the first excited state (initial ni = 2), absorbs a photon of wavelength 656.30 nm.

(a) (5) What is the final state ? In other words, solve for the
FINAL nf . Show all work.

(b) (5) What would be the wavelength of a photon, which , when
absorbed by the atom, ionizes an electron from the first excited
level ?

2. X-rays with initial wavelength λ = 0.0665 nm undergo Compton scattering.

(a) (5) At what photon scattering angle Ø is the largest change in wavelength λ’ – λ according to the Compton scattering formula?

(b) (5) What is the final wavelength λ’ of the scattered photon at the angle of part (a)?

3. An electron has a de Broglie wavelength of 2.80x10 -10 m.
Find:

(a) (2) the magnitude p of its momentum

(b) (3) its kinetic energy.

Note: Electron mass = 9.11x10-31 kg.

4. What is the de Broglie wavelength for an electron with speed v = 0.96c?

Hint: Use the correct relativistic expression for linear momentum magnitude p. Note: Electron mass = 9.11x10-31 kg.

Answer #1

A photon of wavelength 5.58 pm scatters at an angle of 122° from
an initially stationary, unbound electron. What is the de Broglie
wavelength(in pm) of the electron after the photon has been
scattered??
Notice: Answer is not (9.29, 2.12, 2.06, nor 4.11)pm
Explanation:
The de Broglie wavelength of a massive particle is related to
its momentum in the same way that a photon's momentum is related to
its wavelength.
The well-known Compton scattering relationship gives the final
wavelength of...

A hydrogen atom (Z = 1) is in the third excited state, and a
photon is either emitted or absorbed. Determine
(a) the quantum number nf of the final state
(b) the energy of the photon when the photon is emitted with the
shortest possible wavelength
(c) the quantum number nf of the final state
(d) the energy of the photon when the photon is emitted with the
longest possible wavelength
(e) the quantum number nf of the final state...

4 a) A hydrogen atom in the ground state absorbs a photon of
wavelength 97.2 nm. What energy level does the electron reach?
b) This excited atom then emits a photon of wavelength 1875.4
nm. What energy level does the electron fall to?

Suppose that an electron is in an excited state of a Hydrogen
atom at the n = 4 energy level. (a) How
many different states are available for that electron to
occupy?(b) Suppose that the electron falls
directly to the ground state, causing a single photon to be
released from the atom. What is the photon’s wavelength?
(c) After its release, the photon collides with an
electron at rest, and scatters off at a 60o angle with
respect to its...

Suppose that an electron is in an excited state of a Hydrogen
atom at the n = 4 energy level.
(a) How many different states are available for
that electron to occupy?
(b) Suppose that the
electron falls directly to the ground state, causing a single
photon to be released from the atom. What is the photon’s
wavelength?
(c) After its
release, the photon collides with an electron at rest, and scatters
off at a 60o angle with respect to...

1) If initially a photon has a wavelength of λ = 1 nm, and
assuming that every time the photon scatters it is off a stationary
electron, what is the minimum number of Compton scattering events
it would take to increase the wavelength by a factor of 5?

1. a. A photon is absorbed by a hydrogen atom causing an
electron to become excited (nf = 6) from the ground state electron
configuration. What is the energy change of the electron associated
with this transition?
b. After some time in the excited state, the electron falls from
the n = 6 state back to its ground state. What is the change in
energy of the electron associated with this transition?
c. When the electron returns from its excited...

A hydrogen atom in the ground state absorbs a photon of
wavelength 95.0 nm.
What energy level does the electron reach?
This excited atom then emits a photon of wavelength 434.1 nm.
What energy level does the electron fall to?
-I know this question has already been asked on Chegg but each
question I go to has different calculations and I can't get the
right answer.

A hydrogen atom is in its third excited state. The atom emits a
1.88E+3nm wavelength photon. Determine the maximum possible orbital
angular momentum of the electron after emission. Express your
answer as multiples of hbar.

A hydrogen atom (Z=1) is in the third excited state. It makes a
transition to a different state, and a photon is either emitted or
absorbed. Answer the following conceptual questions:
What is the quantum number of the third excited state?
When an atom emits a photon, is the final quantum number of the
atom greater than or less than the initial quantum number?
When an atom absorbs a photon, is the final quantum number of
the atom greater than...

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