Question

- 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 or less than the initial quantum number?
- How is the wavelength of a photon related to its energy?
- Determine the quantum number of the final state and the energy
of the photon when the photon is
- Emitted with a shortest possible wavelength
- Emitted with the longest possible wavelength
- Absorbed with the longest possible wavelength

Answer #1

**Sol:**

**(a)** The quantum number of ground state is 1,
first excited state is 2, second excited state is 3 and third
excited state is 4.

**(b)** When an atom emits a photon, the final
quantum number of the atom will be less than the initial quantum
number. Beacause electron jumps from higher energy level to lower
energy level.

**(c)** When an atom absorbs a photon, the final
quantum number of the atom will be greater than the initial quantum
number. Beacause electron jumps from lower energy level to higher
energy level.

**(d)**

Energy of photon is inversely proportional to wavelength.

Means higher energy photon has smaller wavelength.

**(e)**

i. The final quantum number will be 1.

ii. The final quantum number will be 2, as its initial quantum number is 3.

iii. The final quantum number will be 4, as its initial quantum number is 3.

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...

A hydrogen atom is initially at n=2 excited state and then
absorbs energy 2.55 eV. The excited state is unstable, and it tends
to finally return to its ground state.
(a) How many possible wavelengths will be emitted as the atom
returns to its ground state? draw a diagram of energy levels to
illustrate answer
Answer: (number) ________
(b) Calculate the shortest wavelength emitted.
Answer: ________

A hydrogen atom is initially at n=2 excited state and then
absorbs energy 2.86 eV. The excited state is unstable, and it tends
to finally return to its ground state. 8%
(a) How many possible wavelengths will be emitted as the atom
returns to its ground state? (also draw a diagram of energy levels
to illustrate your answer)
Calculate the second shortest wavelength emitted.

Consider the following four transitions in a hydrogen atom.
(i) ni = 6, nf = 9 (ii) ni = 6, nf = 12 (iii) ni = 10, nf = 12
(iv) ni = 9, nf = 6
(a) Give the wavelength of the longest-wavelength photon that
can be emitted or absorbed by these transitions. m
(b) Give the wavelength of the shortest-wavelength photon that
can be emitted or absorbed by these transitions. m
(c) For which of these transitions does...

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 is in its third excited state. The atom emits a
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The electron in a hydrogen atom falls from an excited energy
level to the ground state in two steps, causing the emission of
photons with wavelengths of 656.5 nm and 121.6 nm (So the in the
first step the 656.5 nm photon is emitted and in the second step
the 121.6 nm photon is emitted). What is the principal quantum
number (ni) of the initial excited energy level from which the
electron falls?

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
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An electron in a hydrogen atom makes a transition from the n =
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