Question 1

What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state ni = 4 jumps to the final state nf = 2?

Accepted Answer

A)  243.1 nm 
B)  556.2 nm 
C)  486.2 nm 
D)  312.2 nm 
E)  609.1 nm 
A)  243.1 nm 
B)  556.2 nm 
C)  486.2 nm 
D)  312.2 nm 
E)  609.1 nm

Question 2

Bohr's atomic theory predicted energy levels for hydrogen of En = -(2 π2 k2 e4 m)/(hn)2. If instead we place 1 electron in "orbit" about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the En formula and why?

Accepted Answer

The attractive force is k(Ze)e

Question 3

In principle, a hologram is a result of which of the following properties of light?

Accepted Answer

A)  Transmission 
B)  Interference 
C)  Refraction 
D)  Reflection 
E)  Dispersion 
A)  Transmission 
B)  Interference 
C)  Refraction 
D)  Reflection 
E)  Dispersion

Question 4

A hydrogen atom is in the 6h state. Determine the principal quantum number.

Accepted Answer

A)  0 
B)  3 
C)  5 
D)  6 
E)  7 
A)  0 
B)  3 
C)  5 
D)  6 
E)  7

Question 5

What is the shortest wavelength of the Lyman series?

Accepted Answer

A)  91.16 nm 
B)  45.60 nm 
C)  121.5 nm 
D)  204.1 nm 
E)  365 nm 
A)  91.16 nm 
B)  45.60 nm 
C)  121.5 nm 
D)  204.1 nm 
E)  365 nm

Question 6

The orbital angular momentum quantum number can take which of the following values for any given value of the principal quantum number, n?

Accepted Answer

A)  ℓ = 0, 1, 2, . . . 
B)  ℓ = 0, 1, 2, . . . , n 
C)  ℓ = 0, 1, 2, . . . , (n - 1) 
D)  ℓ = 1, 2, 3, 4, . . . 
E)  ℓ = 1, 2, 3, 4, . . ., (n + 1) 
A)  ℓ = 0, 1, 2, . . . 
B)  ℓ = 0, 1, 2, . . . , n 
C)  ℓ = 0, 1, 2, . . . , (n - 1) 
D)  ℓ = 1, 2, 3, 4, . . . 
E)  ℓ = 1, 2, 3, 4, . . ., (n + 1)

Question 7

What is the energy of a photon that, when it is absorbed by a hydrogen atom, excites an electron from the ground state of the hydrogen atom to the n = 2 state?

Accepted Answer

A)  10.2 eV 
B)  1.63 × 10-18 J 
C)  1.63 × 10-18 Nm 
D)  All of the answers are correct. 
E)  None of the answers is correct. 
A)  10.2 eV 
B)  1.63 × 10-18 J 
C)  1.63 × 10-18 Nm 
D)  All of the answers are correct. 
E)  None of the answers is correct.

Question 8

What value of n corresponds to a wavelength of 922.7 nm in the Paschen series?

Accepted Answer

A)  3 
B)  5 
C)  7 
D)  9 
E)  15 
A)  3 
B)  5 
C)  7 
D)  9 
E)  15

Question 9

What is the shortest wavelength in the Balmer series?

Accepted Answer

A)  328 nm 
B)  365 nm 
C)  456 nm 
D)  656 nm 
E)  820 nm 
A)  328 nm 
B)  365 nm 
C)  456 nm 
D)  656 nm 
E)  820 nm

Question 10

The constant term in the Balmer series is called the Rydberg constant.

Accepted Answer

A) True 
 B)False

Question 11

Which one of the following is true for the wavelength of the photon emitted when an electron in a hydrogen atom jumps from the ni = 70 state to the nf = 2 state as compared to the wavelength of the photon emitted when the electron jumps from the ni = 4 state to the nf = 2 state?

Accepted Answer

A)  They are equal. 
B)  It is shorter. 
C)  It is longer. 
D)  The wavelength of the photon is not related to the change in state. 
A)  They are equal. 
B)  It is shorter. 
C)  It is longer. 
D)  The wavelength of the photon is not related to the change in state.

Question 12

The maximum number of electron states with a principal quantum number n = 3 is 15.

Accepted Answer

A) True 
 B)False

Question 13

The energy for n = 4 and ℓ = 2 state is greater than the energy for n = 5 and ℓ = 0 state.

Accepted Answer

A) True 
 B)False

Question 14

Which of the following values are associated with the electron spin quantum number, ms?

Accepted Answer

A)  ±1/2 
B)  0 
C)  ±1 
D)  ±2 
E)  ±3 
A)  ±1/2 
B)  0 
C)  ±1 
D)  ±2 
E)  ±3

Question 15

According to one of the assumptions of the Bohr Model, the electron in a hydrogen atom moves in an elliptical orbit about the nucleus.

Accepted Answer

A) True 
 B)False

Question 16

How many values can the magnetic quantum number have in a hydrogen atom in which the electron has the value of the orbital angular momentum quantum number equal to 8?

Accepted Answer

A)  9 
B)  15 
C)  5 
D)  8 
E)  17 
A)  9 
B)  15 
C)  5 
D)  8 
E)  17

Question 17

The state of a hydrogen atom is defined to be a specific assignment of values for each of the four quantum numbers.

Accepted Answer

A) True 
 B)False

Question 18

A hydrogen atom is in the 6h state. Which one of the following is not a magnetic quantum number?

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  4 
E)  6 
A)  0 
B)  1 
C)  2 
D)  4 
E)  6

Question 19

Consider the Bohr Theory Hydrogen atom.
(a) How much energy is needed to cause a transition of an electron from the 2 nd excited state to the 3rd excited state?
(b) What wavelength photon just has enough energy to initiate the transition?

Accepted Answer

(a)0.661 e

Question 20

If a hydrogen atom originally in a state with principal quantum number n is excited to state n' = 2n, then

Accepted Answer

A)  its radius and binding energy will double. 
B)  its radius will quadruple and the binding energy will double. 
C)  its radius will double and the binding energy will quadruple. 
D)  its radius will quadruple and the binding energy will be reduced by a factor of four. 
E)  its radius and binding energy will quadruple. 
A)  its radius and binding energy will double. 
B)  its radius will quadruple and the binding energy will double. 
C)  its radius will double and the binding energy will quadruple. 
D)  its radius will quadruple and the binding energy will be reduced by a factor of four. 
E)  its radius and binding energy will quadruple.

Exam 31: Atomic Physics

What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state ni = 4 jumps to the final state nf = 2?

Bohr's atomic theory predicted energy levels for hydrogen of En = -(2 π2 k2 e4 m)/(hn)2. If instead we place 1 electron in "orbit" about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the En formula and why?

In principle, a hologram is a result of which of the following properties of light?

A hydrogen atom is in the 6h state. Determine the principal quantum number.

What is the shortest wavelength of the Lyman series?

The orbital angular momentum quantum number can take which of the following values for any given value of the principal quantum number, n?

What is the energy of a photon that, when it is absorbed by a hydrogen atom, excites an electron from the ground state of the hydrogen atom to the n = 2 state?

What value of n corresponds to a wavelength of 922.7 nm in the Paschen series?

What is the shortest wavelength in the Balmer series?

The constant term in the Balmer series is called the Rydberg constant.

Which one of the following is true for the wavelength of the photon emitted when an electron in a hydrogen atom jumps from the ni = 70 state to the nf = 2 state as compared to the wavelength of the photon emitted when the electron jumps from the ni = 4 state to the nf = 2 state?

The maximum number of electron states with a principal quantum number n = 3 is 15.

The energy for n = 4 and ℓ = 2 state is greater than the energy for n = 5 and ℓ = 0 state.

Which of the following values are associated with the electron spin quantum number, ms?

According to one of the assumptions of the Bohr Model, the electron in a hydrogen atom moves in an elliptical orbit about the nucleus.

How many values can the magnetic quantum number have in a hydrogen atom in which the electron has the value of the orbital angular momentum quantum number equal to 8?

The state of a hydrogen atom is defined to be a specific assignment of values for each of the four quantum numbers.

A hydrogen atom is in the 6h state. Which one of the following is not a magnetic quantum number?

Consider the Bohr Theory Hydrogen atom. (a) How much energy is needed to cause a transition of an electron from the 2 nd excited state to the 3rd excited state? (b) What wavelength photon just has enough energy to initiate the transition?

If a hydrogen atom originally in a state with principal quantum number n is excited to state n' = 2n, then

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What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state n_i = 4 jumps to the final state n_f = 2?

Bohr's atomic theory predicted energy levels for hydrogen of E_n = -(2 π²k²e⁴ m)/(hn)². If instead we place 1 electron in "orbit" about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the E_n formula and why?

Which one of the following is true for the wavelength of the photon emitted when an electron in a hydrogen atom jumps from the n_i = 70 state to the n_f = 2 state as compared to the wavelength of the photon emitted when the electron jumps from the n_i = 4 state to the n_f = 2 state?

Which of the following values are associated with the electron spin quantum number, m_s?