Question 1

The allowed values of   for the n = 3 shell in a Li2+ ion are

Accepted Answer

A)  1, 2 
B)  0, 1 
C)  0, 1, 2 
D)  0, 1, 2, 3 
E)  1, 2, 3 
A)  1, 2 
B)  0, 1 
C)  0, 1, 2 
D)  0, 1, 2, 3 
E)  1, 2, 3 C

Question 2

For the following allowed transitions, which photon would have the largest wavelength when an electron "jumps" from one energy level, characterized by the quantum number n, to another?

Accepted Answer

A)  n = 2 to n = 1 
B)  n = 3 to n = 2 
C)  n = 3 to n = 1 
D)  n = 1 to n = 3 
E)  n = 4 to n = 1 
A)  n = 2 to n = 1 
B)  n = 3 to n = 2 
C)  n = 3 to n = 1 
D)  n = 1 to n = 3 
E)  n = 4 to n = 1 B

Question 3

The probability density for the 1s state is given by |Ψ1s|2. The probability of finding the particle somewhere in space is

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E) 
  A

Question 4

When electrons fill a subshell in which the orbitals have equal energy, the order in which the orbitals are filled is such that

Accepted Answer

A)  a minimum number of electrons has unpaired spins. 
B)  a minimum number of electrons has intrinsic angular momentum. 
C)  a maximum number of electrons has unpaired spins. 
D)  a maximum number of electrons first fills the next energy level. 
E)  the maximum number of electrons has the same set of quantum numbers. 
A)  a minimum number of electrons has unpaired spins. 
B)  a minimum number of electrons has intrinsic angular momentum. 
C)  a maximum number of electrons has unpaired spins. 
D)  a maximum number of electrons first fills the next energy level. 
E)  the maximum number of electrons has the same set of quantum numbers.

Question 5

All quantum states forming a sub-shell have the same

Accepted Answer

A)  principal quantum number n. 
B)  orbital quantum number
  . 
C)  orbital magnetic quantum number
  . 
D)  n,
  and
  
E)  n and
  only. 
A)  principal quantum number n. 
B)  orbital quantum number
  . 
C)  orbital magnetic quantum number
  . 
D)  n,
  and
  
E)  n and
  only.

Question 6

The number of electrons in the n = 4,   = 2 subshell in strontium (Z = 38) is ____ the number of electrons in the n =4,   =2 subshell in barium (Z = 56).

Accepted Answer

A) 
  times 
B) 
  times 
C)  equal to 
D) 
  times 
E) 
  times 
A) 
  times 
B) 
  times 
C)  equal to 
D) 
  times 
E) 
  times

Question 7

When using the Pauli Exclusion Principle, we assume the particle's spin angular momentum is of magnitude

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  ±
  
E) 
  
A) 
  
B) 
  
C) 
  
D)  ±
  
E)

Question 8

Of the following states, 5s, 3p, 4f, 5p, 4g, 3d, and 2p, the one which is NOT allowed is

Accepted Answer

A)  3p 
B)  4f 
C)  3d 
D)  4g 
E)  2p 
A)  3p 
B)  4f 
C)  3d 
D)  4g 
E)  2p

Question 9

In 1921, Stern and Gerlach performed an experiment that first demonstrated

Accepted Answer

A)  orbital angular momentum quantization 
B)  energy quantization 
C)  space quantization 
D)  magnetic orbital quantization 
E)  that particles behave like waves 
A)  orbital angular momentum quantization 
B)  energy quantization 
C)  space quantization 
D)  magnetic orbital quantization 
E)  that particles behave like waves

Question 10

What wavelength (in μm) is associated with the Paschen series for n = 4?
(RH = 1.097 × 107 m−1)

Accepted Answer

A)  320 
B)  530 
C)  2.7 
D)  1.9 
E)  0.5 
A)  320 
B)  530 
C)  2.7 
D)  1.9 
E)  0.5

Question 11

In an atom that has an electron in a sub-shell for which   = 4, with respect to the magnetic field vector   the magnetic moment vector   of the electron is allowed to be oriented in

Accepted Answer

A)  any direction. 
B) 
  discrete directions 
C) 
  − 1 discrete directions. 
D) 
  + 1 discrete directions. 
E)  2
  + 1 discrete directions. 
A)  any direction. 
B) 
  discrete directions 
C) 
  − 1 discrete directions. 
D) 
  + 1 discrete directions. 
E)  2
  + 1 discrete directions.

Question 12

An electron is moving at a speed of 2.1 × 106 m/s in the first Bohr orbit. Determine its de Broglie wavelength.

Accepted Answer

A)  0.30 × 10−10 m 
B)  1.7 × 10−10 m 
C)  0.50 × 10−10 m 
D)  3.5 × 10−10 m 
E)  1.5 × 10−10 m 
A)  0.30 × 10−10 m 
B)  1.7 × 10−10 m 
C)  0.50 × 10−10 m 
D)  3.5 × 10−10 m 
E)  1.5 × 10−10 m

Question 13

In terms of a0, where a0 = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by rn =

Accepted Answer

A) 
  . 
B) 
  . 
C) 
  . 
D)  na0. 
E)  n2a0. 
A) 
  . 
B) 
  . 
C) 
  . 
D)  na0. 
E)  n2a0.

Question 14

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   is   . Which one, if either, is correct, and why?

Accepted Answer

A)  Ruth, because the maximum value of L is
  . 
B)  Ruth, because the orbital angular momentum always lines up with a magnetic field so that
  has its maximum value along the field. 
C)  Zeke, because the maximum magnitude of
  is L =
  . 
D)  Zeke, because the orbital angular momentum always lines up with a magnetic field so that
  has its maximum value along the field. 
E)  Neither, because they have interchanged the maximum magnitude of
  ,
  , and
  , its maximum projection along a magnetic field direction. 
A)  Ruth, because the maximum value of L is
  . 
B)  Ruth, because the orbital angular momentum always lines up with a magnetic field so that
  has its maximum value along the field. 
C)  Zeke, because the maximum magnitude of
  is L =
  . 
D)  Zeke, because the orbital angular momentum always lines up with a magnetic field so that
  has its maximum value along the field. 
E)  Neither, because they have interchanged the maximum magnitude of
  ,
  , and
  , its maximum projection along a magnetic field direction.

Question 15

The Pauli Exclusion Principle states

Accepted Answer

A)  no two electrons in the same atom can have the same set of quantum numbers. 
B)  there is an inherent uncertainty in the position and momentum of a particle. 
C)  when an atom has orbitals of equal energy, the maximum number of electrons will have unpaired spins. 
D)  when an atom has orbitals of equal energy, the maximum number of electrons will be paired spins. 
E)  no two atoms can have the same set of quantum numbers. 
A)  no two electrons in the same atom can have the same set of quantum numbers. 
B)  there is an inherent uncertainty in the position and momentum of a particle. 
C)  when an atom has orbitals of equal energy, the maximum number of electrons will have unpaired spins. 
D)  when an atom has orbitals of equal energy, the maximum number of electrons will be paired spins. 
E)  no two atoms can have the same set of quantum numbers.

Question 16

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (RH = 1.097 × 107 m−1.)

Accepted Answer

A)  5.65 × 10−13 Hz 
B)  31 Hz 
C)  1.77 × 1012 Hz 
D)  2.55 × 1016 Hz 
E)  1.02 × 1017 Hz 
A)  5.65 × 10−13 Hz 
B)  31 Hz 
C)  1.77 × 1012 Hz 
D)  2.55 × 1016 Hz 
E)  1.02 × 1017 Hz

Question 17

What angle does the orbital angular momentum make with the z axis of a hydrogen atom in the state n = 3,   = 2,   = −1?

Accepted Answer

A)  −66° 
B)  66° 
C)  24° 
D)  114° 
E)  73° 
A)  −66° 
B)  66° 
C)  24° 
D)  114° 
E)  73°

Question 18

A hydrogen atom in the 4f state has a total angular momentum (in terms of   ) of magnitude

Accepted Answer

A)   
B)  3 
C)  6 
D)  12 
A)   
B)  3 
C)  6 
D)  12

Question 19

Forbidden transitions and selection rules suggest that

Accepted Answer

A)  a photon has linear momentum. 
B)  a photon has energy. 
C)  a photon has angular momentum. 
D)  a photon has parity. 
E)  a photon has mass. 
A)  a photon has linear momentum. 
B)  a photon has energy. 
C)  a photon has angular momentum. 
D)  a photon has parity. 
E)  a photon has mass.

Question 20

In a shell of the hydrogen atom with n = 3, the permitted values of the orbital magnetic quantum number   are

Accepted Answer

A)  −1, 0, 1 
B)  2, 1, 0 
C)  2, 1, 0, −1, −2 
D)  0 
E)  3, 2, 1, 0, −1, −2, −3 
A)  −1, 0, 1 
B)  2, 1, 0 
C)  2, 1, 0, −1, −2 
D)  0 
E)  3, 2, 1, 0, −1, −2, −3

Exam 42: Atomic Physics

The allowed values of for the n = 3 shell in a Li2+ ion are

For the following allowed transitions, which photon would have the largest wavelength when an electron "jumps" from one energy level, characterized by the quantum number n, to another?

The probability density for the 1s state is given by |Ψ1s|2. The probability of finding the particle somewhere in space is

When electrons fill a subshell in which the orbitals have equal energy, the order in which the orbitals are filled is such that

All quantum states forming a sub-shell have the same

The number of electrons in the n = 4, = 2 subshell in strontium (Z = 38) is ____ the number of electrons in the n =4, =2 subshell in barium (Z = 56).

When using the Pauli Exclusion Principle, we assume the particle's spin angular momentum is of magnitude

Of the following states, 5s, 3p, 4f, 5p, 4g, 3d, and 2p, the one which is NOT allowed is

In 1921, Stern and Gerlach performed an experiment that first demonstrated

What wavelength (in μm) is associated with the Paschen series for n = 4? (RH = 1.097 × 107 m−1)

In an atom that has an electron in a sub-shell for which = 4, with respect to the magnetic field vector the magnetic moment vector of the electron is allowed to be oriented in

An electron is moving at a speed of 2.1 × 106 m/s in the first Bohr orbit. Determine its de Broglie wavelength.

In terms of a0, where a0 = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by rn =

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector is . Which one, if either, is correct, and why?

The Pauli Exclusion Principle states

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (RH = 1.097 × 107 m−1.)

What angle does the orbital angular momentum make with the z axis of a hydrogen atom in the state n = 3, = 2, = −1?

A hydrogen atom in the 4f state has a total angular momentum (in terms of ) of magnitude

Forbidden transitions and selection rules suggest that

In a shell of the hydrogen atom with n = 3, the permitted values of the orbital magnetic quantum number are

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The allowed values of for the n = 3 shell in a Li²⁺ ion are

The probability density for the 1s state is given by |Ψ₁_s|². The probability of finding the particle somewhere in space is

What wavelength (in μm) is associated with the Paschen series for n = 4? (R_H = 1.097 × 10⁷ m−¹)

An electron is moving at a speed of 2.1 × 10⁶ m/s in the first Bohr orbit. Determine its de Broglie wavelength.

In terms of a₀, where a₀ = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by r_n =

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)