Question 1

An electron in a hydrogen atom makes a transition from the n = 4 to the n = 3 energy state. Determine the energy (in eV) of the emitted photon.

Accepted Answer

A)  0.54 
B)  0.66 
C)  0.85 
D)  1.51 
E)  10.2 
A)  0.54 
B)  0.66 
C)  0.85 
D)  1.51 
E)  10.2

Question 2

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron. Bevis says that it comes from the electron spin. Which one, if either, is correct, and why?

Accepted Answer

A)  Aline, because only atoms, not electrons, can have angular momentum. 
B)  Bevis, because only atoms, not electrons, can have angular momentum. 
C)  Neither, because electron spin and orbital angular momentum always cancel exactly. 
D)  Neither, because the magnetic moment of an atom comes only from the spin of the nucleus. 
E)  Both, because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom. 
A)  Aline, because only atoms, not electrons, can have angular momentum. 
B)  Bevis, because only atoms, not electrons, can have angular momentum. 
C)  Neither, because electron spin and orbital angular momentum always cancel exactly. 
D)  Neither, because the magnetic moment of an atom comes only from the spin of the nucleus. 
E)  Both, because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom.

Question 3

Suppose Bohr had chosen the potential energy of the electron in the hydrogen atom to be V = 0 when the electron is in the orbit with n = 1. He could do this by

Accepted Answer

A)  choosing n = 1 for the orbit where the kinetic energy of the electron is zero. 
B)  adding a constant 13.6 eV to the potential energy for all values of n. 
C)  adding a constant 27.2 eV to the potential energy for all values of n. 
D)  subtracting a constant 13.6 eV from the potential energy for all values of n. 
E)  subtracting a constant 27.2 eV from the potential energy for all values of n. 
A)  choosing n = 1 for the orbit where the kinetic energy of the electron is zero. 
B)  adding a constant 13.6 eV to the potential energy for all values of n. 
C)  adding a constant 27.2 eV to the potential energy for all values of n. 
D)  subtracting a constant 13.6 eV from the potential energy for all values of n. 
E)  subtracting a constant 27.2 eV from the potential energy for all values of n.

Question 4

The ground state configuration of chlorine (Z = 17) is

Accepted Answer

A)  1s2 2s2 2p5 3s2 3p6 
B)  1s2 2s2 2p6 3s2 3p5 
C)  1s2 2s2 2p6 3s2 3p4 3d1 
D)  1s2 2s2 2p6 3s2 3p5 4s1 
E)  1s2 2s2 2p6 3s1 3p7 
A)  1s2 2s2 2p5 3s2 3p6 
B)  1s2 2s2 2p6 3s2 3p5 
C)  1s2 2s2 2p6 3s2 3p4 3d1 
D)  1s2 2s2 2p6 3s2 3p5 4s1 
E)  1s2 2s2 2p6 3s1 3p7

Question 5

An energy of 13.6 eV is needed to ionize an electron from the ground state of a hydrogen atom. Selecting the longest wavelength that will work from the those given below, what wavelength is needed if a photon accomplishes this task?

Accepted Answer

A)  60 nm 
B)  80 nm 
C)  70 nm 
D)  90 nm 
E)  40 nm 
A)  60 nm 
B)  80 nm 
C)  70 nm 
D)  90 nm 
E)  40 nm

Question 6

Which of the following, in which n and m have integer values, is a correct formula for a wavelength emitted by a hydrogen atom?

Accepted Answer

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

Question 7

The magnitude of the spin angular momentum for an electron is equal to

Accepted Answer

A) 
  
B) 
  
C) 
  /2 
D)  ±
  /2 
E) 
  
A) 
  
B) 
  
C) 
  /2 
D)  ±
  /2 
E)

Question 8

All quantum states forming a 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 9

In an allowed electron transition in a hydrogen atom,

Accepted Answer

A)  Δ
  = 0;
  = 0, ±1. 
B)  Δ
  = 0, ±1;
  = ±1. 
C)  Δ
  = 0, ±1;
  = 0, ±1. 
D)  Δ
  = ±1;
  = 0, ±1. 
E)  Δ
  = ±1;
  = ±1. 
A)  Δ
  = 0;
  = 0, ±1. 
B)  Δ
  = 0, ±1;
  = ±1. 
C)  Δ
  = 0, ±1;
  = 0, ±1. 
D)  Δ
  = ±1;
  = 0, ±1. 
E)  Δ
  = ±1;
  = ±1.

Question 10

What value of wavelength is associated with the Lyman series for n = 2?
(RH = 1.097 × 107 m−1)

Accepted Answer

A)  8.2 × 106 m 
B)  1.2 × 10−7 m 
C)  2.7 × 106 m 
D)  3.6 × 10−7 m 
E)  8.8 × 10−7 m 
A)  8.2 × 106 m 
B)  1.2 × 10−7 m 
C)  2.7 × 106 m 
D)  3.6 × 10−7 m 
E)  8.8 × 10−7 m

Question 11

The energy needed to change a He+ ion in the ground state into a He2+ ion is

Accepted Answer

A)  13.6 eV 
B)  54.4 eV 
C)  112.4 eV 
D)  92.9 eV 
E)  27.2 eV 
A)  13.6 eV 
B)  54.4 eV 
C)  112.4 eV 
D)  92.9 eV 
E)  27.2 eV

Question 12

The allowed values of n for the Li2+ ion are

Accepted Answer

A)  1 to ∞ 
B)  2 to ∞ 
C)  3 to ∞ 
D)  any real number 
E)  1 to 10 
A)  1 to ∞ 
B)  2 to ∞ 
C)  3 to ∞ 
D)  any real number 
E)  1 to 10

Question 13

The energy needed to remove an electron from the first excited state of a Li2+ ion is

Accepted Answer

A)  53 eV 
B)  31 eV 
C)  92 eV 
D)  122 eV 
E)  61 eV 
A)  53 eV 
B)  31 eV 
C)  92 eV 
D)  122 eV 
E)  61 eV

Question 14

Rubidium (Z = 37) and potassium (Z = 19) are similar to sodium in that they have ____ electron(s) in the outermost shell.

Accepted Answer

A)  five p 
B)  three p 
C)  two s 
D)  one d 
E)  one s 
A)  five p 
B)  three p 
C)  two s 
D)  one d 
E)  one s

Question 15

What is the difference in wavelength 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)  1.0 × 10−10 m 
B)  2.0 × 10−10 m 
C)  4.1 × 10−10 m 
D)  8.1 × 10−10 m 
E)  1.6 × 10−9 m 
A)  1.0 × 10−10 m 
B)  2.0 × 10−10 m 
C)  4.1 × 10−10 m 
D)  8.1 × 10−10 m 
E)  1.6 × 10−9 m

Question 16

In the operation of a laser

Accepted Answer

A)  stimulated emission occurs. 
B)  there is a population inversion. 
C)  the excited state will tend to be metastable. 
D)  the photons emitted will have transitioned to the ground state. 
E)  For the answers (a), (b), (c), and (d), three are correct and one is incorrect. 
A)  stimulated emission occurs. 
B)  there is a population inversion. 
C)  the excited state will tend to be metastable. 
D)  the photons emitted will have transitioned to the ground state. 
E)  For the answers (a), (b), (c), and (d), three are correct and one is incorrect.

Question 17

The probability density of a particle at a distance r from the nucleus is essentially the

Accepted Answer

A)  probability of finding the particle within a small volume about r. 
B)  probability per unit area of finding the particle within a unit area centered on r. 
C)  probability per unit length of finding the particle within a unit length of r. 
D)  probability per unit volume of finding the particle within a small volume about r. 
E) 
  
A)  probability of finding the particle within a small volume about r. 
B)  probability per unit area of finding the particle within a unit area centered on r. 
C)  probability per unit length of finding the particle within a unit length of r. 
D)  probability per unit volume of finding the particle within a small volume about r. 
E)

Question 18

The K, L, M symbols represent values of the quantum number

Accepted Answer

A)  n 
B)   
C)   
D)  ms 
E)  mj 
A)  n 
B)   
C)   
D)  ms 
E)  mj

Question 19

A headwaiter at a restaurant decides to apply the exclusion principle to the seating of patrons. He will treat tables as sub-shells, and will only seat patrons if the number of the people to be seated adds up to a complete sub-shell. Of the numbers below, the number he would not be willing to seat at one table is

Accepted Answer

A)  2. 
B)  4. 
C)  6. 
D)  10. 
E)  14. 
A)  2. 
B)  4. 
C)  6. 
D)  10. 
E)  14.

Exam 42: Atomic Physics

An electron in a hydrogen atom makes a transition from the n = 4 to the n = 3 energy state. Determine the energy (in eV) of the emitted photon.

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron. Bevis says that it comes from the electron spin. Which one, if either, is correct, and why?

Suppose Bohr had chosen the potential energy of the electron in the hydrogen atom to be V = 0 when the electron is in the orbit with n = 1. He could do this by

The ground state configuration of chlorine (Z = 17) is

An energy of 13.6 eV is needed to ionize an electron from the ground state of a hydrogen atom. Selecting the longest wavelength that will work from the those given below, what wavelength is needed if a photon accomplishes this task?

Which of the following, in which n and m have integer values, is a correct formula for a wavelength emitted by a hydrogen atom?

The magnitude of the spin angular momentum for an electron is equal to

All quantum states forming a shell have the same

In an allowed electron transition in a hydrogen atom,

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 × 107 m−1)

The energy needed to change a He+ ion in the ground state into a He2+ ion is

The allowed values of n for the Li2+ ion are

The energy needed to remove an electron from the first excited state of a Li2+ ion is

Rubidium (Z = 37) and potassium (Z = 19) are similar to sodium in that they have ____ electron(s) in the outermost shell.

What is the difference in wavelength 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.)

In the operation of a laser

The probability density of a particle at a distance r from the nucleus is essentially the

The K, L, M symbols represent values of the quantum number

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What value of wavelength is associated with the Lyman series for n = 2? (R_H = 1.097 × 10⁷ m−¹)

The energy needed to change a He⁺ ion in the ground state into a He²⁺ ion is

The allowed values of n for the Li²⁺ ion are

The energy needed to remove an electron from the first excited state of a Li²⁺ ion is

What is the difference in wavelength 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.)