Question 1

What is the energy of an incident photon that is just enough to excite a hydrogen atom from its ground state to its n = 4 state?

Accepted Answer

A)  12.75 eV 
B)  10.20 eV 
C)  3.40 eV 
D)  0.85 eV 
A)  12.75 eV 
B)  10.20 eV 
C)  3.40 eV 
D)  0.85 eV A

Question 2

Two entangled fermions each have equal probabilities of being in one of two states (state 1 or state 2).The fermions are separated so that no forces act between them.One of the fermions is then studied and found to be in state 1.What is the probability that,when studied,the second particle will also be found in state 1?

Accepted Answer

A)  0% 
B)  33% 
C)  50% 
D)  67% 
E)  100% 
A)  0% 
B)  33% 
C)  50% 
D)  67% 
E)  100% A

Question 3

An atom has completely filled inner shells and a single valence electron in an excited p state.The filled inner shells have an orbital momentum equal to zero.A magnetic field is applied,defining the z-axis along the field.Which of the following sets of angles are possible angles between the magnetic field and the orbital angular momentum?

Accepted Answer

A)  45° 
B)  90° 
C)  45°, 90° 
D)  45°, 135° 
E)  45°, 90°, 135° 
A)  45° 
B)  90° 
C)  45°, 90° 
D)  45°, 135° 
E)  45°, 90°, 135° E

Question 4

Which of the following electron transitions is forbidden?

Accepted Answer

A)  3s → 2p 
B)  3d → 2p 
C)  3d → 1s 
D)  4p → 1s 
A)  3s → 2p 
B)  3d → 2p 
C)  3d → 1s 
D)  4p → 1s

Question 5

What is the greatest total angular momentum J for an electron in the n = 2 shell?

Accepted Answer

A)  1.9   
B)  2.5   
C)  0.50   
D)  3.5   
E)  1.5   
A)  1.9   
B)  2.5   
C)  0.50   
D)  3.5   
E)  1.5

Question 6

An electron initially in a 4p state decays to a lower energy state.Which energy state is forbidden?

Accepted Answer

A)  3d 
B)  2p 
C)  2s 
D)  1s 
A)  3d 
B)  2p 
C)  2s 
D)  1s

Question 7

An alkali metal atom is in the ground state.The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron.A magnetic field is applied that splits the ground state energy level into two levels,27 μeV apart.What is the strength of the applied magnetic field? (h = 6.626 × 10-34 J ∙ s,Bohr magneton = μB =   ,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  0.23 T 
B)  0.18 T 
C)  0.29 T 
D)  0.34 T 
E)  0.40 T 
A)  0.23 T 
B)  0.18 T 
C)  0.29 T 
D)  0.34 T 
E)  0.40 T

Question 8

A neutral atom has an electron configuration of 1s22s22p63s23p2.How many protons does it have in its nucleus?

Accepted Answer

A)  5 
B)  11 
C)  14 
D)  20 
E)  26 
A)  5 
B)  11 
C)  14 
D)  20 
E)  26

Question 9

An atom has completely filled inner shells and a single valence electron in an excited p state.The filled inner shells have an orbital momentum equal to zero.What is the magnitude of the orbital angular momentum L of the atom?

Accepted Answer

A)  1.0ħ 
B)  1.2ħ 
C)  1.4ħ 
D)  1.7ħ 
E)  2.0ħ 
A)  1.0ħ 
B)  1.2ħ 
C)  1.4ħ 
D)  1.7ħ 
E)  2.0ħ

Question 10

Model a hydrogen atom as a three-dimensional potential well with U0 = 0 in the region   ,and 0 -10 m.Which of the following is NOT one of the lowest three energy levels of an electron in this model?

Accepted Answer

A)  113 eV 
B)  226 eV 
C)  283 eV 
D)  339 eV 
A)  113 eV 
B)  226 eV 
C)  283 eV 
D)  339 eV

Question 11

The energy of an electron in the p-level of an atom is changed in the presence of a magnetic field of magnitude 4.6 T.What is the difference between the largest and smallest possible energies? (Bohr magneton = μB = 9.27 × 10-24 J/T)

Accepted Answer

Question 12

How fast must a hydrogen atom be traveling for its kinetic energy to be just enough to excite the ground-state atom to its first excited state in a collision? (1 eV = 1.60 × 10-19 J,

Accepted Answer

A)  44.2 km/s 
B)  21.7 km/s 
C)  66.5 km/s 
D)  113 km/s 
E)  51.0 km/s 
A)  44.2 km/s 
B)  21.7 km/s 
C)  66.5 km/s 
D)  113 km/s 
E)  51.0 km/s

Question 13

The normalized wave function for a hydrogen atom in the 1s state is given by   where α0 is the Bohr radius,which is equal to 5.29 × 10-11 m.What is the probability of finding the electron at a distance greater than 7.8 α0 from the proton?

Accepted Answer

A)  2.3 × 10-5 
B)  1.2 × 10-5 
C)  1.7 × 10-5 
D)  4.6 × 10-5 
E)  3.5 × 10-5 
A)  2.3 × 10-5 
B)  1.2 × 10-5 
C)  1.7 × 10-5 
D)  4.6 × 10-5 
E)  3.5 × 10-5

Question 14

The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ.Which of the following angles could NOT be the angle between the orbital angular momentum vector of the electron and an arbitrary z-direction?

Accepted Answer

A)  107° 
B)  90.0° 
C)  73.2° 
D)  54.7° 
E)  0.00° 
A)  107° 
B)  90.0° 
C)  73.2° 
D)  54.7° 
E)  0.00°

Question 15

If two electrons in an atom have the same energy,then they must have the same four quantum numbers.

Accepted Answer

A) True 
 B)False

Question 16

The only INVALID electron state and shell designation among the following is

Accepted Answer

A)  1s, K. 
B)  2s, L. 
C)  2d, L. 
D)  3s, M. 
E)  3d, M. 
A)  1s, K. 
B)  2s, L. 
C)  2d, L. 
D)  3s, M. 
E)  3d, M.

Question 17

The binding energy of the hydrogen atom in its ground state is -13.6 eV.What is the energy when it is in the n = 5 state?

Accepted Answer

A)  2.72 eV 
B)  -2.72 eV 
C)  0.544 eV 
D)  -0.544 eV 
E)  -68 eV 
A)  2.72 eV 
B)  -2.72 eV 
C)  0.544 eV 
D)  -0.544 eV 
E)  -68 eV

Question 18

An alkali metal atom is in the ground state.The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron.A magnetic field is applied that splits the ground state energy level into two levels,65 μeV apart.A photon,absorbed by the atom,induces a transition between the two levels.What is the wavelength of the photon? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J • s,Bohr magneton = μB =   ,

Accepted Answer

A)  19 mm 
B)  25 mm 
C)  31 mm 
D)  38 mm 
E)  41 mm 
A)  19 mm 
B)  25 mm 
C)  31 mm 
D)  38 mm 
E)  41 mm

Question 19

What is the electron configuration for ground state Li,which has 3 electrons?

Accepted Answer

A)  1s3 
B)  1s12s2 
C)  1s22s1 
D)  1s21p1 
E)  1s11p2 
A)  1s3 
B)  1s12s2 
C)  1s22s1 
D)  1s21p1 
E)  1s11p2

Question 20

An s state (l = 0)energy level is split into two levels by an applied magnetic field.A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels.What is the magnitude of the applied magnetic field? (h = 6.626 × 10-34 J • s,

Accepted Answer

A)  2.1 T 
B)  0.34 T 
C)  1.2 T 
D)  2.8 T 
E)  13 T 
A)  2.1 T 
B)  0.34 T 
C)  1.2 T 
D)  2.8 T 
E)  13 T

Exam 41: Atomic Structure

What is the energy of an incident photon that is just enough to excite a hydrogen atom from its ground state to its n = 4 state?

Which of the following electron transitions is forbidden?

What is the greatest total angular momentum J for an electron in the n = 2 shell?

An electron initially in a 4p state decays to a lower energy state.Which energy state is forbidden?

A neutral atom has an electron configuration of 1s22s22p63s23p2.How many protons does it have in its nucleus?

An atom has completely filled inner shells and a single valence electron in an excited p state.The filled inner shells have an orbital momentum equal to zero.What is the magnitude of the orbital angular momentum L of the atom?

Model a hydrogen atom as a three-dimensional potential well with U0 = 0 in the region ,and 0 < z < L,and infinite otherwise,with L = 1.0 × 10-10 m.Which of the following is NOT one of the lowest three energy levels of an electron in this model?

The energy of an electron in the p-level of an atom is changed in the presence of a magnetic field of magnitude 4.6 T.What is the difference between the largest and smallest possible energies? (Bohr magneton = μB = 9.27 × 10-24 J/T)

How fast must a hydrogen atom be traveling for its kinetic energy to be just enough to excite the ground-state atom to its first excited state in a collision? (1 eV = 1.60 × 10-19 J,

The normalized wave function for a hydrogen atom in the 1s state is given by where α0 is the Bohr radius,which is equal to 5.29 × 10-11 m.What is the probability of finding the electron at a distance greater than 7.8 α0 from the proton?

The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ.Which of the following angles could NOT be the angle between the orbital angular momentum vector of the electron and an arbitrary z-direction?

If two electrons in an atom have the same energy,then they must have the same four quantum numbers.

The only INVALID electron state and shell designation among the following is

The binding energy of the hydrogen atom in its ground state is -13.6 eV.What is the energy when it is in the n = 5 state?

What is the electron configuration for ground state Li,which has 3 electrons?

An s state (l = 0)energy level is split into two levels by an applied magnetic field.A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels.What is the magnitude of the applied magnetic field? (h = 6.626 × 10-34 J • s,

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Filters

A neutral atom has an electron configuration of 1s²2s²2p⁶3s²3p².How many protons does it have in its nucleus?

Model a hydrogen atom as a three-dimensional potential well with U₀= 0 in the region ,and 0 < z < L,and infinite otherwise,with L = 1.0 × 10^-10 m.Which of the following is NOT one of the lowest three energy levels of an electron in this model?

The energy of an electron in the p-level of an atom is changed in the presence of a magnetic field of magnitude 4.6 T.What is the difference between the largest and smallest possible energies? (Bohr magneton = μ_B = 9.27 × 10^-24 J/T)

How fast must a hydrogen atom be traveling for its kinetic energy to be just enough to excite the ground-state atom to its first excited state in a collision? (1 eV = 1.60 × 10^-19 J,

The normalized wave function for a hydrogen atom in the 1s state is given by where α₀is the Bohr radius,which is equal to 5.29 × 10^-11 m.What is the probability of finding the electron at a distance greater than 7.8 α₀ from the proton?

An s state (l = 0)energy level is split into two levels by an applied magnetic field.A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels.What is the magnitude of the applied magnetic field? (h = 6.626 × 10^-34 J • s,