Question 1

The magnitude of the spin magnetic dipole moment of an atom is ($\mu$B is the Bohr magneton, and s is a positive number):

Accepted Answer

A) "$\mu$B" 
B) "$\mu$B s" 
C) " " 
D) " " 
E) "2$\mu$B s" 
A) "$\mu$B" 
B) "$\mu$B s" 
C) " " 
D) " " 
E) "2$\mu$B s" D

Question 2

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by where nx and ny are integers.The number of single-particle states with energy 5(h2/8mL2)is:

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5 D

Question 3

An electron in an atom is in a state with ℓ=3 and mℓ =2.The angle between and the z axis is:

Accepted Answer

A) 30$\degree$ 
B) 35.3$\degree$ 
C) 48.2$\degree$ 
D) 54.7$\degree$ 
E) 60$\degree$ 
A) 30$\degree$ 
B) 35.3$\degree$ 
C) 48.2$\degree$ 
D) 54.7$\degree$ 
E) 60$\degree$ D

Question 4

The Stern-Gerlach experiment makes use of:

Accepted Answer

A) a strong uniform magnetic field 
B) a strong non-uniform magnetic field 
C) a strong uniform electric field 
D) a strong non-uniform electric field 
E) strong perpendicular electric and magnetic fields 
A) a strong uniform magnetic field 
B) a strong non-uniform magnetic field 
C) a strong uniform electric field 
D) a strong non-uniform electric field 
E) strong perpendicular electric and magnetic fields

Question 5

The K $\infty$  x rays arising from a cobalt (Z = 27)target have a wavelength of about 179 pm.The atomic number of a target that gives rise to K $\infty$ x rays with a wavelength one-third as great ($\approx$60pm)is:

Accepted Answer

A) Z = 9 
B) Z = 26 
C) Z = 28 
D) Z = 46 
E) Z = 81 
A) Z = 9 
B) Z = 26 
C) Z = 28 
D) Z = 46 
E) Z = 81

Question 6

The electron states in an atom which constitute a single shell all have:

Accepted Answer

A) the same value of n 
B) the same value of ℓ 
C) the same value of n and the same value of ℓ 
D) the same value of ℓ and the same value of mℓ 
E) the same set of all four quantum numbers 
A) the same value of n 
B) the same value of ℓ 
C) the same value of n and the same value of ℓ 
D) the same value of ℓ and the same value of mℓ 
E) the same set of all four quantum numbers

Question 7

The most energetic electron in any atom at the end of a period of the periodic table is in:

Accepted Answer

A) an ℓ=0 state 
B) an ℓ=1 state 
C) an ℓ=2 state 
D) an n = 0 state with unspecified angular momentum 
E) an n = 1 state with unspecified angular momentum 
A) an ℓ=0 state 
B) an ℓ=1 state 
C) an ℓ=2 state 
D) an n = 0 state with unspecified angular momentum 
E) an n = 1 state with unspecified angular momentum

Question 8

Population inversion is important for the generation of a laser beam because it assures that:

Accepted Answer

A) spontaneous emission does not occur more often than stimulated emission 
B) photons do not split too rapidly 
C) more photons are emitted than are absorbed 
D) photons do not collide with each other 
E) photons do not make upward transitions 
A) spontaneous emission does not occur more often than stimulated emission 
B) photons do not split too rapidly 
C) more photons are emitted than are absorbed 
D) photons do not collide with each other 
E) photons do not make upward transitions

Question 9

The number of states in a subshell with orbital quantum number ℓ=3 is:

Accepted Answer

A) 2 
B) 3 
C) 7 
D) 9 
E) 14 
A) 2 
B) 3 
C) 7 
D) 9 
E) 14

Question 10

In connection with x-ray emission the symbol K $\alpha$ refers to:

Accepted Answer

A) an alpha particle radiation 
B) an effect of the dielectric constant on energy levels 
C) x-ray radiation from potassium 
D) x-ray radiation associated with an electron going from n = $\infty$ to n = 1 
E) x-ray radiation associated with an electron going from n = 2 to n = 1 
A) an alpha particle radiation 
B) an effect of the dielectric constant on energy levels 
C) x-ray radiation from potassium 
D) x-ray radiation associated with an electron going from n = $\infty$ to n = 1 
E) x-ray radiation associated with an electron going from n = 2 to n = 1

Question 11

The force exerted on a magnetic dipole as it moves with velocity through a Stern-Gerlach apparatus is:

Accepted Answer

A) proportional to v 
B) proportional to 1/v 
C) zero 
D) proportional to v2 
E) independent of v 
A) proportional to v 
B) proportional to 1/v 
C) zero 
D) proportional to v2 
E) independent of v

Question 12

The number of possible values of the magnetic quantum number mℓ associated with a given value of the orbital quantum number ℓ is:

Accepted Answer

A) 1 
B) 2 
C) ℓ 
D) 2 ℓ 
E) 2 ℓ +1 
A) 1 
B) 2 
C) ℓ 
D) 2 ℓ 
E) 2 ℓ +1

Question 13

A laser beam can be sharply focused because it is:

Accepted Answer

A) highly coherent 
B) plane polarized 
C) intense 
D) circularly polarized 
E) highly directional 
A) highly coherent 
B) plane polarized 
C) intense 
D) circularly polarized 
E) highly directional

Question 14

The possible values for the magnetic quantum number ms of an electron in an atom:

Accepted Answer

A) depend on n 
B) depend on ℓ 
C) depend on both n and ℓ 
D) depend on whether or not there is an external magnetic field present 
E) are$\pm$1/2 
A) depend on n 
B) depend on ℓ 
C) depend on both n and ℓ 
D) depend on whether or not there is an external magnetic field present 
E) are$\pm$1/2

Question 15

In connection with x-ray emission the symbol L $\beta$ refers to:

Accepted Answer

A) a beta particle radiation 
B) an atomic state of angular momentum h/2 $\pi$ 
C) the inductance associated with an orbiting electron 
D) x-radiation associated with an electron going from n = 4 to n = 2 
E) none of the above 
A) a beta particle radiation 
B) an atomic state of angular momentum h/2 $\pi$ 
C) the inductance associated with an orbiting electron 
D) x-radiation associated with an electron going from n = 4 to n = 2 
E) none of the above

Question 16

A metastable state is important for the generation of a laser beam because it assures that:

Accepted Answer

A) spontaneous emission does not occur more often than stimulated emission 
B) photons do not split too rapidly 
C) more photons are emitted than are absorbed 
D) photons do not collide with each other 
E) photons do not make upward transitions 
A) spontaneous emission does not occur more often than stimulated emission 
B) photons do not split too rapidly 
C) more photons are emitted than are absorbed 
D) photons do not collide with each other 
E) photons do not make upward transitions

Question 17

A magnetic dipole is placed in a strong uniform magnetic field B ⃗ .The associated force exerted on the dipole is:

Accepted Answer

A) along μ ⃗ 
B) along -μ ⃗ 
C) along B ⃗ 
D) along μ ⃗×B ⃗ 
E) zero 
A) along μ ⃗ 
B) along -μ ⃗ 
C) along B ⃗ 
D) along μ ⃗×B ⃗ 
E) zero

Question 18

The most energetic photon in a continuous x-ray spectrum has an energy approximately equal to:

Accepted Answer

A) the energy of all the electrons in a target atom 
B) the kinetic energy of an incident-beam electron 
C) the rest energy, mc2, of an electron 
D) the total energy of a K-electron in the target atom 
E) the kinetic energy of a K-electron in the target atom 
A) the energy of all the electrons in a target atom 
B) the kinetic energy of an incident-beam electron 
C) the rest energy, mc2, of an electron 
D) the total energy of a K-electron in the target atom 
E) the kinetic energy of a K-electron in the target atom

Question 19

Six electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by where nx and ny are integers.If a seventh electron is added to the system when it is in its ground state the least energy the additional electron can have is:

Accepted Answer

A) 2 (h2/8mL2) 
B) 5 (h2/8mL2) 
C) 8 (h2/8mL2) 
D) 10 (h2/8mL2) 
E) 13 (h2/8mL2) 
A) 2 (h2/8mL2) 
B) 5 (h2/8mL2) 
C) 8 (h2/8mL2) 
D) 10 (h2/8mL2) 
E) 13 (h2/8mL2)

Question 20

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by , , where nx and ny are integers.At most the number of electrons that can have energy 8(h2/8mL2)is:

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) any number 
A) 1 
B) 2 
C) 3 
D) 4 
E) any number

Exam 40: All About Atoms

The magnitude of the spin magnetic dipole moment of an atom is ( μ\muμ B is the Bohr magneton, and s is a positive number):

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by where nx and ny are integers.The number of single-particle states with energy 5(h2/8mL2)is:

An electron in an atom is in a state with ℓ=3 and mℓ =2.The angle between and the z axis is:

The Stern-Gerlach experiment makes use of:

The K ∞\infty∞ x rays arising from a cobalt (Z = 27)target have a wavelength of about 179 pm.The atomic number of a target that gives rise to K ∞\infty∞ x rays with a wavelength one-third as great ( ≈\approx≈ 60pm)is:

The electron states in an atom which constitute a single shell all have:

The most energetic electron in any atom at the end of a period of the periodic table is in:

Population inversion is important for the generation of a laser beam because it assures that:

The number of states in a subshell with orbital quantum number ℓ=3 is:

In connection with x-ray emission the symbol K α\alphaα refers to:

The force exerted on a magnetic dipole as it moves with velocity through a Stern-Gerlach apparatus is:

The number of possible values of the magnetic quantum number mℓ associated with a given value of the orbital quantum number ℓ is:

A laser beam can be sharply focused because it is:

The possible values for the magnetic quantum number ms of an electron in an atom:

In connection with x-ray emission the symbol L β\betaβ refers to:

A metastable state is important for the generation of a laser beam because it assures that:

A magnetic dipole is placed in a strong uniform magnetic field B ⃗ .The associated force exerted on the dipole is:

The most energetic photon in a continuous x-ray spectrum has an energy approximately equal to:

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by , , where nx and ny are integers.At most the number of electrons that can have energy 8(h2/8mL2)is:

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The magnitude of the spin magnetic dipole moment of an atom is ( $\mu$ _B is the Bohr magneton, and s is a positive number):

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by where n_x and n_y are integers.The number of single-particle states with energy 5(h²/8mL²)is:

An electron in an atom is in a state with ℓ=3 and m_ℓ =2.The angle between and the z axis is:

The K _$\infty$ x rays arising from a cobalt (Z = 27)target have a wavelength of about 179 pm.The atomic number of a target that gives rise to K _$\infty$ x rays with a wavelength one-third as great ( $\approx$ 60pm)is:

In connection with x-ray emission the symbol K _$\alpha$ refers to:

The number of possible values of the magnetic quantum number m_ℓ associated with a given value of the orbital quantum number ℓ is:

The possible values for the magnetic quantum number m_s of an electron in an atom:

In connection with x-ray emission the symbol L _$\beta$ refers to:

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by , , where n_x and n_y are integers.At most the number of electrons that can have energy 8(h²/8mL²)is: