Question 1

The magnetic quantum number mℓ is most closely associated with what property of the electron in an atom?

Accepted Answer

A) Magnitude of the orbital angular momentum 
B) Energy 
C) z component of the spin angular momentum 
D) z component of the orbital angular momentum 
E) Radius of the orbit 
A) Magnitude of the orbital angular momentum 
B) Energy 
C) z component of the spin angular momentum 
D) z component of the orbital angular momentum 
E) Radius of the orbit

Question 2

A magnetic dipole is placed between the poles of a magnet as shown.The direction of the associated force exerted on the dipole is:

Accepted Answer

A) positive x 
B) positive y 
C) negative x 
D) negative y 
E) into or out of the page 
A) positive x 
B) positive y 
C) negative x 
D) negative y 
E) into or out of the page

Question 3

Which of the following is essential for the laser action to occur between two energy levels of an atom?

Accepted Answer

A) the lower level is metastable 
B) there are more atoms in the upper level than in the lower level 
C) there are more atoms in the lower level than in the upper level 
D) the lower level is the ground state 
E) the lasing material is a gas 
A) the lower level is metastable 
B) there are more atoms in the upper level than in the lower level 
C) there are more atoms in the lower level than in the upper level 
D) the lower level is the ground state 
E) the lasing material is a gas

Question 4

The group of atoms at the ends of periods of the periodic table is called:

Accepted Answer

A) alkali metal atoms 
B) rare earth atoms 
C) transition metal atoms 
D) alkaline atoms 
E) noble gas atoms 
A) alkali metal atoms 
B) rare earth atoms 
C) transition metal atoms 
D) alkaline atoms 
E) noble gas atoms

Question 5

The Pauli exclusion principle is obeyed by:

Accepted Answer

A) all particles 
B) all charged particles 
C) all particles with spin quantum numbers of 1/2 
D) all particles with spin quantum numbers of 1 
E) all particles with mass 
A) all particles 
B) all charged particles 
C) all particles with spin quantum numbers of 1/2 
D) all particles with spin quantum numbers of 1 
E) all particles with mass

Question 6

Five 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 energy of the ground state of the system is

Accepted Answer

A) 0 
B) 10 (h2/8mL2) 
C) 19 (h2/8mL2) 
D) 24 (h2/8mL2) 
E) 48 (h2/8mL2) 
A) 0 
B) 10 (h2/8mL2) 
C) 19 (h2/8mL2) 
D) 24 (h2/8mL2) 
E) 48 (h2/8mL2)

Question 7

When a lithium atom is made from a helium atom by adding a proton (and neutron)to the nucleus and an electron outside, the electron goes into an n = 2, ℓ=0 state rather than an n = 1, ℓ=0 state.This is an indication that electrons:

Accepted Answer

A) obey the Pauli exclusion principle 
B) obey the minimum energy principle 
C) undergo the Zeeman effect 
D) are diffracted 
E) and protons are interchangeable 
A) obey the Pauli exclusion principle 
B) obey the minimum energy principle 
C) undergo the Zeeman effect 
D) are diffracted 
E) and protons are interchangeable

Question 8

The magnitude of the orbital magnetic dipole moment of an atom is ($\mu$B is the Bohr magneton, and ℓ is a positive integer):

Accepted Answer

A) "$\mu$B" 
B) "$\mu$B ℓ" 
C) " " 
D) "$\mu$B (2ℓ+1)" 
E) "$\mu$B ℓ2" 
A) "$\mu$B" 
B) "$\mu$B ℓ" 
C) " " 
D) "$\mu$B (2ℓ+1)" 
E) "$\mu$B ℓ2"

Question 9

Which of the following subshells cannot exist?

Accepted Answer

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

Question 10

The number of values of the orbital quantum number ℓ associated with the principal quantum number n = 3 is:

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 7 
A) 1 
B) 2 
C) 3 
D) 4 
E) 7

Question 11

An electron in an atom is in a state with ℓ=5.The minimum angle between and the z axis is:

Accepted Answer

A) 0$\degree$ 
B) 18.0$\degree$ 
C) 24.1$\degree$ 
D) 33.6$\degree$ 
E) 36.7$\degree$ 
A) 0$\degree$ 
B) 18.0$\degree$ 
C) 24.1$\degree$ 
D) 33.6$\degree$ 
E) 36.7$\degree$

Question 12

The ionization energy of an atom in its ground state is:

Accepted Answer

A) the energy required to remove the least energetic electron 
B) the energy required to remove the most energetic electron 
C) the energy difference between the most energetic electron and the least energetic electron 
D) the same as the energy of a K $\alpha$  photon 
E) the same as the excitation energy of the most energetic electron 
A) the energy required to remove the least energetic electron 
B) the energy required to remove the most energetic electron 
C) the energy difference between the most energetic electron and the least energetic electron 
D) the same as the energy of a K $\alpha$  photon 
E) the same as the excitation energy of the most energetic electron

Question 13

Suppose the energy required to ionize a neon atom is i, the energy to excite it is e, and its energy due to thermal agitation at room temperature is t.In increasing order, these three energies are:

Accepted Answer

A) i, e, t 
B) t, i, e 
C) e, t, i 
D) i, t, e 
E) t, e, i 
A) i, e, t 
B) t, i, e 
C) e, t, i 
D) i, t, e 
E) t, e, i

Question 14

Photons in a laser beam are produced by:

Accepted Answer

A) transitions from a metastable state 
B) transitions from a state that decays rapidly 
C) splitting of other photons 
D) pumping 
E) reflection from mirrors 
A) transitions from a metastable state 
B) transitions from a state that decays rapidly 
C) splitting of other photons 
D) pumping 
E) reflection from mirrors

Question 15

Which of the following is essential for laser action to occur between two energy levels of an atom?

Accepted Answer

A) the lower level is metastable 
B) the upper level is metastable 
C) the lower level is the ground state 
D) the are more atoms in the lower level than in the upper level 
E) the lasing material is a gas 
A) the lower level is metastable 
B) the upper level is metastable 
C) the lower level is the ground state 
D) the are more atoms in the lower level than in the upper level 
E) the lasing material is a gas

Question 16

Which of the following (n, ℓ, mℓ, ms)combinations is impossible for an electron in an atom?

Accepted Answer

A) 3, 1, 1, -1/2 
B) 6, 2, 0, 1/2 
C) 3, 2, -2, -1/2 
D) 3, 1, -2, 1/2 
E) 1, 0, 0, -1/2 
A) 3, 1, 1, -1/2 
B) 6, 2, 0, 1/2 
C) 3, 2, -2, -1/2 
D) 3, 1, -2, 1/2 
E) 1, 0, 0, -1/2

Question 17

An electron in a K shell of an atom has the principal quantum number:

Accepted Answer

A) n = 0 
B) n = 1 
C) n = 2 
D) n = 3 
E) n = $\infty$ 
A) n = 0 
B) n = 1 
C) n = 2 
D) n = 3 
E) n = $\infty$

Question 18

In a Moseley graph:

Accepted Answer

A) the x-ray frequency is plotted as a function of atomic number 
B) the square of the x-ray frequency is plotted as a function of atomic number 
C) the square root of the x-ray frequency is plotted as a function of atomic number 
D) the x-ray frequency is plotted as a function of the square root of atomic number 
E) the square root of the x-ray frequency is plotted as a function of atomic mass 
A) the x-ray frequency is plotted as a function of atomic number 
B) the square of the x-ray frequency is plotted as a function of atomic number 
C) the square root of the x-ray frequency is plotted as a function of atomic number 
D) the x-ray frequency is plotted as a function of the square root of atomic number 
E) the square root of the x-ray frequency is plotted as a function of atomic mass

Question 19

The purpose of the mirrors at the ends of a helium-neon laser is:

Accepted Answer

A) to assure that no laser light leaks out 
B) to increase the number of stimulated emissions 
C) to absorb some of the photons 
D) to keep the light used for pumping inside the laser 
E) to double the effective length of the laser 
A) to assure that no laser light leaks out 
B) to increase the number of stimulated emissions 
C) to absorb some of the photons 
D) to keep the light used for pumping inside the laser 
E) to double the effective length of the laser

Question 20

In a laser:

Accepted Answer

A) excited atoms are stimulated to emit photons by radiation external to the laser 
B) the transitions for laser emission are directly to the ground state 
C) the states which give rise to laser emission are usually very unstable states that decay rapidly 
D) the state in which an atom is initially excited is never between two states that are involved in the stimulated emission 
E) a minimum of two energy levels are required. 
A) excited atoms are stimulated to emit photons by radiation external to the laser 
B) the transitions for laser emission are directly to the ground state 
C) the states which give rise to laser emission are usually very unstable states that decay rapidly 
D) the state in which an atom is initially excited is never between two states that are involved in the stimulated emission 
E) a minimum of two energy levels are required.

Exam 40: All About Atoms

The magnetic quantum number mℓ is most closely associated with what property of the electron in an atom?

A magnetic dipole is placed between the poles of a magnet as shown.The direction of the associated force exerted on the dipole is:

Which of the following is essential for the laser action to occur between two energy levels of an atom?

The group of atoms at the ends of periods of the periodic table is called:

The Pauli exclusion principle is obeyed by:

Five 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 energy of the ground state of the system is

When a lithium atom is made from a helium atom by adding a proton (and neutron)to the nucleus and an electron outside, the electron goes into an n = 2, ℓ=0 state rather than an n = 1, ℓ=0 state.This is an indication that electrons:

The magnitude of the orbital magnetic dipole moment of an atom is ( μ\muμ B is the Bohr magneton, and ℓ is a positive integer):

Which of the following subshells cannot exist?

The number of values of the orbital quantum number ℓ associated with the principal quantum number n = 3 is:

An electron in an atom is in a state with ℓ=5.The minimum angle between and the z axis is:

The ionization energy of an atom in its ground state is:

Suppose the energy required to ionize a neon atom is i, the energy to excite it is e, and its energy due to thermal agitation at room temperature is t.In increasing order, these three energies are:

Photons in a laser beam are produced by:

Which of the following is essential for laser action to occur between two energy levels of an atom?

Which of the following (n, ℓ, mℓ, ms)combinations is impossible for an electron in an atom?

An electron in a K shell of an atom has the principal quantum number:

In a Moseley graph:

The purpose of the mirrors at the ends of a helium-neon laser is:

In a laser:

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Vector

Motion in Two and Three Dimensions

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Filters

The magnetic quantum number m_ℓis most closely associated with what property of the electron in an atom?

Five 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 energy of the ground state of the system is

The magnitude of the orbital magnetic dipole moment of an atom is ( $\mu$ _B is the Bohr magneton, and ℓ is a positive integer):

Which of the following (n, ℓ, m_ℓ, m_s)combinations is impossible for an electron in an atom?