Deck 39: Quantum Mechanics of Atoms

Question 1

According to the quantum mechanical model of the hydrogen atom, if the principal quantum number is n, how many different orbital angular momentum quantum number(s) are permitted?

A)n/2
B)n
C)2n
D)3n
E)4n

Answer 1

n

Question 2

According to the selection rule, when a photon is emitted or absorbed, transitions can only occur between state with values of ℓ that differ by

A)five units.
B)four units.
C)three units.
D)two units.
E)one unit.

Answer 2

one unit.

Question 3

In hydrogen any transition ending in the ground state emits a photon that

A)may be in the ultraviolet.
B)is in neither the ultraviolet nor the infrared.
C)may be in the infrared.
D)is in the infrared.
E)is in the ultraviolet.

Answer 3

is in the ultraviolet.

Question 4

The orbital angular momentum quantum number can take which of the following values for any given value of the principal quantum number, n?

A)ℓ = 0, 1, 2, . . .
B)ℓ = 0, 1, 2, . . . , n
C)ℓ = 0, 1, 2, . . . , (n - 1)
D)ℓ = 1, 2, 3, 4, . . .
E)ℓ = 1, 2, 3, 4, . . ., (n + 1)

Question 5

The distance between adjacent orbit radii in a hydrogen atom

A)increases with increasing values of n.
B)decreases with increasing values of n.
C)remains constant for all values of n.
D)varies randomly with increasing values of n.

Question 6

The maximum number of electron states with a principal quantum number n = 3 is 15.

Question 7

Which of the following values are associated with the electron spin quantum number, m_s?

A)±1/2
B)0
C)±1
D)±2
E)±3

Question 8

According to the quantum mechanical model of the hydrogen atom, if the orbital angular momentum quantum number is ℓ, there will be how many permitted magnetic quantum numbers?

A)ℓ/2
B)2ℓ
C)2ℓ + 1
D)2ℓ - 1
E)3ℓ

Question 9

When an electron jumps from an orbit where n = 4 to one where n = 2

A)a photon is emitted.
B)a photon is absorbed.
C)two photons are emitted.
D)two photons are absorbed.
E)none of the given answers

Question 10

The probability of finding an electron in a hydrogen atom is directly proportional to its

A)energy.
B)momentum.
C)wave function.
D)square of the wave function.
E)none of the above answers.

Question 11

The number of electrons in a neutral atom is called its

A)principal quantum number.
B)orbital quantum number.
C)magnetic quantum number.
D)atomic number.
E)none of the above answers.

Question 12

The energy difference between adjacent orbit radii in a hydrogen atom

A)increases with increasing values of n.
B)decreases with increasing values of n.
C)remains constant for all values of n.
D)varies randomly with increasing values of n.

Question 13

The allowed values for the magnetic quantum number, m_ℓ , are from m_ℓ = -ℓ to +ℓ.

Question 14

The orbital quantum number can have any integer value ranging from

A)0 to n.
B)0 to (n - 1).
C)1 to n.
D)1 to (n + 1).
E)1 to (n - 1).

Question 15

State the Pauli exclusion principle.

Question 16

According to Pauli's exclusion principle, how many electrons in an atom may have a particular set of quantum numbers?

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

Question 17

The spin quantum number can have values of

A)-1/2 -1, 0, +1, +1/2
B)-1/2 -1, +1, +1/2
C)-1/2, 0, +1/2
D)-1/2, +1/2.

Question 18

The magnetic quantum number can have any integer value ranging from

A)-n to +n.
B)-ℓ to +ℓ.
C)0 to n.
D)0 to ℓ.
E)ℓ to 2ℓ + 1.

Question 19

In a hydrogen atom, the difference in the energy between adjacent orbit radii increases with the increasing value of n.

Question 20

The principal quantum number can have any integer value ranging from

A)-∞ to +∞.
B)0 to ∞.
C)1 to ∞.
D)1 to n.
E)1 to 100.

Question 21

If ℓ = 4, which one of the following is a possible quantum number for n?

A)0
B)1
C)2
D)4
E)8

Question 22

In order to produce a hologram, one needs, in addition to an object and a piece of photographic film,

A)a beam of monochromatic light and a mirror.
B)a beam of monochromatic light and a lens.
C)a beam of monochromatic light, a mirror, and a lens.
D)a beam of coherent light and a lens.
E)a beam of coherent light and a mirror.

Question 23

When a hologram is illuminated with a beam of coherent light, it produces

A)both a real and a virtual image.
B)only a real image of the object.
C)only a virtual image of the object.
D)a real object.
E)none of the given answers.

Question 24

In a hydrogen atom, a given electron has n = 7. How many values can ℓ have?

A)6
B)7
C)15
D)33
E)98

Question 25

A hydrogen atom is in the 6h state. Which of the following could be an orbital quantum number?

A)5
B)6
C)7
D)8
E)9

Question 26

In a hydrogen atom, a given electron has ℓ = 7. How many values can m_ℓ have?

A)6
B)7
C)15
D)33
E)98

Question 27

The word LASER is an acronym for

A)Light Altered Spectra of Energy Radiated.
B)Latent Source of Enhanced Radiation.
C)Light Amplification by the Stimulated Emission of Radiation.
D)Light Absorbed States of Energetic Resonance.
E)none of the above answers.

Question 28

The Pauli exclusion principle tells us that no two electrons in an atom can have the same quantum number(s)

A)n, ℓ, m_ℓ, and m_s.
B)n, ℓ and m_ℓ.
C)m_ℓ and m_s.
D)n and ℓ.
E)n.

Question 29

The elements in the periodic table that have completely filled shells or subshells are referred to as

A)noble gases.
B)halogens.
C)alkali metals.
D)transition elements.
E)none of the above.

Question 30

If n = 5, which one of the following is not an allowed magnetic quantum number?

A)0
B)2
C)3
D)4
E)5

Question 31

The elements in the periodic table which lack one electron from a filled shell are referred to as

A)noble gases.
B)halogens.
C)alkali metals.
D)transition elements.
E)none of the above.

Question 32

In principle, a hologram is a result of which of the following properties of light?

A)Transmission
B)Interference
C)Refraction
D)Reflection
E)Dispersion

Question 33

The "inverted population" necessary for laser action

A)refers to the negative energy levels of electrons.
B)comes from upside-down levels in certain atoms.
C)refers to the higher energy state being populated more than one below it.
D)is another way of saying "coherent."
E)is another way of saying "incoherent."

Question 34

The elements in the periodic table which have a single outer s electron are referred to as

A)noble gases.
B)halogens.
C)alkali metals.
D)transition elements.
E)none of the above.

Question 35

Which one of the following properties of the beam of light applies to a laser beam?

A)It is coherent.
B)It is incoherent.
C)It is diverging.
D)It is converging.
E)None of the other answers given is correct.

Question 36

A hydrogen atom is in the 6h state. How many electrons are allowed in this state?

A)22
B)18
C)14
D)10
E)6

Question 37

In terms of an atom's electron configuration, the letters K, L, M, and N refer to

A)different shells with n equal to 1, 2, 3, or 4 respectively.
B)different sub shells with ℓ equal to 1, 2, 3, or 4 respectively.
C)the four possible levels for the magnetic quantum number.
D)the four possible quantum numbers.
E)none of the above answers.

Question 38

The emission of light of lower frequency after illumination by a higher frequency is referred to as

A)absorption.
B)stimulated emission.
C)coherence.
D)phosphorescence.
E)fluorescence.

Question 39

A hydrogen atom is in the 6h state. Determine the principal quantum number.

A)0
B)3
C)5
D)6
E)7

Question 40

A hydrogen atom is in the 6h state. Which one of the following is not a magnetic quantum number?

A)0
B)1
C)2
D)4
E)6

Question 41

How many possible sets of quantum numbers or electron states are there in the 5f subshell?

A)2
B)6
C)8
D)10
E)14

Question 42

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?

A)2.72 eV
B)-2.72 eV
C)0.544 eV
D)-0.544 eV
E)None of the given answers are correct.

Question 43

In a hydrogen atom, an electron with n = 7 can exist in how many different quantum states?

A)6
B)7
C)15
D)33
E)98

Question 44

In making a transition from state n = 1 to state n = 2, the hydrogen atom must

A)absorb a photon of energy 10.2 eV.
B)emit a photon of energy 10.2 eV.
C)absorb a photon of energy 13.58 eV.
D)emit a photon of energy 13.58 eV.
E)none of the given answers are correct.

Question 45

What is the maximum number of electrons that can occupy the g subshell?

A)10
B)14
C)18
D)22
E)2

Question 46

In state n = 1, the energy of the hydrogen atom is -13.58 eV. What is its energy in state n = 2?

A)-13.58 eV
B)-6.79 eV
C)-4.53 eV
D)-3.40 eV
E)-1.51 eV

Question 47

What is the electron configuration for Li which has three electrons?

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

Question 48

A neutral atom has an electron configuration of 1s²2s²2p⁶3s²3p². What is its atomic number?

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

Question 49

High-energy photons are used to bombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the metal?

A)80
B)81
C)82
D)83
E)84

Question 50

A neutral atom has electron configuration 1s²2s²2p⁶3s²3p². What element is this?

A)carbon
B)iron
C)nitrogen
D)silicon
E)germanium

Question 51

What is the shortest-wavelength X-ray photon emitted in an X-ray tube subject to 50 kV?

A)0.025 nm
B)0.25 nm
C)2.5 nm
D)25 nm
E)none of the given answers

Question 52

In the ground state, the quantum numbers (n, ℓ, m_ℓ, m_s) for hydrogen are, respectively,

A)1, 1, 1, 1.
B)1, 0, 0, 0.
C)1, 0, 0, ±1/2.
D)1, 1, 1, ±1/2.
E)1, 1, 0, ±1/2.

Question 53

Electrons with n = 3 are in the

A)M shell.
B)N or M shells.
C)K shell.
D)N shell.
E)L shell.

Question 54

According to the selection rules, which of the following transitions is not allowed?

A)n = 3, ℓ = 2 to n = 2, ℓ = 1
B)n = 4, ℓ = 3 to n = 3, ℓ = 2
C)n = 3, ℓ = 1 to n = 1, ℓ = 0
D)n = 2, ℓ = 1 to n = 1, ℓ = 0
E)n = 4, ℓ = 2 to n = 3, ℓ = 2

Question 55

In a ruby laser, an electron jumps from a higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelength of the emitted photon?

A)350 nm
B)470 nm
C)650 nm
D)690 nm
E)960 nm

Question 56

Which one of the following is the correct electronic configuration for carbon?

A)1 s²2 s²2 p²
B)1 s¹2 p¹
C)1 s¹2 s²2 p¹
D)1 s¹2 s¹2 p¹
E)1 s²2 s²2 p⁴

Question 57

The wavelength of a ruby laser is 694.3 nm. What is the energy difference between the two energy states involved in laser action?

A)1.537 eV
B)1.646 eV
C)1.786 eV
D)1.812 eV
E)3.572 eV

Question 58

Which one of the following is the correct electronic configuration for the sodium atom?

A)1 s¹2 s²3 p⁶2 s²
B)1 s²2 s¹3 p⁶2 s²
C)1 s¹2 s²2 p⁶
D)1 s²2 s²2 p⁶3 s²
E)1 s²2 s²2 p⁶3 s¹

Question 59

If the hydrogen atom is in an n = 3, ℓ =2 state, what is a possible value for ℓ after a photon is emitted?

A)3
B)0
C)4
D)2
E)1

Question 60

A neutral atom has an electron configuration of 1s²2s²2p⁶. If a neutral atom holds one additional electron, what is the ground state configuration?

A)1s²2s²2p⁶3s¹
B)1s²2s²2p⁷
C)1s²2s³2p⁶
D)1s³2s³2p⁶
E)none of the given answers

Question 61

A certain laser radiates with a wavelength of 2488 nm. What is the energy difference, in electron volts, between the two energy levels involved in producing this light?

A)0.50 eV
B)0.65 eV
C)0.45 eV
D)0.60 eV
E)0.55 eV

Question 62

In a helium-neon laser the emissions occur from transitions between two excited states in neon, one being at 20.66 eV above the ground state and the other being 18.70 eV above ground. What is the energy of the photons emitted by this laser?

A)20.66 eV
B)1.96 eV
C)18.70 eV
D)19.60 eV
E)39.36 eV