Deck 31: Atomic Physics

Question 1

According to one of the assumptions of the Bohr Model, the electron in a hydrogen atom moves in an elliptical orbit about the nucleus.

Answer 1

False

Question 2

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

Answer 2

False

Question 3

The state of a hydrogen atom is defined to be a specific assignment of values for each of the four quantum numbers.

Answer 3

True

Question 4

The Bohr model correctly predicts the energy for the ground state of the hydrogen atom.

Question 5

Ernest Rutherford tested Thomson's model by directing a beam of beta particles, at a thin gold foil.

Question 6

In the Bohr model of the hydrogen atom the state of the atom is characterized by a single quantum number n.

Question 7

Bohr's model of the structure of an atom includes ideas from both classical and quantum physics.

Question 8

What range of electromagnetic radiation is emitted when transitions from higher levels into n = 1 occur in a hydrogen atom?

A) Visible
B) Infrared
C) Microwave
D) X-Ray
E) Ultraviolet

Question 9

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

Question 10

The energy for n = 4 and ℓ = 0 state is greater than the energy for n = 3 and ℓ = 2 state.

Question 11

The energy for n = 4 and ℓ = 2 state is greater than the energy for n = 5 and ℓ = 0 state.

Question 12

To which of the following values of n does the longest wavelength in the Balmer series correspond?

A) 3
B) 5
C) 1
D) 7
E) ∞ (very large)

Question 13

Hydrogen atoms can emit four lines with visible colors from red to violet. These four visible lines emitted by hydrogen atoms are produced by electrons

A) that start in the n = 2 level.
B) that end up in the n = 2 level.
C) that end up in the n = 3 level.
D) that end up in the ground state.
E) that start in the ground state.

Question 14

The constant term in the Balmer series is called the Rydberg constant.

Question 15

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

Question 16

To which of the following values of n does the shortest wavelength in the Balmer series correspond?

A) 3
B) 5
C) 7
D) 1
E) ∞ (very large)

Question 17

The kinetic energy of the electron in the first Bohr orbit of hydrogen is 2.18 × J.

Question 18

The electron was discovered in 1897 by the English physicist J. J. Thomson.

Question 19

The electron in a doubly ionized lithium atom experiences a weaker attractive force than the single electron in a hydrogen atom.

Question 20

The Balmer series does not lie in the visible region of the electromagnetic spectrum.

Question 21

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 22

What is the energy of a photon that, when it is absorbed by a hydrogen atom, excites an electron from the ground state of the hydrogen atom to the n = 2 state?

A) 10.2 eV
B) 1.63 × 10^-18 J
C) 1.63 × 10^-18 Nm
D) All of the answers are correct.
E) None of the answers is correct.

Question 23

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

A) 1s² 2s² 2p²
B) 1s¹ 2p¹
C) 1s¹ 2s² 2p¹
D) 1s¹ 2s¹ 2p¹
E) 1s² 2s² 2p⁴

Question 24

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 25

The value of a wavelength in the Balmer series is 410.2 nm. What is the value of n?

A) 4
B) 5
C) 6
D) 7
E) 9

Question 26

What is the wavelength in the Balmer series corresponding to a value of n = 15?

A) 277.1 nm
B) 371.1 nm
C) 188.6 nm
D) 656 nm
E) 754.2 nm

Question 27

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 28

What type of spectrum is produced when a high energy electron beam is incident on a metal target producing X-rays?

A) line spectrum
B) emission spectrum
C) absorption spectrum
D) continuous spectrum
E) line spectrum superimposed on a continuous spectrum

Question 29

Bohr's atomic theory predicted energy levels for hydrogen of E_n = -(2 π² k² e⁴ m)/(hn)². If instead we place 1 electron in "orbit" about a bare nucleus of atomic number Z, how do you expect Z to be incorporated into the E_n formula and why?

Question 30

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 31

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

Question 32

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 33

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 34

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

A) 1s¹ 2s² 3p⁶ 2s²
B) 1s² 2s¹ 3p⁶ 2s²
C) 1s¹ 2s² 2p⁶
D) 1s² 2s² 2p⁶ 3s²
E) 1 s² 2 s² 2 p⁶ 3 s¹

Question 35

Which one of the following is true for the wavelength of the photon emitted when an electron in a hydrogen atom jumps from the n_i = 70 state to the n_f = 2 state as compared to the wavelength of the photon emitted when the electron jumps from the n_i = 4 state to the n_f = 2 state?

A) They are equal.
B) It is shorter.
C) It is longer.
D) The wavelength of the photon is not related to the change in state.

Question 36

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 37

The value of a wavelength in the Balmer series is 372.1 nm. What is the value of n?

A) 6
B) 3
C) 9
D) 10
E) 14

Question 38

If a hydrogen atom originally in a state with principal quantum number n is excited to state n' = 2n, then

A) its radius and binding energy will double.
B) its radius will quadruple and the binding energy will double.
C) its radius will double and the binding energy will quadruple.
D) its radius will quadruple and the binding energy will be reduced by a factor of four.
E) its radius and binding energy will quadruple.

Question 39

Consider the Bohr Theory Hydrogen atom.
(a) How much energy is needed to cause a transition of an electron from the 2 nd excited state to the 3rd excited state?
(b) What wavelength photon just has enough energy to initiate the transition?

Question 40

Consider the Bohr Theory Hydrogen atom in the 2 nd excited state.
(a) Determine the binding energy (eV) of the electron.
(b) What is the radius of the electron orbit?
(c) How far is it from the next higher excited orbit?

Question 41

What is the wavelength of the emitted photon if an electron in the hydrogen atom makes a transition from n = 2 state to the ground state?

A) 121.5 nm
B) 203.1 nm
C) 243.0 nm
D) 388.8 nm
E) 411.1 nm

Question 42

What is the shortest wavelength of the Lyman series?

A) 91.16 nm
B) 45.60 nm
C) 121.5 nm
D) 204.1 nm
E) 365 nm

Question 43

An electron in the hydrogen atom has a wavelength of 1.99 × 10^-9 m. To what state of the hydrogen atom does this electron belong?

A) n = 1
B) n = 3
C) n = 4
D) n = 6
E) n = 8

Question 44

What is the longest wavelength in the Lyman Series?

A) 45.60 nm
B) 91.20 nm
C) 121.5 nm
D) 240.1 nm
E) 365 nm

Question 45

In a hydrogen atom, the electron makes a transition from the n = 8 to the n = 3 state. What is the wavelength of the emitted photon?

A) 9.54 × 10^-7 m
B) 1.13 × 10^-6 m
C) 3.12 × 10^-7 m
D) 4.52 × 10^-6 m
E) 6.34 × 10^-7 m

Question 46

What value of n corresponds to a wavelength of 91.7 nm in the Lyman series?

A) 1
B) 3
C) 5
D) 9
E) 13

Question 47

What is the kinetic energy of an electron in the n = 2 Bohr orbit of the hydrogen atom?

A) 2.71 × 10^-19 J
B) 3.20 × 10^-19 J
C) 5.45 × 10^-19 J
D) 6.10 × 10^-19 J
E) 2.16 × 10^-18 J

Question 48

What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state n_i = 8 jumps to the final state n_f = 2?

A) 205.1 nm
B) 104.0 nm
C) 388.8 nm
D) 486.2 nm
E) 610.0 nm

Question 49

What is the longest wavelength in the Paschen series?

A) 2.01 nm
B) 2.01 μm
C) 365 nm
D) 1.88 nm
E) 1.88 μm

Question 50

What is the shortest wavelength in the Balmer series?

A) 328 nm
B) 365 nm
C) 456 nm
D) 656 nm
E) 820 nm

Question 51

What is the speed of an electron in the n = 4 Bohr orbit of the hydrogen atom?

A) 5.47 × 10⁵ m/s
B) 310 × 10⁵ m/s
C) 1.39 × 10⁵ m/s
D) 1.78 × 10⁵ m/s
E) 2.18 × 10⁶ m/s

Question 52

What is the longest wavelength in the Balmer series?

A) 240 nm
B) 328 nm
C) 365 nm
D) 656 nm
E) 820 nm

Question 53

What is the radius of the smallest Bohr orbit?

A) 2.14 × 10^-9 m
B) 1.12 × 10^-9 m
C) 1.56 × 10^-11 m
D) 3.17 × 10^-11 m
E) 5.29 × 10^-11 m

Question 54

What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state n_i = 4 jumps to the final state n_f = 2?

A) 243.1 nm
B) 556.2 nm
C) 486.2 nm
D) 312.2 nm
E) 609.1 nm

Question 55

What frequency must a photon have if it is to raise an electron in a hydrogen atom from the n = 2 to the n = 4 state?

A) 3.06 × 10¹⁴ Hz
B) 6.16 × 10¹⁴ Hz
C) 4.11 × 10¹⁴ Hz
D) 5.20 × 10¹⁴ Hz
E) 9.24 × 10¹⁴ Hz

Question 56

What is the wavelength associated with the electron in the n = 2 state of hydrogen?

A) 3.32 × 10^-10 m
B) 2.03 × 10^-10 m
C) 6.66 × 10^-10 m
D) 4.63 × 10^-10 m
E) 8.17 × 10^-10 m

Question 57

What is the wavelength of the emitted photon if an electron in the hydrogen atom makes a transition from the n_i = 2 to the n_f = 1 state?

A) 205.2 nm
B) 87.5 nm
C) 91.2 nm
D) 121.5 nm
E) 402.1 nm

Question 58

The kinetic energy of an electron in a Bohr orbit of the hydrogen atom is 8.57 × 10^-20 J. What is the radius of the orbit?

A) 1.35 × 10^-9 m
B) 2.01 × 10^-9 m
C) 2.64 × 10^-9 m
D) 4.12 × 10^-9 m
E) 5.29 × 10^-11 m

Question 59

What is the shortest wavelength in the Paschen series?

A) 410.2 nm
B) 410.2 μm
C) 365 nm
D) 820.4 nm
E) 820.4 μm

Question 60

What value of n corresponds to a wavelength of 922.7 nm in the Paschen series?

A) 3
B) 5
C) 7
D) 9
E) 15

Question 61

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

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

Question 62

How many values of the magnetic quantum number, m_ℓ, correspond to a value of 4 for the orbital quantum number, ℓ?

A) 3
B) 5
C) 8
D) 9
E) 7

Question 63

An electron in the hydrogen atom has a wavelength of 2.67 nm. To what state of the hydrogen atom does this electron belong?

A) n = 2
B) n = 5
C) n = 8
D) n = 11
E) n = 14

Question 64

For the ground state of the hydrogen atom, which of the following represents the correct value of the magnetic quantum number?

A) -1
B) 0
C) 1
D) 2
E) -2

Question 65

What is the wavelength associated with the electron in the n = 6 state of hydrogen?

A) 2.99 × 10^-9 m
B) 3.11 × 10^-9 m
C) 4.08 × 10^-9 m
D) 3.99 × 10^-9 m
E) 1.99 × 10^-9 m

Question 66

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 67

The ground state of the Li++ ion is at (Li has atomic number 3)

A) -40.8 eV.
B) -122 eV.
C) Li++ does not have a ground state.
D) -61 eV.
E) -1.51 eV.

Question 68

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 69

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 70

How many values of the magnetic quantum number, m_ℓ, correspond to a value of 2 for the orbital quantum number, ℓ?

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

Question 71

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 72

What is the minimum energy an incoming electron must have to knock a K shell electron out of an atom of molybdenum (Z = 42)?

A) 10.1 × 10³ eV
B) 11.3 × 10³ eV
C) 22.9 × 10³ eV
D) 34.4 × 10³ eV
E) 44.0 × 10³ eV

Question 73

For the ground state of the hydrogen atom, which of the following represents the correct value of the orbital angular momentum quantum number?

A) -1
B) 1
C) 0
D) 2
E) -2

Question 74

How many values can the magnetic quantum number have in a hydrogen atom in which the electron has the value of the orbital angular momentum quantum number equal to 8?

A) 9
B) 15
C) 5
D) 8
E) 17

Question 75

How many unique quantum states correspond to the lowest possible energy level of an electron in the hydrogen atom?

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