Deck 7: Quantum Theory of the Atom

Question 1

What is the energy of a photon of electromagnetic radiation with a frequency of Hz? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)​

A)​ J
B) ​J
C)​ J
D)​ J
E) ​J

Answer 1

​J

Question 2

A laser emits photons having an energy of 3.74 × 10^-19 J.What color would be expected for the light emitted by this laser? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J ⋅ s)

A)yellow to orange
B)orange to red
C)green
D)violet
E)blue

Answer 2

green

Question 3

Which type of electromagnetic radiation has the lowest frequency?

A)microwaves
B)visible
C)ultraviolet
D)infrared
E)radio waves

Answer 3

radio waves

Question 4

What is the frequency of a photon having a wavelength of 141.8 nm? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)

A)​2.12 × 10^-3 Hz
B)​2.14 × 10²⁶ Hz
C)​2.12 × 10¹⁵ Hz
D)​1.4 × 10^-36 Hz
E)​1.4 × 10^-18 Hz

Question 5

Which of the following statements is incorrect?

A)As the energy of a photon increases,its frequency decreases.
B)As the wavelength of a photon increases,its energy decreases.
C)The product of wavelength and frequency of electromagnetic radiation is a constant.
D)As the wavelength of a photon increases,its frequency decreases.
E)As the frequency of a photon increases,its wavelength decreases.

Question 6

​What is the frequency of photons that have molar energy of 339.00 kJ/mol?
(c​ = 3.00 × 10⁸ m/s,h ​= 6.63 × 10^-34 J·s,​N_A = 6.02 × 10²³ mol^-1)

A)​5.63×10^-19 Hz
B)​8.49×10¹⁴ Hz
C)​1.69×10^-10 Hz
D)​5.87×10^-31 Hz
E)​2.83×10⁶ Hz

Question 7

Rank the following regions of the electromagnetic spectrum in order of decreasing frequency.
X rays,Microwaves,Infrared,Ultraviolet

A)infrared,microwaves,ultraviolet,x rays
B)x rays,microwaves,infrared,ultraviolet
C)microwaves,infrared,ultraviolet,x rays
D)microwaves,ultraviolet,infrared,x rays
E)x rays,ultraviolet,infrared,microwaves

Question 8

What is the energy per mole of photons with a wavelength of 307.1 nm?
(c=3.00×10⁸ m/s,h=6.63×10^-34 J·s,N_A=6.02×10²³mol^-1)

A)​ 6.48×10^-19 kJ/mol
B)​1.85×10¹⁴ kJ/mol
C)​5.88×10³⁵ kJ/mol
D)​9.77×10¹⁴ kJ/mol
E)​3.9×10² kJ/mol

Question 9

Which type of electromagnetic radiation has the longest wavelength?

A)red light
B)x rays
C)gamma rays
D)microwaves
E)blue light

Question 10

What is the wavelength of photons that have molar energy of 515 kJ/mol? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s,N_A = 6.02 × 10²³ mol^-1)​​

A)​1.29 × 10⁶ nm
B)​8.55 × 10^-10 nm
C)​233 nm
D)​3.86 × 10^-22 nm
E)​2.33 × 10⁵ nm

Question 11

What is the frequency of a photon having an energy of 4.91 × 10^-17 ? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)​

A)2.22× 10²⁵ Hz
B)4.05× 10^-9 Hz
C)7.41× 10¹⁶ Hz
D)4.5× 10^-26 Hz
E)1.47× 10^-8 Hz

Question 12

Which type of electromagnetic radiation has the lowest energy?

A)gamma rays
B)x rays
C)red light
D)blue light
E)radio waves

Question 13

When a particular metal is illuminated with photons,one electron is observed for each absorbed photon.What effect would decreasing the wavelength and number of photons have on the electrons leaving the surface?

A)There would be more electrons leaving the surface.
B)They would have higher kinetic energy.
C)The electron velocity would be lower.
D)The kinetic energy of the electrons would be lower.
E)Two photons might be required to eject the electrons.

Question 14

What is the wavelength of a photon having a frequency of Hz? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)

A)​181 nm
B)​ nm
C)​ nm
D)​0.328 nm
E)​ nm

Question 15

What is the wavelength of a photon that has an energy of J? (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)​

A)​ nm
B)​​ nm
C)​​0.457 nm
D)​​ nm
E)​​ nm

Question 16

A photon of red light has a ____ frequency and a ____ wavelength than a photon of blue light.

A)lower,longer
B)higher,shorter
C)lower,shorter
D)higher,longer
E)lower,lower

Question 17

A light emitting diode (L.E.D.)emits photons with an energy of J.What is the energy per mole of photons emitted? ​

A)​ J/mol
B)​ J/mol
C)​ J/mol
D)​ J/mol
E)​ J/mol

Question 18

What is the energy of a photon of electromagnetic radiation with a wavelength of 963.5 nm?​ (c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)

A)​ J
B)​​ J
C)​​ J
D)​​ J
E)​​ J

Question 19

Based on the photoelectric effect,Einstein proposed the idea that

A)the energy of a single particle or photon of light is inversely proportional to its frequency.
B)the wavelength of light is inversely proportional to its frequency.
C)particles can show characteristics of waves under certain experimental conditions.
D)the energy of an object is proportional to its mass.
E)light has particle-like properties.

Question 20

What is the wavelength of a photon having a frequency of 49.3 THz? (1 THz = 10¹⁵ Hz,c = 3.00 × 10⁸ m/s,h = 6.63 × 10^-34 J · s)

A)​0.164 nm
B)​3.27 × 10^-23 nm
C)​9.81× 10^-15 nm
D)​6.08 nm
E)​6.09 × 10^-3 nm

Question 21

If the x-component of the velocity of an electron can be measured only to a precision of 5 × 10^-2 m/s,what is the minimum uncertainty of the position of the electron in the x-direction? (

A)9.5 × 10³² m
B)1 × 10^-3 m
C)1.1 × 10^-33 m
D)8.6 × 10² m
E)2 × 10¹ m

Question 22

From the Bohr model of the hydrogen atom,we can conclude that the energy required to excite an electron from n = 4 to n = 5 is ____ the energy required to excite an electron from n = 3 to 4.

A)less than
B)greater than
C)equal to
D)either equal to or less than
E)either equal to or greater than

Question 23

What is the wavelength of light emitted when the electron in a hydrogen atom undergoes a transition from level n = 6 to level n = 2?
(c=3.00×10⁸ m/s,h=6.63×10^-34 J·s,R_H=2.179×10^-18 J)

A)​4×10-7 m
B)​1.61×10^-27 m
C)​2.43×10⁶ m
D)4.84×10^-19 m
E)​7.3×10¹⁴ m

Question 24

What is the frequency of light emitted when the electron in a hydrogen atom undergoes a transition from level n = 6 to level n = 4?
(c=3.00×10⁸ m/s,h=6.63×10^-34 J·s,R_H=2.179×10^-18 J)

A)​2.63×10^-6 Hz
B)​​3.8×10⁵ Hz
C)​​3.97×10²⁷ Hz
D)​​7.57×10^-20 Hz
E)​​1×10¹⁴ Hz

Question 25

A radial probability plot for an electron in an atom,like that shown below,

A)specifies the probable speed of the electron at a given radius from the nucleus.
B)specifies the probable momentum of the electron at a given radius from the nucleus.
C)describes the probable energy of the electron at a given radius from the nucleus.
D)gives the probability of finding one electron near another at a given radius from the nucleus.
E)gives the probability of finding the electron at a given radius from the nucleus.

Question 26

Which of the following statements is a valid conclusion from the Heisenberg uncertainty principle?

A)The square of the wave function is proportional to the probability of finding a particle in space.
B)Particles can exhibit wavelike behavior.
C)The orbits proposed by Bohr's model of the atom are correct.
D)An electron in a 2p orbital is always closer to the nucleus than an electron in a 3p orbital.
E)The act of measuring a particle's position changes its momentum,and vice versa.

Question 27

What is the wavelength of an electron traveling at of 3.74% the speed of light?
(m_e=9.109×10^-31 kg,c=3.00×10⁸ m/s,h=6.63×10^-34 J·s)

A)​1.54×10¹⁰ m
B)​2.43×10^-12 m
C)​6.49×10^-11 m
D)​1.54×10¹² m
E)​6.49×10^-13 m

Question 28

When an electron in an atom makes a transition from n = 4 to n = 5,which of the following statements is/are correct?
I.Energy is emitted.
II.Energy is absorbed.
III.The electron loses energy.
IV.The electron gains energy.
V.The electron cannot make this transition.

A)II and IV
B)II and III
C)I and IV
D)I and III
E)V

Question 29

Consider the following energy-level diagram for a particular electron in an atom. Based on this diagram,which of the following statements is incorrect?

A)The wavelength of a photon emitted by the electron jumping from level 2 to level 1 is given by .
B)If the electron is in level 1,it may jump to level 2 by absorbing a photon with energy of ΔE.
C)If the electron is in level 1,it may jump to level 2 by absorbing any photon having energy of at least ΔE.
D)We would observe an electron jumping from level 2 to level 1 as a single line in a line spectrum.
E)If the electron is in level 2,it may jump to level 1 by emitting a photon with energy of |ΔE|.

Question 30

Whose postulates account for the line spectrum of an atom?

A)Thomson
B)de Broglie
C)Heisenberg
D)Rutherford
E)Bohr

Question 31

Which of the following scientists first postulated that the sharp lines in the emission spectra of elements were caused by electrons going from high-energy levels to low-energy levels?

A)Rutherford
B)Pauli
C)Hund
D)de Broglie
E)Bohr

Question 32

Who postulated that energy is radiated only when an electron falls from a higher-energy level to a lower-energy level?

A)Bohr
B)Heisenberg
C)Rutherford
D)Einstein
E)Millikan

Question 33

Which of the following statements is incorrect concerning the wave function?

A)The wave function of a particle is a solution to the Schrödinger equation.
B)For an electron in an atom,the square of the wave function decreases rapidly as the distance from the nucleus increases.
C)The square of the wave function is proportional to the probability of finding the particle in a region of space.
D)The value of the wave function gives the location of the particle.
E)The wave function for an electron in an atom is called an atomic orbital.

Question 34

The square of the wave function,ψ²,of an electron in an atom

A)is inversely proportional to the distance between the electron and the nucleus.
B)specifies the momentum of the electron.
C)describes the energy of the electron.
D)is proportional to the velocity of the electron.
E)gives the probability of finding the electron in a region of space.

Question 35

What is the energy per mole of photons having a frequency of 8.44 ×10¹⁴Hz?
​(c=3.00×10⁸ m/s,h=6.63×10^-34 J·s,N_A=6.02×10²³ mol^-1).

A)​2.36×10^-31 kJ/mol
B)​3.37×10² kJ/mol
C)​2.14×10²³ kJ/mol
D)​1.42×10^-10 kJ/mol
E)​4×10² kJ/mol

Question 36

The contribution for which de Broglie is best remembered in modern science is

A)his statement that no electron can have identical values for all four quantum numbers.
B)his proposal that particles of matter should be associated with wavelike behavior.
C)his statement that an electron can exist in an atom only in discrete energy levels.
D)his statement that elements show periodic repetition of properties.
E)his statement that electrons occupy all the orbitals of a given sublevel singly before pairing begins.

Question 37

In Bohr's atomic theory,when an electron moves from one energy level to another energy level more distant from the nucleus,

A)energy is absorbed.
B)light is emitted.
C)energy is emitted.
D)no change in energy occurs.
E)none of these

Question 38

What is the wavelength of a 142-g baseball traveling at 90.7 mph? ( )

A)3.13 × 10³⁷ m
B)1 × 10^-34 m
C)1.15 × 10^-37 m
D)8.68 × 10³³m
E)3.2 × 10^-38m

Question 39

The electron in a hydrogen atom,originally in level ​n = 8,undergoes a transition to a lower level by emitting a photon of wavelength 3745 nm.What is the final level of the electron?
​(c=​3.00×10⁸ m/s,h=6.63×10^-34 J·s,R_H=2.179×10^-18 J)

A)​5
B)​6
C)​8
D)​9
E)​1

Question 40

If the location of a particular electron can be measured only to a precision of​ 0.069 nm,what is the minimum uncertainty in the electron's velocity?
(m_e=9.109×10^-31 kg,c=3.00×10⁸ m/s,h=6.63×10^-34 J·s)

A)​8.4×10⁵ m/s
B)​​2.2×10⁵ m/s
C)​​8.4×10^-4 m/s
D)1​​×10^-6 m/s
E)​​1.7×10^-13 m/s

Question 41

What is the value of the principal quantum number for an electron in a 5d orbital?

A)-5
B)
C)5
D)
E)2

Question 42

How many values are there for the magnetic quantum number when the value of the angular momentum quantum number is 3?

A)12
B)7
C)1
D)4
E)15

Question 43

An orbital with the quantum numbers n = 5,l = ​2,​m_l = -1 may be found in which subshell?

A)5f
B)5d
C)5p
D)5g
E)5s

Question 44

Which of the following statements is incorrect?

A)The set of quantum numbers n = 3,l = 2,ml = 0,m_s = is not permitted because m_l = 0.
B)The set of quantum numbers n = 2,l = 2,ml = 1,m_s = is not permitted because n = l.
C)The set of quantum numbers n = 3,l = 2,ml = 1,m_s = is permitted.
D)The set of quantum numbers n = 3,l = 2,ml = 3,m_s = is not permitted because m_l exceeds l.
E)The set of quantum numbers n = 4,l = 3,ml = -1,m_s = 0 is not permitted because m_s = 0.

Question 45

What is the value of the spin quantum number for an electron in a 4d orbital?

A)4
B)2
C)either or
D)
E)

Question 46

All the following statements about the quantum numbers are true except

A)m_l has 2l + 1 possible values.
B)n may take integral values from 1 to ∞.
C)m_l may take integral values of +l to -l,including zero.
D)l may take integral values from 1 to n - 1.
E)m_s may take only the values of and .

Question 47

The number of orbitals having a given value of l is equal to

A)2n + 1.
B)2l + 1.
C)n + m_l.
D)2m_l + 1.
E)l + m_l.

Question 48

Which quantum number distinguishes the different shapes of the orbitals?

A)n
B)m_l
C)l
D)m_s
E)any of these

Question 49

Which of the following sets of quantum numbers (n,l,ml_, m_s)is not permissible?

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

Question 50

The number of orbitals in a p subshell is

A)3.
B)1.
C)7.
D)2.
E)5.

Question 51

What is the value of the angular momentum quantum number for an electron in a 1s orbital?

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

Question 52

Which of the following statements is incorrect?

A)The n = 3 shell has three p orbitals.
B)Every p subshell has three orbital.
C)The n = 4 shell has seven f orbitals.
D)An s orbital has a spherical shape.
E)The n = 2 shell has five d orbitals.

Question 53

A possible value of the magnetic quantum number m_l for a 5p electron is

A)1.
B)4.
C)-5.
D)6.
E)-3.

Question 54

Which of the following combinations of quantum numbers is permissible?

A)n = 1,l = 2,ml = 0,m_s =
B)n = 3,l = 2,ml = 1,m_s =
C)n = 3,l = 3,ml = 1,m_s =
D)n = 2,l = 1,ml = -1,m_s = 0
E)n = 4,l = 3,ml = 4,m_s =

Question 55

Which of the following subshells does not exist?

A)6g
B)3f
C)3p
D)2s
E)4d

Question 56

Which orbital or orbitals is/are specified by the set of quantum numbers n= 2 and l= 1?

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

Question 57

How many p orbitals are in the n = 3 shell?

A)1
B)6
C)0
D)5
E)3

Question 58

How many orbitals have the set of quantum numbers n =4 and l = 2?

A)5
B)9
C)7
D)1
E)3

Question 59

Which of the following sets of quantum numbers (n,l,ml_, m_s)refers to a 3d orbital?

A)2 0 0 -
B)5 4 1 -
C)4 2 -2 +
D)4 3 1 -
E)3 2 1 -

Question 60

The angular momentum quantum number is best associated with the

A)shape of the orbital.
B)number of orbitals in a subshell.
C)energy of the orbital.
D)orientation in space of an orbital.
E)none of the above

Question 61

Which hydrogen atom orbital has an energy essentially identical to a 3d orbital?

A)5d
B)4d
C)2s
D)1s
E)3p

Question 62

The _____ of a wave is the number of wavelengths of that wave that pass a fixed point in one unit of time and its unit is _____.

A)​frequency,hertz
B)​wavelength,meter
C)​intensity,candela
D)​current,ampere
E)​period,second

Question 63

What is the total number of subshells found in the n = 6 shell?

A)6
B)36
C)5
D)7
E)8

Question 64

Which of the following is a representation of a 1s orbital?

A)
B)
C)
D)
E)

Question 65

The wavelength of a gamma ray is 4 × 10^-11 m.Calculate the frequency of the ray.

A)​32 × 10¹⁷/s
B)​75 × 10¹⁷/s
C)​5 × 10¹⁹/s
D)​12 × 10¹⁷/s
E)​28 × 10¹⁹/s

Question 66

Which of the following is a representation of a orbital?

A)
B)
C)
D)
E)

Question 67

The branch of physics that mathematically describes the wave properties of submicroscopic particles is called _____.

A)​statistical mechanics
B)​quantum mechanics
C)​thermodynamics
D)​astrodynamics
E)​electromagnetism

Question 68

The frequency of a radio emission is 7.22 × 10¹³/s.Determine the wavelength of the radio wave.

A)​4155 nm
B)​3096 nm
C)​587 nm
D)​828 nm
E)​1256 nm