Deck 1: The Quantum World

Question 1

What is the wavelength of radiation with a frequency of 2.3  10¹³ /sec?

A)3.0  10⁸ m
B)7.6  10⁵ cm
C)7.6  10⁵ m
D)1.3  10^-5 cm
E)1.3  10^-5 m

Answer 1

1.3  10^-5 m

Question 2

Which of the following statements regarding electromagnetic radiation is true?

A)Electromagnetic radiation with a wavelength of 800 nm is in the ultraviolet range.
B)Electromagnetic radiation with a wavelength of 900 nm is in the visible light range.
C)Electromagnetic radiation with a wavelength of 400 nm is in the visible light range.
D)Electromagnetic radiation with a wavelength of 600 nm is in the ultraviolet range.
E)Electromagnetic radiation with a wavelength of 600 nm is in the visible light range.

Answer 2

Electromagnetic radiation with a wavelength of 600 nm is in the visible light range.

Question 3

What is the wavelength of radiation with a frequency of 1.1 10¹¹ /sec?

A)3.7  10² m
B)2.7  10^-3 cm
C)2.7  10^-3 m
D)3.7  10² cm
E)2.7  10^-13 m

Answer 3

2.7  10^-3 m

Question 4

Radiation with a frequency of 3.910¹⁴/sec has what wavelength?

A)1.310⁶ m
B)7.710^-7 cm
C)7.710^-7 m
D)3.110⁶ m
E)1.310⁶ cm

Question 5

Which of the following is the smallest wavelength electromagnetic radiation?

A)Radio.
B)Microwave.
C)Ultraviolet.
D)Visible blue light.
E)Infrared.

Question 6

What is the wavelength of a radio station transmitting at 99.1 MHz?

A)330 nm
B)303 nm
C)0.00303 m
D)3.03 m
E)0.330 m

Question 7

Electromagnetic radiation encompasses which of the following?

A)Microwaves.
B)Alpha particles.
C)Gamma radiation.
D)A and C above.
E)B and C above.

Question 8

Wavelength is defined how,in terms of electromagnetic radiation?

A)The peak to peak distance between waves.
B)The peak to trough distance between waves.
C)The speed with which a wave traverses a distance.
D)The amplitude with which a wave traverses a distance.
E)The trough to peak distance between a wave as well as the speed the wave traverses this distance.

Question 9

What is the frequency of yellow light with a wavelength of 580 nm?

A)5.2  10¹⁶ Hz
B)1.9  10^17 Hz
C)5.2  10¹⁴ Hz
D)5.2  10¹² Hz
E)1.9  10^15 Hz

Question 10

Which of the following statements regarding electromagnetic radiation is true?

A)Electromagnetic radiation with a wavelength of 400 nm travels faster than that with a wavelength of 600 nm.
B)The frequency of electromagnetic radiation determines how fast it travels.
C)Electromagnetic radiation with a wavelength of 400 nm has a frequency that is smaller than that with a wavelength of 600 nm.
D)Electromagnetic radiation with a wavelength of 600 nm travels faster than that with a wavelength of 400 nm.
E)Electromagnetic radiation with a wavelength of 600 nm has a frequency that is smaller than that with a wavelength of 400 nm.

Question 11

Visible light,microwaves,and x-rays travel through empty space at 3.00  10⁸ ms^1.True or false?

Question 12

Radiation with a wavelength of 2.2 mm is most likely in what part of the electromagnetic spectrum?

A)Cosmic rays.
B)X - rays.
C)Microwaves.
D)Ultraviolet radiation.
E)Gamma radiation.

Question 13

The ultraviolet range encompasses what wavelengths?

A)100 - 450nm.
B)530 - 580 nm.
C)1 - 50 nm.
D)10 - 80 nm.
E)420 - 500 nm.

Question 14

When radiation has a frequency of 6.910¹⁷ Hz,what is its wavelength?

A)4.310^-10 m
B)3.410^-10 m
C)3.010^-8 m
D)2.310^-9 m
E)2.310^-8 nm

Question 15

Estimate the frequency of the wave shown below.

A)1.5 × 10¹⁷ s⁻¹
B)3.0 × 10¹⁷ s⁻¹
C)1.0 × 10¹⁷ s⁻¹
D)2.0 × 10¹⁷ s⁻¹
E)Not enough information is given to permit calculation of the frequency.

Question 16

What wavelength does radiation have when its frequency is 5.610¹³ /sec?

A)5.410^-9 m
B)5.410^-8 m
C)5.410^-7 m
D)5.410^-6 m
E)5.410^-6 cm

Question 17

Which of the following statements is the highest frequency electromagnetic radiation?

A)X-radiation.
B)Ultraviolet.
C)Visible light.
D)Microwave.
E)Radio.

Question 18

Which of the following has the highest energy per photon?

A)Infrared
B)Blue light
C)Green light
D)Orange light
E)Red light

Question 19

Radiation with a wavelength of 2 - 10 pm is in what part of the electromagnetic spectrum?

A)Radio waves.
B)Microwave radiation.
C)Ultraviolet radiation.
D)X - radiation.
E)Gamma radiation.

Question 20

What wavelength does radiation possess when its frequency is 2.1  10¹⁵ Hz?

A)4.1  10^-7 cm
B)1.4  10^-7 m
C)6.5  10⁶ m
D)7.0  10⁶ m
E)1.4  10^-7 nm

Question 21

What is the frequency of radiation with a wavelength of 2.0 m?

A)1.5  10⁸ /sec
B)3.0  10⁸ /sec
C)7.0  10^-9 /sec
D)7.0  10⁸ /sec
E)1.5  10^-8 /sec

Question 22

What is the wavelength of radiation with a frequency of 2.7  10¹⁸ m?

A)1.1  10^-11 cm
B)1.1  10^-11 m
C)9.9  10^-11 m
D)9.9  10^-11 cm
E)3.0  10^-11 m

Question 23

Which of the following is a Lyman series line?

A)954.6 nm
B)656.3 nm
C)486.1 nm
D)434.0 nm
E)None of the above.

Question 24

What is the general wavelength of visible light?

A)1 - 100 nm
B)100 - 400 nm
C)420 - 700 nm
D)750 - 1,000 nm
E)> 1,000 nm

Question 25

Which of the following corresponds to an X-radiation wavelength?

A)0.0001 nm
B)0.001 nm
C)9 cm
D)9 nm
E)95 nm

Question 26

If radiation has a frequency of 3.1  10¹⁶ sec^-1,what is its wavelength?

A)1.0  10⁸ cm
B)1.0  10^-8 cm
C)1.0  10⁸ m
D)1.0  10^-8 m
E)3.0  10^-8 m

Question 27

What magnitude of wavelength and frequency does X-radiation have?

A)Small wavelength and low frequency.
B)Small wavelength and high frequency.
C)Large wavelength and low frequency.
D)Large wavelength and high frequency.
E)Wavelength almost the same as that in visible light.

Question 28

Which of the following has the highest frequency?

A)Microwave radiation
B)Infrared radiation
C)Visible light
D)Ultraviolet radiation
E)X-rays

Question 29

How is gamma radiation best described?

A)As very small wavelength and low frequency.
B)As wavelength very near that of the visible spectrum.
C)As large wavelength.
D)As very low frequency.
E)As very high frequency.

Question 30

In 1.0 s,a 60 W bulb emits 11 J of energy in the form of infrared radiation (heat)of wavelength 1850 nm.How many photons of infrared radiation does the lamp generate in 1.0 s?

A)1.0  10²⁹
B)1.0  10²⁰
C)6.8  10^14
D)1.1  10^19
E)6.6  10²³

Question 31

Of the following,which is a Balmer series visible band?

A)954.6 nm
B)656.3 nm
C)401.2 nm
D)121.6 nm
E)97.3 nm

Question 32

When radiation has a frequency of 1.5 10¹⁵ Hz,what is its wavelength?

A)3.0  10^-11 m
B)4.2  10^-7 m
C)2.0  10^-7 cm
D)2.0  10^-7 m
E)2.0  10^-8 m

Question 33

What is the wavelength of radiation that has a frequency of 4.9 x 10¹³ /sec?

A)6.1  10^-6 m
B)6.1  10^-6 cm
C)6.1  10⁶ m
D)1.6  10⁵ m
E)1.6  10^-5 m

Question 34

What is implied about an electron in an atom when it is observed that it has discrete spectral lines?

A)The electron is negatively charged.
B)The electron is oppositely charged from the proton.
C)The electron circles the nucleus.
D)The electron can have only certain energies.
E)The electron has negligible mass.

Question 35

What does the term "black body" signify for an object?

A)The object is white hot.
B)The object is black to human sight.
C)The object absorbs and emits all wavelengths
D)The object absorbs certain wavelengths of light preferentially.
E)There is no significance to the name.

Question 36

Which of the following has the largest wavelengths?

A)Red visible light
B)Blue visible light
C)Microwaves
D)Ultraviolet radiation
E)Gamma radiation

Question 37

Which of the following is a Lyman series UV band?

A)121.6 nm
B)221.6 nm
C)434.0 nm
D)121.6 cm
E)410.2 nm

Question 38

What type of wavelength is characteristic of radio waves?

A)Very large.
B)Very small.
C)Large or small depending on frequency.
D)Close to that of visible light.
E)None of the above; radio waves are not a form of radiation.

Question 39

Of the following,which wavelength range is visible to the human eye?

A)950 nm
B)870 nm
C)770 nm
D)500 nm
E)380 nm

Question 40

When radiation has a frequency of 5.2  10¹² Hz,what is its wavelength?

A)5.8  10^-5 cm
B)1.7  10⁴ m
C)1.7  10^-4 m
D)5.8  10^-5 m
E)5.8  10⁵ m

Question 41

What is the energy of a mole of photons with a frequency of 2.9  10¹⁵ sec^-1?

A)1.2  10⁶J/mol
B)1.2  10⁹J/mol
C)8.3  10^7J/mol
D)8.3  10⁷J/mol
E)6.7  10⁶J/mol

Question 42

A photon with a frequency of 1.2  10¹⁵ Hz has what energy?

A)8.0  10^-19
B)1.0  10^-19
C)8.0  10¹⁹
D)5.5  10^49
E)5.5  10⁴⁹

Question 43

A photon with energy of 3.910^-17 J has what frequency,in /sec?

A)6.6  10^-34
B)3.7  10¹⁵
C)3.7  10^15
D)2.7  10¹⁴
E)2.7  10^-14

Question 44

When a photon has an energy of 1.3  10^-20 J,what will its frequency be,in Hz?

A)1.9  10¹⁴
B)9.1  10²⁰
C)1.9  10¹³
D)9.1  10^19
E)6.0  10¹³

Question 45

When a mole of photons has the frequency 4.2  10¹⁵ Hz,what is its energy?

A)1.7  10^-6J/mol
B)5.9  10^-7J/mol
C)5.9  10⁷J/mol
D)6.2  10⁸J/mol
E)1.7  10⁶J/mol

Question 46

A photon with an energy of 1.8  10^-19 J possesses what frequency in sec^-1?

A)7.2  10^-14
B)2.7  10¹⁵
C)2.7  10^14
D)2.7  10¹⁴
E)7.2  10¹⁵

Question 47

What is the frequency of a photon that has an energy of 5.4  10^-18 J?

A)1.6  10^-34Hz
B)1.2  10¹⁶Hz
C)1.2  10^16Hz
D)8.1  10¹⁵Hz

Question 48

If a photon has an energy of 4.0  10^-16 J,what will its frequency be,in Hz?

A)6.0  10¹⁷
B)6.0  10¹⁶
C)3.9  10¹⁷
D)1.8  10^17
E)1.3  10²⁰

Question 49

What is the energy of a mole of photons with a frequency of 3.8  10¹⁴ /sec?

A)1.5  10⁵J/mol
B)1.5  10^-5J/mol
C)6.7  10^7J/mol
D)6.7  10⁷J/mol
E)3.8  10^-5J/mol

Question 50

What is the energy of a photon with a frequency of 3.8  10¹⁴ Hz?

A)1.5  10^-15J
B)3.8  10¹⁴J
C)8.3  10^14J
D)3.8  10^19J
E)1.5  10^-15J

Question 51

A mole of photons with a frequency of 3.1  10¹⁴ /sec has what energy?

A)1.2  10^-5J/mol
B)8.3  10^-7J/mol
C)8.3  10⁷J/mol
D)7.1  10⁷J/mol
E)1.2  10⁵J/mol

Question 52

What is the energy of a mole of photons with a frequency of 6.9  10¹⁴ Hz?

A)2.8  10⁵J/mol
B)8.3  10⁴J/mol
C)8.3  10^4J/mol
D)3.8  10⁶J/mol
E)2.8  10^-6J/mol

Question 53

What is the energy of a mole of photons with a frequency of 3.2  10¹⁶ Hz?

A)1.3  10⁷J/mol
B)1.3  10^-7J/mol
C)3.2  10¹⁶J/mol
D)7.7  10^8J/mol
E)7.7  10⁸J/mol

Question 54

How many joules of energy does a photon have with a frequency of 6.8  10¹⁵ Hz?

A)4.5  10²⁸
B)5.6  10^-18
C)4.5  10^18
D)5.6  10^19
E)4.5  10^-23

Question 55

A mole of photons with a frequency of 7.5  10¹⁶ Hz has what energy?

A)3.0  10^-7J/mol
B)4.2  10⁶J/mol
C)3.3  10^8J/mol
D)3.0  10⁷J/mol
E)3.3  10⁸J/mol

Question 56

A photon with a frequency of 2.3  10¹⁶ Hz has how many joules of energy?

A)1.5  10^-17
B)1.5  10¹⁷
C)3.5  10^17
D)3.5  10¹⁷
E)3.0  10⁸

Question 57

What is the energy of a mole of photons with a frequency of 1.2  10¹⁴ Hz?

A)4.8  10^-4J/mol
B)3.8  10⁴J/mol
C)4.8  10⁴J/mol
D)3.8  10^4J/mol
E)8.4  10⁵J/mol

Question 58

What is the energy in joules of a photon with a frequency of 5.6  10¹⁴ Hz?

A)3.7  10^-21
B)6.8  10²⁰
C)6.8  10^19
D)3.7  10^19
E)3.7  10¹⁹

Question 59

What energy in joules does a photon with a frequency of 5.0  10¹⁴ /sec have?

A)1.3  10^-19
B)3.3  10^-19
C)6.6  10^19
D)6.6  10¹⁹
E)3.3  10¹⁹

Question 60

What is the frequency,in Hz,of a photon with energy of 2.3  10^-17 J?

A)3.4  10^-16
B)3.4  10¹⁶
C)6.8  10^16
D)6.8  10¹⁶
E)2.8  10^-15

Question 61

Which of the following experiments most directly supports de Broglie's hypothesis of the wave nature of matter?

A)Black-body radiation
B)The photoelectric effect
C) -particle scattering by a metal foil
D)Electron diffraction by a crystal
E)The emission spectrum of the hydrogen atom

Question 62

If an electron is confined to a one-dimensional box 200 pm in length,calculate the zero-point energy.

A)1.51  10^18 J
B)6.04  10^18 J
C)1.51  10^20 J
D)1.21  10^19 J
E)1.21  10^17 J

Question 63

If a particle is confined to a one-dimensional box of length 300 pm,for ₃ the particle is most likely to be found at

A)0 pm.
B)50, 150, and 250 pm, respectively.
C)17.3 pm.
D)300 pm.
E)100 and 200 pm, respectively.

Question 64

What is the energy of a mole of photons with a frequency of 5.8  10¹⁵ sec^-1?

A)2.3  10^-5J/mol
B)2.3  10⁶J/mol
C)4.9  10⁶J/mol
D)4.9  10^5J/mol
E)5.8  10^-15J/mol

Question 65

In a one-dimensional particle in a box,the zero-point energy corresponds to

A)a node.
B)n = 0.
C)n = 1.
D)A quantum state where the uncertainty principle is not valid.
E)(² = 0.)

Question 66

In a one-dimensional particle in a box,for n = 6,how many wavelengths equal the size of the box?

A)0
B)3
C)1
D)12
E)6

Question 67

In everyday life,we have no difficulty in measuring both the velocity and position of objects.True or false?

Question 68

What is the energy of a mole of photons with a frequency of 9.1  10¹⁵ Hz?

A)3.6  10^-5J/mol
B)3.6  10⁶J/mol
C)2.8  10^7J/mol
D)2.8  10⁷J/mol
E)7.0  10⁶J/mol

Question 69

You are caught in a radar trap and hope to show that the speed measured by the radar gun is in error because of the uncertainty principle.If you assume that the uncertainty in your position is large,say about 10 m,and that the car has a mass of 2150 kg,what is the uncertainty in the velocity?

A)1  10^33 ms^1
B)1  10^19 ms^1
C)1  10³³ ms^1
D)1  10³⁸ ms^1
E)1  10^38 ms^1

Question 70

When a mole of photons has the energy 3.3  10⁷ J,what is its frequency,in Hz?

A)2.6  10^-15
B)2.6  10¹⁶
C)8.2  10^15
D)8.2  10¹⁶
E)13.3  10^-7

Question 71

Light of wavelength 242 nm ionizes a sodium ion in the gas phase; what is the ionization energy of sodium?

A)8.20 kJmol^1
B)988 kJmol^1
C)198 kJmol^1
D)494 kJmol^1
E)247 kJmol^1

Question 72

The first line (lowest energy)in the Balmer series appears at 15,233 cm^1.The second line appears at

A)109,678 cm^1.
B)45,699 cm^1.
C)20,565 cm^1.
D)30,466 cm^1.
E)20,311 cm^1.

Question 73

In a one-dimensional particle in a box,for ₄,how many nodes are predicted?

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

Question 74

Calculate the wavelength of a motorcycle of mass 275 kg traveling at a speed of 125 kmhr^1.

A)6.94  10^38 m
B)1.93  10^38 m
C)1.93  10^41 m
D)2.41  10^36 m
E)2.08  10^29 m

Question 75

If a particle is confined to a one-dimensional box of length 300 pm,for ₃ the particle has zero probability of being found at

A)100 and 200 pm, respectively.
B)150 pm only.
C)50, 150, and 250 pm, respectively.
D)50 and 250 pm, respectively.
E)75, 125, 175, and 225 pm, respectively.

Question 76

A lawyer who received a speeding ticket argues that because of the Heisenberg uncertainty principle the radar reading is uncertain.The judge,who happens to have a science degree,rules against the lawyer.Which of the following statements is true?

A)The judge is incorrect because the uncertainty in position is large.
B)The judge is correct because the car is so massive that the uncertainty in speed is very small.
C)The judge is correct because the uncertainty in momentum is very large.
D)The judge is incorrect because radar has only wave characteristics.
E)The judge is incorrect because (mv)(x) h.

Question 77

An electron is confined to a one-dimensional box 200 pm in length,calculate the wavelength of light required to promote the electron from the ground state to the first excited state.

A)329 pm
B)263 pm
C)165 pm
D)439 pm
E)1320 pm

Question 78

When a mole of photons possesses an energy of 2.4  10⁷ J,what is its frequency in /sec?

A)1.6  10^-15J/mol
B)6.1  10^-16J/mol
C)6.1  10¹⁶J/mol
D)1.6  10⁵J/mol
E)4.2  10¹⁶J/mol

Question 79

The Bohr radius for an electron in the ground state of a hydrogen atom is 52.9 pm.The Bohr radius for an electron in the n = 2 state of He⁺ is

A)211.6 pm.
B)105.8 pm.
C)26.5 pm.
D)52.9 pm.
E)13.2 pm.

Question 80

Which of the following statements is incorrect?

A)For a one-dimensional particle in a box, as the mass of the particle becomes larger the separation between neighboring energy levels increases.
B)For a one-dimensional particle in a box, the separation between neighboring energy levels increases as the length of the container increases.
C)For a one-dimensional particle in a box, the energy separation between neighboring energy levels has the value h²/8mL² when the walls of the box are infinitely far apart.
D)Argon atoms in a cylinder can be treated as though their translational energy were quantized.
E)A billiard ball on a table has a completely negligible zero-point energy.