Physics Principles and Problems 2009

Chapter 27: Quantum Theory

Chapter Test Practice

1
Which of the following equations represents the momentum of a photon?
A)E = mc2
B)λ = h/mv
C)p = hf
D)p = h/λ
2
The __________ is the minimum frequency of radiation required in order to eject electrons from a metal.
A)kinetic frequency
B)photon momentum
C)de Broglie wavelength
D)threshold frequency
3
What is the momentum of a photon of green light that has a wavelength of 520 nm?
A)3.1×10-27 kg·m/s
B)1.3×10-27 kg·m/s
C)2.6×10-27 kg·m/s
D)1.1×10-26 kg·m/s
4
When light with a frequency greater than f0 ejects an electron, the excess energy, _________, becomes the __________.
A)hf0 - hf; potential energy of the photon
B)hf0; kinetic energy of the photon
C)hf - hf0; kinetic energy of the electron
D)hf; potential energy of the electron
5
Which of the following was a problem that could not be explained by Maxwell's wave theory?
A)oscillation of electric fields moving away from an antenna
B)production of changing magnetic field by a changing electric field
C)production of electric and magnetic fields that move through space
D)emission of electrons produced when electromagnetic radiation falls on certain metals
6
The work function for a certain element is 2.87 eV. What is its threshold wavelength? hc = 1240 eV·nm
A)495 nm
B)432 nm
C)446 nm
D)356 nm
7
Einstein predicted that photons had two properties of particles: __________ and __________.
A)momentum; diffraction
B)energy; momentum
C)energy; mass
D)mass; momentum
8
The __________ effect is the emission of electrons produced when electromagnetic radiation falls on certain metals.
A)ultraviolet
B)electromagnetic
C)photomagnetic
D)photoelectric
9
Electrons are ejected from a metal if the __________ of radiation falling on it is __________.
A)frequency; below the threshold frequency
B)intensity; below the threshold intensity
C)intensity; above the threshold intensity
D)frequency; above the threshold frequency
10
The work function of iron is 4.7 eV. What is the threshold wavelength of iron?
A)2600 nm
B)470 nm
C)260 nm
D)2.60 nm
11
The stopping potential, V0, that prevents electrons from flowing across a certain photocell is 6.0 V. What is the kinetic energy in J given to the electrons by the incident light?
A)6.4×10-19 J
B)1.60×10-19 J
C)9.6×10-19 J
D)6.9×10-19 J
12
The threshold frequency is the frequency at which kinetic energy is equal to __________.
A)hf
B)hf0
C)zero
D)h
13
Planck was able to calculate the shape of the spectra of incandescent bodies by hypothesizing that __________.
A)energy of vibration could have any frequency
B)energy is not continuous
C)energy of vibration is equal to the frequency of vibration multiplied by an integer
D)energy is continuous
14
According to Einstein, light and other forms of radiation consist of discrete bundles of energy that were later called __________.
A)photons
B)quarks
C)comptons
D)positrons
15
According to Einstein, the energy of a photon depends on the __________ of the electromagnetic radiation.
A)speed
B)intensity
C)momentum
D)frequency
16
The threshold frequency of tin is 1.2×1015 Hz. What is the threshold wavelength?
A)2.5×10-7 m
B)4.4×10-6 m
C)3.3×10-7 m
D)9.83×10-6 m
17
Compton observed an increase in wavelength with scattered X rays, which meant that the X-ray photons had _________________.
A)lost momentum only
B)gained both energy and momentum
C)gained energy only
D)lost both energy and momentum
18
An electron is accelerated by a potential difference of 120 V. What is the speed of the electron?
A)7.1×106 m/s
B)5.9×106 m/s
C)6.5×106 m/s
D)2.7×10 6 m/s
19

According to the figure below, what is the approximate frequency needed to eject an electron with a minimum kinetic energy of 2 eV?

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A)9.2×1014 Hz
B)4.5×1014 Hz
C)8.1×1014 Hz
D)10×1014 Hz
20

In the situation depicted in the figure below, if the electron's initial kinetic energy is doubled, what stopping potential would be required?

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A)2.5 V
B)25.0 V
C)10.0 V
D)5.0 V
21

According to the figure below, what is the approximate frequency needed to eject an electron with a minimum kinetic energy of 5 eV?

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A)16×1014 Hz
B)12×1014 Hz
C)20×1014 Hz
D)It cannot be determined from the graph.
22
What is the de Broglie wavelength of an electron moving at 3.0×106 m/s?
A)0.12 nm
B)0.49 nm
C)0.24 nm
D)0.24 m
23
According to de Broglie, electrons and protons should show __________ properties.
A)radioactive
B)explosive
C)unstable
D)wave
24
The Heisenberg uncertainty principle states that it is impossible to precisely measure the __________ of a particle at the same time.
A)frequency and energy
B)position and energy
C)position and momentum
D)momentum and frequency
25

For the situation depicted in the figure below, what would the kinetic energy of the ejected electrons be if the incident radiation had a wavelength of 200.0 nm and the metal had a work function of 2.56 eV?

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A)2.40 eV
B)3.64 eV
C)1.25 eV
D)2.56 eV
26

In the situation depicted in the figure below, if the electron's initial speed is doubled, what stopping potential would be required?

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A)2.5 V
B)5.0 V
C)10.0 V
D)20.0 V
27
An electron has a de Broglie wavelength of 750 nm. Find the velocity of the electron.
A)180 m/s
B)9700 m/s
C)6600 m/s
D)970 m/s
28
An electron is accelerated by a potential difference of 150 V, giving it a velocity of 7.3×106 m/s. What is the de Broglie wavelength of this electron?
A)4.9×10-11 m
B)9.5×1011 m
C)9.5×10-11 m
D)5.9×10-24 m
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