Test Prep
Multiple Choice
21.1 Planck and Quantum Nature of Light
A perfect blackbody is a perfect absorber of energy transferred by what method?
- conduction
- convection
- induction
- radiation
Which of the following is a physical entity that is quantized?
- electric charge of an ion
- frequency of a sound
- speed of a car
Find the energy in joules of photons of radio waves that leave an FM station that has a 90.0-MHz broadcast frequency.
- 1.8 × 10−25 J
- 1.11 × 10−25 J
- 7.1 × 10−43 J
- 5.96 × 10-26 J
Which region of the electromagnetic spectrum will provide photons of the least energy?
- infrared light
- radio waves
- ultraviolet light
- X-rays
- Not all heat is in the form of light energy.
- Not all light energy falls in the visible portion of the electromagnetic spectrum.
- All heat is in the form of light energy.
- All light energy falls in the visible portion of the electromagnetic spectrum.
Given two stars of equivalent size, which will have a greater temperature: a red dwarf or a yellow dwarf? Explain. Note—Our sun is considered a yellow dwarf.
- a yellow dwarf, because yellow light has lower frequency
- a red dwarf, because red light has lower frequency
- a red dwarf, because red light has higher frequency
- a yellow dwarf, because yellow light has higher frequency
21.2 Einstein and the Photoelectric Effect
What is a quantum of light called?
- electron
- neutron
- photon
- proton
- Electrons are ejected immediately after impact from light.
- Light can eject electrons from a semi-conductive material.
- Light intensity does not influence the kinetic energy of ejected electrons.
- No electrons are emitted if the light frequency is too low.
Which of the following terms translates to light-producing voltage?
- photoelectric
- quantum mechanics
- photoconductive
- photovoltaic
- Long wavelength EM radiation photons carry less energy and therefore have greater ability to disrupt materials through the photoelectric effect.
- Long wavelength EM radiation photons carry more energy and therefore have greater ability to disrupt materials through the photoelectric effect.
- High frequency EM radiation photons carry less energy and therefore have lower ability to disrupt materials through the photoelectric effect.
- High frequency EM radiation photons carry more energy and therefore have greater ability to disrupt materials through the photoelectric effect.
- UV, X-rays, and gamma rays are capable of ejecting photons from a surface.
- UV, X-rays, and gamma rays are capable of ejecting neutrons from a surface.
- UV, X-rays, and gamma rays are capable of ejecting protons from a surface.
- UV, X-rays, and gamma rays are capable of ejecting electrons from a surface.
21.3 The Dual Nature of Light
What two particles interact in Compton scattering?
- photon and electron
- proton and electron
- neutron and electron
- proton and neutron
What is the momentum of a 500-nm photon?
- 8.35 × 10−26 kg ⋅ m/s
- 3.31 × 10−40 kg ⋅ m/s
- 7.55 × 1026 kg ⋅ m/s
- 1.33 × 10-27 kg ⋅ m/s
The conservation of what fundamental physics principle is behind the technology of solar sails?
- charge
- mass
- momentum
- angular momentum
Terms like frequency, amplitude, and period are tied to what component of wave-particle duality?
- neither the particle nor the wave model of light
- both the particle and wave models of light
- the particle model of light
- the wave model of light
Why was it beneficial for Compton to scatter electrons using X-rays and not another region of light like microwaves?
- because X-rays are more penetrating than microwaves
- because X-rays have lower frequency than microwaves
- because microwaves have shorter wavelengths than X-rays
- because X-rays have shorter wavelength than microwaves
Short Answer
21.1 Planck and Quantum Nature of Light
- The blackbody radiation curve would look like a circular path.
- The blackbody radiation curve would look like an elliptical path.
- The blackbody radiation curve would look like a vertical line.
- The blackbody radiation curve would look like a horizontal line.
Because there are more gradations to high frequency radiation than low frequency radiation, scientists also thought it possible that a curve titled the ultraviolet catastrophe would occur. Explain what the blackbody radiation curve would look like if this were the case.
- The curve would steadily increase in intensity with increasing frequency.
- The curve would steadily decrease in intensity with increasing frequency.
- The curve would be much steeper than in the blackbody radiation graph.
- The curve would be much flatter than in the blackbody radiation graph.
Energy provided by a light exists in the following quantities: 150 J, 225 J, 300 J. Define one possible quantum of energy and provide an energy state that cannot exist with this quantum.
- 65 J; 450 J cannot exist
- 70 J; 450 J cannot exist
- 75 J; 375 J cannot exist
- 75 J; 100 J cannot exist
- Planck recognized that energy is quantized, which was in sync with the classical physics concepts but not in agreement with modern physics concepts.
- Planck recognized that energy is quantized, which was in sync with modern physics concepts but not in agreement with classical physics concepts.
- Prior to Planck’s hypothesis, all the classical physics calculations were valid for subatomic particles, but quantum physics calculations were not valid.
- Prior to Planck’s hypothesis, all the classical physics calculations were not valid for macroscopic particles, but quantum physics calculations were valid.
How many 500-mm microwave photons are needed to supply the 8 kJ of energy necessary to heat a cup of water by 10 degrees Celsius?
- 8.05 × 1028 photons
- 8.05 × 1026 photons
- 2.01 × 1026 photons
- 2.01 × 1028 photons
What is the efficiency of a 100-W, 550-nm lightbulb if a photometer finds that 1 × 1020 photons are emitted each second?
- 101 percent
- 72 percent
- 18 percent
- 36 percent
- radio, microwave, infrared, visible, ultraviolet, X-ray, gamma
- radio, infrared, microwave, ultraviolet, visible, X-ray, gamma
- radio, visible, microwave, infrared, ultraviolet, X-ray, gamma
- radio, microwave, infrared, visible, ultraviolet, gamma, X-ray
- Photons of gamma rays and X-rays carry with them less energy.
- Photons of gamma rays and X-rays have longer wavelengths.
- Photons of gamma rays and X-rays have lower frequencies.
- Photons of gamma rays and X-rays carry with them more energy.
21.2 Einstein and the Photoelectric Effect
According to wave theory, what is necessary to eject electrons from a surface?
- Enough energy to overcome the binding energy of the electrons at the surface
- A frequency that is higher than that of the electrons at the surface
- Energy that is lower than the binding energy of the electrons
- A very small number of photons
What is the wavelength of EM radiation that ejects 2.00-eV electrons from calcium metal, given that the binding energy is 2.71 eV?
- 16.1 × 105 m
- 6.21 × 10−5 m
- 9.94 × 10−26 m
- 2.63 × 10-7 m
Find the wavelength of photons that eject 0.100-eV electrons from potassium, given that the binding energy is 2.24 eV.
- 6.22 × 10−7 m
- 5.92 × 10−5 m
- 1.24 × 10−5 m
- 5.31 × 10-7 m
- A solar cell converts all photons that it absorbs to electrical energy using the photoelectric effect.
- A solar cell converts all electrons that it absorbs to electrical energy using the photoelectric effect.
- A solar cell absorbs the photons with energy less than the energy gap of the material of the solar cell and converts it to electrical energy using the photoelectric effect.
- A solar cell absorbs the photons with energy greater than the energy gap of the material of the solar cell and converts it to electrical energy using the photoelectric effect.
- The photoelectric effect is able to work on the Sun’s natural energy.
- The photoelectric effect is able to work on energy generated by burning fossil fuels.
- The photoelectric effect can convert heat energy into electrical energy.
- The photoelectric effect can convert electrical energy into light energy.
21.3 The Dual Nature of Light
- The frequency of the photon will drop to zero.
- The frequency of the photon will remain the same.
- The frequency of the photon will increase.
- The frequency of the photon will decrease.
- Momentum of the photon is greater than the momentum of an electron.
- Momentum of the photon is less than the momentum of an electron.
- Momentum of the photon is equal to the momentum of an electron.
- Momentum of the photon is zero due to zero rest mass but the momentum of an electron is finite.
A 500-nm photon strikes an electron and loses 20 percent of its energy. What is the new momentum of the photon?
- 4.24 × 10−27 kg ⋅ m/s
- 3.18 × 10−27 kg ⋅ m/s
- 2.12 × 10−27 kg ⋅ m/s
- 1.06 × 10−27 kg ⋅ m/s
A 500-nm photon strikes an electron and loses 20 percent of its energy. What is the speed of the recoiling electron?
- 7.18 × 105 m/s
- 6.18 × 105 m/s
- 5.18 × 105 m/s
- 4.18 × 105 m/s
When a photon strikes a solar sail, what is the direction of impulse on the photon?
- parallel to the sail
- perpendicular to the sail
- tangential to the sail
- opposite to the sail
- Solar sails rely on disorganized strikes from light particles, while sailboats rely on disorganized strikes from air particles.
- Solar sails rely on disorganized strikes from air particles, while sailboats rely on disorganized strikes from light particles.
- Solar sails rely on organized strikes from air particles, while sailboats rely on organized strikes from light particles.
- Solar sails rely on organized strikes from light particles, while sailboats rely on organized strikes from air particles.
The wavelength of a particle is called the de Broglie wavelength, and it can be found with the equation .
Yes or no—Can the wavelength of an electron match that of a proton?
- Yes, a slow-moving electron can achieve the same momentum as a proton.
- No, a fast-moving electron cannot achieve the same momentum, and hence the same wavelength, as a slow-moving proton.
- No, an electron can achieve the same momentum, and hence but not the same wavelength, as a proton.
- Yes, a fast-moving electron can achieve the same momentum, and hence have the same wavelength, as a slow-moving proton.
- Their wavelength is equal to the object’s size.
- Their wavelength is very small compared to the object’s size.
- Their wavelength is very large compared to the object’s size.
- Their frequency is very small compared to the object’s size.
Extended Response
21.1 Planck and Quantum Nature of Light
- No, because the full spectrum of EM radiation is not emitted at any temperature.
- No, because the full spectrum of EM radiation is not emitted at certain temperatures.
- Yes, because the full spectrum of EM radiation is emitted at any temperature.
- Yes, because the full spectrum of EM radiation is emitted at certain temperatures.
- The child would not be able to swing with particular energies.
- The child could be released from any height.
- The child would be able to swing with constant velocity.
- The child could be released only from particular heights.
What is the accelerating voltage of an X-ray tube that produces X-rays with the shortest wavelength of 0.0103 nm?
- 1.21 × 1010 V
- 2.4 × 105 V
- 3.0 × 10−33 V
- 1.21 × 105 V
- X-ray photons carry considerably more energy so they can harm the patients.
- X-ray photons carry considerably less energy so they can harm the patients.
- X-ray photons have considerably longer wavelengths so they cannot harm the patients.
- X-ray photons have considerably lower frequencies so they can harm the patients.
21.2 Einstein and the Photoelectric Effect
- The increased intensity increases the number of ejected electrons. The increased current is due to the increase in the number of electrons.
- The increased intensity decreases the number of ejected electrons. The increased current is due to the decrease in the number of electrons ejected.
- The increased intensity does not alter the number of electrons ejected. The increased current is due to the increase in the kinetic energy of electrons.
- The increased intensity alters the number of electrons ejected, but an increase in the current is due to an increase in the kinetic energy of electrons.
- Speed must also be quantized at the particle scale.
- Speed will not be quantized at the particle scale.
- Speed must be zero at the particle scale.
- Speed will be infinite at the particle scale.
A 500 nm photon of light strikes a semi-conductive surface with a binding energy of 2 eV. With what velocity will an electron be emitted from the semi-conductive surface?
- 8.38 × 105 m/s
- 9.33 × 105 m/s
- 3 × 108 m/s
- 4.11 × 105 m/s
True or false—Treating food with ionizing radiation helps keep it from spoiling.
- true
- false
21.3 The Dual Nature of Light
- The release of light energy caused large-scale emission of electrons.
- The release of light energy caused large-scale emission of protons.
- The release of light energy caused large-scale emission of neutrons.
- The release of light energy caused large-scale emission of photons.
Sunlight above the Earth’s atmosphere has an intensity of 1.30 kW/m2 . If this is reflected straight back from a mirror that has only a small recoil, the light’s momentum is exactly reversed, giving the mirror twice the incident momentum. If the mirror were attached to a solar sail craft, how fast would the craft be moving after 24 hr? Note—The average mass per square meter of the craft is 0.100 kg.
- 8.67 × 10−5 m/s2
- 8.67 × 10−6 m/s2
- 94.2 m/s
- 7.49 m/s
Consider the counter-clockwise motion of LightSail-1 around Earth. When will the satellite move the fastest?
- point A
- point B
- point C
- point D
- There will be more zones of constructive interference and fewer zones of destructive interference.
- There will be more zones of destructive interference and fewer zones of constructive interference.
- There will be more zones of constructive and destructive interference.
- There will be fewer zones of constructive and destructive interference.