The minimum energy required to remove an electron from a metal surface is called the:
stopping potential
photon energy
kinetic energy
work function
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2.4 The Photoelectric Effect
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2.4 The Photoelectric Effect
The minimum energy required to remove an electron from a metal surface is called the:
stopping potential
photon energy
kinetic energy
work function
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Light with frequency is incident on a metal surface with work function, . When the frequency exceeds the threshold frequency , electrons are emitted with a maximum kinetic energy .
What is the condition for photoelectric emission?
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Which of the following metals will exhibit the photoelectric effect most readily?
metal |
work function / eV |
|
A |
sodium |
2.3 |
B |
caesium |
2.1 |
C |
calcium |
2.9 |
D |
silver |
4.3 |
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A surface is illuminated by monochromatic light with a frequency above the threshold frequency of that material.
Which of the following changes would increase the number of photoelectrons emitted per second?
increasing the intensity of the light source
increasing the frequency of the light source
decreasing the wavelength of the light source
decreasing the work function of the material
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A metal surface has a work function of 3.5 × 10–19 J.
What is this threshold frequency of this metal?
2.2 Hz
1.9 × 10–15 Hz
5.3 × 1013 Hz
5.3 × 1014 Hz
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Monochromatic light illuminates a metal surface and electrons are emitted.
The emitted electrons have a maximum kinetic energy of 3.2 × 10–19 J. The work function of the metal is 2.4 eV.
What is the frequency of the light source?
1.1 × 1015 Hz
9.7 × 1013 Hz
3.6 × 1033 Hz
7.0 × 10–19 Hz
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Visible light of wavelength 380 nm is shone onto a metal target and photoelectrons are emitted. The maximum kinetic energy of the photoelectrons is 2.73 × 10–19 J.
What is the work function of the metal surface?
5.2 × 10–19 J
2.7 × 10–19 J
5.0 × 10–19 J
2.5 × 10–19 J
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Which graph has a gradient equal to hc?
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Which of the following changes does not increase the maximum kinetic energy of the electrons released via photoelectric emission?
increasing the frequency of the light source
increasing the intensity of the light source
illuminating a metal with a lower work function
decreasing the wavelength of the light source
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Visible light of wavelength 670 nm is shone onto a metal target and photoelectrons are emitted. The work function of the metal is 2.7 × 10-19 J.
What is the maximum kinetic energy of the photoelectrons of the metal surface?
5.2 × 10–19 J
2.7 × 10–20 J
5.0 × 10–20 J
2.5 × 10–19 J
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The lines X and Y on the graphs below show how the maximum kinetic energy of emitted photoelectrons varies with the frequency of incident radiation for Metal X and Metal Y.
Which graph shows the results for a Metal X that has a lower work function than Metal Y?
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In an experiment to demonstrate the photoelectric effect, a charged metal plate is illuminated with light from different sources. The plate loses charge when an ultraviolet light source is used but not when a red light source is used.
What is the reason for this?
The intensity of the red light is too low
The energy of the red light photons is too high
The frequency of the red light photons is too low
The wavelength of the red light is too short
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A beam of light of wavelength λ is incident on a clean metal surface and photoelectrons are emitted. The wavelength of the light is doubled but energy incident per second is kept the same.
Which row in the table is correct?
|
Maximum kinetic energy of the emitted photoelectrons |
Number of photoelectrons emitted per second |
A | increases | unchanged |
B | decreases | increases |
C | increases | decreases |
D | decreases | unchanged |
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Monochromatic light from light source A illuminates a metal surface and electrons are emitted from the surface. When light source B illuminates the same surface, no electrons are emitted.
Which property of the radiation from source A must be greater than that from source B?
wavelength
work function
wave speed
frequency
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Monochromatic radiation from a light source is incident on the metal surface of a photocell.
The current through the photocell is related to
the work function of the metal
the speed of the incident photons
the threshold frequency at which electrons are emitted
the intensity of the illumination at the surface of the metal
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Light is incident on a metal surface and causes emission of photoelectrons. These flow in a circuit as a photocurrent.
Which of the following is not an observed effect?
increasing the intensity causes a larger photocurrent
photoelectrons take some time to be emitted from the metal surface
the frequency of incident light must be higher than a threshold value in order to emit photoelectrons from the metal surface
increasing the frequency has no effect on the photocurrent
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When a metal in a vacuum is irradiated with UV radiation, electrons are emitted.
What would be the effect on the stopping potential and the photocurrent if the intensity of the ultraviolet radiation is increased?
|
Stopping potential |
Photocurrent |
A | unchanged | increases |
B | unchanged | unchanged |
C | increases | increases |
D | increases | unchanged |
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What is the maximum speed of emitted photoelectrons from a metal surface with a stopping potential of 5 mV?
3.0 × 108 m s–1
1.3 × 106 m s–1
4.2 × 104 m s–1
3.0 × 104 m s–1
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A monochromatic beam of red light falls on one electrode of a photocell and electrons are emitted.
The light beam is then replaced by a blue beam delivering the same energy per unit time to the cell.
Which one of the following quantities decreases as a result of this change?
The maximum kinetic energy of the electrons emitted
The number of photons striking the metal per unit time
The energy of each incident photon
The work function of the metal
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The results of the photoelectric effect can be investigated by plotting a graph of maximum kinetic energy of emitted electrons with frequency of incident light f on a metal surface.
Which of the lines, A to D, is not a possible result of the photoelectric effect?
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Monochromatic light of wavelength 250 nm is incident on a clean potassium surface and a clean zinc surface.
The work function of potassium is 2.24 eV, and the work function of zinc is 4.33 eV.
What is the ratio
for the electrons emitted from these surfaces?
0.5
1.9
2.1
4.3
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Photons are incident on a metal plate and electrons are released via photoelectric emission. Which graph shows the relationship between the maximum kinetic energy Ek of the photoelectrons and the wavelength of the incident light?
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A zinc surface with a work function of 4.3 eV and area of 10 cm2 is charged to –5.0 mC then illuminated with an ultraviolet lamp. The lamp has an output power of 100 W and a frequency of 1.2 × 1015 Hz.
The lamp is positioned 30 cm above the surface. How long does it take for the zinc surface to become electrically neutral?
Assume that the UV light is incident normally on the zinc surface.
0.3 s
3.0 s
0.2 ms
0.2 s
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The total power output of the Sun is 3.8 × 1026 W. Approximately 3% of the total radiation emitted by the Sun is in the form of ultraviolet (UV) light, and only around 10% of the UV photons arriving at Earth penetrate the atmosphere and reach the ground.
Sunlight is incident normally on a zinc surface with an area of 16 cm2 and a work function of 4.8 eV.
The average distance between the Sun and the Earth is 1.5 × 108 km.
What is a good approximation for the minimum number of photoelectrons emitted from the zinc surface in one hour?
1016
1019
1020
1022
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A monochromatic light source with wavelength λ illuminates a metal surface with function . Photoelectrons are emitted.
Which of the following correctly relates the de Broglie wavelength of emitted photoelectrons, λe , to the wavelength of incident light λ ?
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Visible light with wavelength illuminates a clean sodium surface with work function 2.3 eV. Photoelectrons are emitted with a de Broglie wavelength equal to the wavelength of the incident light, .
What is the wavelength of the incident light?
1.2 pm
120 nm
450 nm
540 nm
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A semiconductor chip is used to store information. The information can only be erased by exposing the chip to ultraviolet (UV) light.
A recycling company is setting up a production line to erase silicon chips that have a work function of 4.03 eV. They need to choose a UV source that meets the following requirements:
area of chip |
= 1800 μm2 |
time taken to erase information |
= 10 minutes |
energy required to erase the information |
= 40.5 μJ |
Which machine should the company choose?
|
UV wavelength / nm |
max. intensity / W m–2 |
A |
300 |
30 |
B |
300 |
40 |
C |
200 |
30 |
D |
400 |
50 |
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A vacuum photocell is connected to in series with a power supply, a variable resistor, and a sensitive ammeter. A voltmeter is connected in parallel across the photocell.
Monochromatic light of frequency illuminates the cathode, which has a threshold frequency . Photoelectrons are emitted and collected by the anode. A photocurrent is measured by the ammeter.
The potential difference across the photocell, , is increased until the ammeter reads zero.
Which of the equations below does not correctly relate the potential at which the current decreases to zero to the threshold frequency and frequency ?
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A vacuum photocell with work function is illuminated by ultraviolet (UV) sources of frequency and (both above the threshold frequency), and the stopping potentials and are measured for each.
If , what is the ratio ?
2
0.5
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Ultraviolet light with a wavelength of 230 nm falls on a curved electrode of a vacuum photocell.
Electrons are emitted from the electrode surface with a range of kinetic energies. The stopping potential of the most energetic electron is .
A potential difference is applied between the electrodes such that the potential at the curved electrode is .
An electron is emitted with kinetic energy equal to half that of the most energetic electron. It has a de Broglie wavelength of 6.76 × 10−10 m when it reaches the other electrode.
What is the work function of the curved electrode?
2.1 eV
3.2 eV
4.3 eV
5.4 eV
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