The Photoelectric Effect (AQA A Level Physics)

Exam Questions

3 hours43 questions
11 mark

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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21 mark

Light with frequency f is incident on a metal surface with work function, capital phi. When the frequency exceeds the threshold frequency f subscript 0, electrons are emitted with a maximum kinetic energy E subscript kappa.

What is the condition for photoelectric emission?

  • h f greater or equal than ϕ

  • h f less or equal than h f subscript 0

  • E subscript k greater or equal than ϕ

  • E subscript k less or equal than ϕ

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31 mark

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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    41 mark

    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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    51 mark

    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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    61 mark

    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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    71 mark

    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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    81 mark

    Which graph has a gradient equal to hc?

    q8-the-photoelectric-effect-aqa-as-physics-mcq

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      91 mark

      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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      101 mark

      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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      11 mark

      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?

      q11_the-photoelectric-effect_aqa-as-physics-mcq

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        21 mark

        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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        31 mark

        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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          41 mark

          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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          51 mark

          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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          61 mark

          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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          71 mark

          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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            81 mark

            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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            91 mark

            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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            101 mark

            The results of the photoelectric effect can be investigated by plotting a graph of maximum kinetic energy of emitted electrons E subscript k with frequency of incident light f on a metal surface.

             

            q20_the-photoelectric-effect_aqa-as-physics-mcq

            Which of the lines, A to D, is not a possible result of the photoelectric effect?

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              11 mark

              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

               fraction numerator maximum space velocity space of space electrons space emitted space from space potassium space surface space over denominator maximum space velocity space of space electrons space emitted space from space zinc space surface end fraction

              for the electrons emitted from these surfaces?

              • 0.5

              • 1.9

              • 2.1

              • 4.3

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              21 mark

              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 lambda of the incident light?

              q22_the-photoelectric-effect_aqa-as-physics-mcq

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                31 mark

                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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                41 mark

                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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                51 mark

                A monochromatic light source with wavelength λ illuminates a metal surface with function ϕ. Photoelectrons are emitted.

                 Which of the following correctly relates the de Broglie wavelength of emitted photoelectrons, λe , to the wavelength of incident light λ ?

                • lambda subscript e superscript 2 equals fraction numerator h squared over denominator 2 m subscript e end fraction open parentheses fraction numerator h c over denominator lambda end fraction plus ϕ close parentheses to the power of negative 1 end exponent

                • lambda subscript e superscript 2 equals fraction numerator h lambda over denominator 2 m subscript e c end fraction

                • lambda subscript e superscript 2 equals fraction numerator h squared over denominator 2 m subscript e end fraction open parentheses fraction numerator h c over denominator lambda end fraction minus ϕ close parentheses to the power of negative 1 end exponent

                • lambda subscript e superscript 2 equals fraction numerator 2 m subscript e over denominator h squared end fraction open parentheses fraction numerator h c over denominator lambda end fraction minus ϕ close parentheses to the power of negative 1 end exponent

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                61 mark

                Visible light with wavelength lambda illuminates a clean sodium surface with work function 2.3 eV. Photoelectrons are emitted with a de Broglie wavelength lambda subscript eequal to the wavelength of the incident light, lambda.

                 What is the wavelength of the incident light?

                • 1.2 pm

                • 120 nm

                • 450 nm

                • 540 nm

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                71 mark

                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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                  81 mark

                  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.

                  p~o0BSa-_q28_the-photoelectric-effect_aqa-as-physics-mcq

                  Monochromatic light of frequency f illuminates the cathode, which has a threshold frequency f subscript 0. Photoelectrons are emitted and collected by the anode. A photocurrent is measured by the ammeter.

                  The potential difference across the photocell, V, is increased until the ammeter reads zero.

                  Which of the equations below does not correctly relate the potential Vat which the current decreases to zero to the threshold frequency f subscript 0 and frequency f?

                  • V equals fraction numerator h left parenthesis f minus f subscript 0 right parenthesis over denominator e end fraction

                  • V equals fraction numerator e over denominator h f subscript 0 minus h f end fraction

                  • h equals fraction numerator e V over denominator left parenthesis f minus f subscript 0 right parenthesis end fraction

                  • h f subscript 0 equals h f minus e V

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                  91 mark

                  A vacuum photocell with work function ϕ is illuminated by ultraviolet (UV) sources of frequency f subscript A and f subscript B (both above the threshold frequency), and the stopping potentials V subscript A and V subscript B are measured for each.

                  If f subscript A equals 2 f subscript B, what is the ratio V subscript A over V subscript B?

                  • 2

                  • 0.5

                  • 1 plus fraction numerator h f subscript B over denominator h f subscript B minus ϕ end fraction

                  • 1 plus fraction numerator h f subscript A over denominator h f subscript A minus ϕ end fraction

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                  101 mark

                  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 V subscript s.

                  photoelectric-effect-aqa-as-physics-mcq-q30

                  A potential difference is applied between the electrodes such that the potential at the curved electrode is negative V subscript s.

                  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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