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DP IB Physics: HL

Topic Questions

Home / IB / Physics: HL / DP / Topic Questions / 7. Atomic, Nuclear & Particle Physics / 7.2 Nuclear Reactions / Structured Questions


7.2 Nuclear Reactions

Question 1a

Marks: 2
(a)
Define unified atomic mass unit.
[2]
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    Key Concepts
    Atomic Mass Unit

    Question 1b

    Marks: 3

    The unified atomic mass unit (a.m.u) is roughly equal to the mass of one nucleon.

    (b)
    Calculate the mass of a nucleus of uranium−238. Give your answer to 3 significant figures.
    You may take 1 a.m.u to be 1.66 × 10−27 kg.
    [3]
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      Key Concepts
      Atomic Mass Unit

      Question 1c

      Marks: 3

      Einstein's Theory of Relativity showed that mass could be converted into energy, and energy into mass. This is summarised in the equation:

      straight capital delta E equals straight capital delta m c squared

      (c)
      Define the terms in the equation and give the units:
       
      (i)
      E
      [1]
      (ii)
      m
      [1]
      (iii)
      c
      [1]
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        Question 1d

        Marks: 2
        (d)
        Calculate the energy (in J) released if all of the mass in the nucleus of uranium−238 were converted into energy.
        [2]
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          Question 2a

          Marks: 2
          (a)
          Define:
           
          (i)
          Binding energy.
          [1]
          (ii)
          Mass defect.
          [1]
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            Question 2b

            Marks: 4

            The nuclear rest mass of oxygen−16 open parentheses O presubscript 8 presuperscript 16 close parentheses is 15.994 914 u. 

            The mass defect, Δm, equation describes the relationship between the proton number, Z, the number of neutrons, N, the proton rest mass, mp, the neutron rest mass, mn, and the nuclear rest mass, mtotal.

            straight capital delta m equals Z m subscript p space plus space N m subscript n minus m subscript t o t a l end subscript

            (b)
            Calculate the mass defect of oxygen−16. Give your answer to 6 d.p.
            [4]

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              Question 2c

              Marks: 3

              The mass defect (from part (b)) can be used to calculate the binding energy.

              (c)
              Calculate the total binding energy for a nucleus of oxygen−16 in J
              [3]
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                Question 2d

                Marks: 2
                (d)
                Determine the binding energy per nucleon of oxygen−16 in J.
                [2]
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                  Question 3a

                  Marks: 2

                  The binding energy per nucleon of Helium−4 open parentheses He presubscript 2 presuperscript 4 close parentheses is 7.1 MeV.

                  (a)
                  Determine the energy required to completely separate the nucleons of the atom of helium. Give your answer in MeV.
                  [2]
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                    Question 3b

                    Marks: 2
                    (b)
                    Match the processes with the correct definition by drawing a line:
                    7-2b
                    [2]
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                      Question 3c

                      Marks: 3
                      (c)
                      Complete the following sentences using appropriate words:
                       

                      Helium is formed inside main sequence stars due to the process of nuclear ________. For this process to occur, both nuclei must have high _______ energy. This high energy is because the protons inside the nuclei are ________ charged and a great deal of energy is needed to overcome the ________ force of repulsion.

                      [3]

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                        Question 3d

                        Marks: 2
                        (d)
                        Complete the following sentences using appropriate words:
                         

                        Nuclear ________ can be induced by firing ________ at a nucleus. When the nucleus is struck it splits into two or more ________ nuclei and more ________. This leads to a chain reaction.

                        [2]

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                          Question 4a

                          Marks: 3

                          The chart shows the binding energy per nucleon for a number of nuclei.

                          7-2-q4a-question-sl-sq-easy-phy

                          (a)
                          Label the chart to show:
                           
                          (i)
                          Where fusion of these elements occurs to release energy
                          [1]
                          (ii)
                          Where fission of these elements occurs to release energy
                          [1]
                          (ii)
                          The location of Iron open parentheses Fe presubscript 26 presuperscript 56 close parentheses by drawing an X
                          [1]
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                            Question 4b

                            Marks: 4
                            (b)
                            In terms of the forces acting within the nucleus, explain why:
                             
                            (i)
                            Fusion occurs for nuclides with low nucleon numbers.
                            [2]
                            (i)
                            Fission occurs for nuclides with high nucleon numbers.
                            [2]
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                              Question 4c

                              Marks: 4

                              In both fission and fusion, there is a mass defect between the original nuclei and the daughter nuclei.

                              (c)
                              Complete the sentences by circling the correct word.
                               
                              In fusion, the mass of the nucleus that is created is slightly more / less than the total mass of the original nuclei and the daughter nucleus is more / less stable. 
                               
                              In fission, an unstable nucleus is converted into more stable nuclei with a larger / smaller total mass. In both cases, this difference in mass, the mass defect, is equal to the binding energy that is released.
                               
                              Fission / Fusion releases much more energy per kg than fission / fusion. The greater the increase in binding energy, the more / less energy is released.
                              [4]
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                                Question 4d

                                Marks: 3

                                The graph shows the binding energy per nucleon in MeV plotted against nucleon number, A.

                                7-2-q4d-question-sl-sq-easy-phy

                                (d)
                                Use the graph to find the binding energy of the following nuclei.
                                 
                                (i)
                                Platinum−190.
                                [1]
                                (ii)
                                Silicon−28.
                                [1]
                                (iii)
                                Tellurium−120.
                                [1]

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                                  Question 5a

                                  Marks: 3

                                  The graph below shows the binding energy per nucleon against the number of nucleons in the nucleus.

                                  7-2-q5a-question-sl-sq-easy-phy

                                  There are three nuclei, labelled X, Y and Z, which do not sit on the line of the graph.

                                  (a)
                                  Match up the labels to the correct element by drawing a line between the boxes
                                  [3]
                                   
                                  7-2
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                                    Question 5b

                                    Marks: 3

                                    Helium can fuse together to form beryllium as shown in the reaction below:

                                    7-2-q5b-question-sl-sq-easy-phy

                                    (b)
                                    State and explain which is larger, the mass of the reactants or the mass of the products.
                                    [3]

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                                      Question 5c

                                      Marks: 5

                                      The table shows the mass of each reactant and daughter nucleus:

                                      7-2-c

                                      (c)
                                      Using the information in the table:
                                       
                                      (i)
                                      Calculate the mass of the reactants, mR in atomic mass units.
                                      [2]
                                      (ii)
                                      Calculate the mass defect, Δm, between the reactants and the daughter nuclei in atomic mass units.
                                      [3]
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                                        Question 5d

                                        Marks: 2

                                        Helium−3 and helium−4 fuse together to form beryllium−7.

                                        The mass defect, Δm for this fusion reaction is equal to 2.8 × 10–30 kg. 

                                        (d)
                                        Calculate the energy released, ΔE, in the fusion of beryllium7.
                                        [2]
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