0%

DP IB Physics: SL

Topic Questions

Home / IB / Physics: SL / DP / Topic Questions / 4. Waves / 4.1 Oscillations / Structured Questions


4.1 Oscillations

Question 1a

Marks: 3
(a)
Complete the table by adding the correct key terms to the definitions.
  

Definition

Key Term

The time interval for one complete oscillation 

 

The distance of a point on a wave from its equilibrium position 

 

 The number of oscillations per second

 

 The repetitive variation with time of the displacement of an object about its equilibrium position

 

The maximum value of displacement from the equilibrium position

 

The oscillations of an object have a constant period

 

[3]

    Assess your score
      

    Question 1b

    Marks: 2

    The graph shows the displacement of an object with time.

     
    4-1-1b-question-stem-sl-sq-easy-phy
    (b)
    On the graph, label the following:
     
    (i)
    the time period T
    [1]
    (ii)
    the amplitude x0
    [1]
      Assess your score
        

      Question 1c

      Marks: 1

      An object oscillates isochronously with a frequency of 0.4 Hz.

      (c)
      Calculate the period of the oscillation.
      [1]
        Assess your score
          

        Question 1d

        Marks: 4

        The graph shows the oscillations of two different waves.

        4-1-1d-question-stem-sl-sq-easy-phy

        (d)
        For the two oscillations, state:
         
        (i)
        The phase difference in terms of wavelength λ, degrees and radians.
        [3]
        (ii)
        Whether the oscillations are in phase or in anti-phase.
        [1]
          Assess your score
            

          Question 2a

          Marks: 3
          (a)
          Fill in the blank spaces with a suitable word.
           
          Objects in simple harmonic motion ____________ about an equilibrium point. The restoring force and ___________ always act toward the equilibrium, and are ____________ to ____________, but act in the opposite direction.
          [3]
            Assess your score
              

            Question 2b

            Marks: 3

            Hooke's law can be used to describe a mass-spring system performing simple harmonic oscillations. Hooke's Law states that;

            F = −kx

            (b)
            State the definition of the following variables and an appropriate unit for each:
             
            (i)
            F
            [1]
            (ii)
            k
            [1]
            (iii)
            x
            [1]
              Assess your score
                

              Question 2c

              Marks: 1

              The graph shows the restoring force on a bungee cord.

              4-1-2c-question-stem-sl-sq-easy-phy

              (c)
              Identify the quantity given by the gradient, where F = − kx
              [1]
                Assess your score
                  

                Question 2d

                Marks: 2
                (d)
                For an object in simple harmonic motion:
                 
                (i)
                State the direction of the restoring force in relation to its displacement
                [1]
                (ii)
                State the relationship between force and displacement
                [1]
                  Assess your score
                    

                  Question 3a

                  Marks: 3

                  An object oscillates in simple harmonic motion. The graph shows the variation of displacement with time. The object starts from the equilibrium position when time t = 0.

                  4-1-3a-question-stem-sl-sq-easy-phy

                  (a)
                  For this object:
                   
                  (i)
                  Describe the shape of the displacement-time graph
                  [1]
                  (ii)
                  Outline how the shape of the graph would change if the oscillation was measured from amplitude x0
                  [2]
                    Assess your score
                      
                    Key Concepts
                    SHM Graphs

                    Question 3b

                    Marks: 1
                    (b)
                    Identify the correct v-t graph for the oscillation of the object in the x-t graph from part (a)
                    4-1-3b-question-stem-sl-sq-easy-phy
                    [1]
                      Assess your score
                        
                      Key Concepts
                      SHM Graphs

                      Question 3c

                      Marks: 1
                      (c)
                      Identify the correct a-t graph for the oscillation of the object in the x-t graph from part (a)
                      4-1-3c-question-stem-sl-sq-easy-phy
                         [1]
                        Assess your score
                          
                        Key Concepts
                        SHM Graphs

                        Question 3d

                        Marks: 2
                        (d)
                        State the phase difference in radians between the displacement-time graph from part (a) and the correct velocity-time graph from part (b)
                        [2]
                          Assess your score
                            
                          Key Concepts
                          SHM Graphs

                          Question 4a

                          Marks: 1
                          (a)
                          Define the term 'total energy' for a system oscillating in simple harmonic motion.
                          [1]
                            Assess your score
                              
                            Key Concepts
                            Energy in SHM

                            Question 4b

                            Marks: 3

                            The graph shows the potential energy EP, kinetic energy EK and total energy ET of a system in simple harmonic motion. 

                            4-1-4b-question-stem-sl-sq-easy-phy

                            (b)
                            Add the following labels to the correct boxes on the graph:
                            • ET
                            • EP
                            • EK

                            [3]

                              Assess your score
                                
                              Key Concepts
                              Energy in SHM

                              Question 4c

                              Marks: 4

                              The diagram indicates the positions of a simple pendulum in simple harmonic motion.

                              4-1-4c-question-stem-sl-sq-easy-phy

                              (c)
                              Identify the position of the pendulum when:
                               
                              (i)
                              Kinetic energy is zero
                              [1]
                              (ii)
                              Potential energy is at a maximum
                              [1]
                              (iii)
                              Kinetic energy is at a maximum
                              [1]
                              (iv)
                              Potential energy is zero
                              [1]
                                Assess your score
                                  
                                Key Concepts
                                Energy in SHM

                                Question 4d

                                Marks: 2

                                The period of the oscillation shown in part (c) is 2.2 s.

                                (d)
                                Calculate the frequency of the oscillation
                                [2]
                                  Assess your score
                                    

                                  Question 5a

                                  Marks: 2

                                  A mass-spring system oscillates with simple harmonic motion. The graph shows how the potential energy of the spring changes with displacement.

                                  4-1-5a-question-stem-sl-sq-easy-phy

                                  (a)
                                  For the mass-spring system, determine:
                                   
                                  (i)
                                  The maximum potential energy
                                  [1]
                                  (ii)
                                  The total energy
                                  [1]
                                    Assess your score
                                      
                                    Key Concepts
                                    Energy in SHM

                                    Question 5b

                                    Marks: 2
                                    (b)
                                    Using the graph in part (a), determine:
                                     
                                    (i)
                                    The amplitude x0 of the oscillation
                                    [1]
                                         
                                    (ii)
                                    The potential energy in the spring when the displacement x = 0.1 m
                                    [1]
                                      Assess your score
                                        
                                      Key Concepts
                                      Energy in SHM

                                      Question 5c

                                      Marks: 4

                                      The block used in the same mass-spring system has a mass m of 25 g. The maximum kinetic energy of the block is 40 mJ.

                                      (c)
                                      Calculate the maximum velocity of the oscillating block
                                      [4]
                                        Assess your score
                                          
                                        Key Concepts
                                        Energy in SHM

                                        Question 5d

                                        Marks: 2

                                        The spring constant k of the spring used is 1.8 N m−1

                                        (d)
                                        Calculate the restoring force acting on the mass-spring system at amplitude x0
                                        [2]
                                          Assess your score