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DP IB Physics: HL

Topic Questions

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1.1 Measurements in Physics

Question 1a

Marks: 3
(a)
Match the correct quantity to the SI base unit
[3]
1-1-1a
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    Key Concepts
    SI Units

    Question 1b

    Marks: 2

    Newton's second law of motion describes the relationship between force, F, mass, m, and acceleration, a

    F = ma

    The derived unit for force is the newton (N).

     

    (b)
    Using Newton's second law, determine the SI base units of force
    [2]
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      Key Concepts
      SI Units

      Question 1c

      Marks: 2

      The kinetic energy equation describes the relationship between energy E, mass, m, and velocity, v.

      E 1 halfmv 2

      The derived unit for energy is the joule (J).

        

      (c)
      Using the kinetic energy equation, determine the SI base units for energy
      [2]
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        Key Concepts
        SI Units

        Question 1d

        Marks: 2

        The derived unit for power, P, is the watt (W).

        (d)
        Given that power is the energy transferred, E, per unit time, t, deduce the SI base units for power

        [2]

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          Key Concepts
          SI Units

          Question 2a

          Marks: 1
          (a)
          Outline the reason why scientists use scientific notation
          [1]
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            Question 2b

            Marks: 3
            (b)
            Express the following numbers in scientific notation
             
            (i)
            491
            [1]
            (ii)
            54 070
            [1]
            (iii)
            2 310 000
            [1]
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              Question 2c

              Marks: 3
              (c)
              Express the following numbers in scientific notation
               
              (i)
              0.011
              [1]
              (ii)
              0.000503
              [1]
              (iii)
              0.0000045
              [1]
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                Question 2d

                Marks: 3
                (d)
                Express the following numbers in their original form
                 
                (i)
                4.031 × 103
                [1]
                (ii)
                6.7 × 106
                [1]
                (iii)
                7.71 × 10−5
                [1]
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                  Question 3a

                  Marks: 3
                  (a)
                  Complete the table by adding in the missing names of the unit prefixes and their corresponding metric multiplier:

                  Unit Prefix

                  Multiplier

                  tera

                   

                   

                  109 

                   

                  10

                   centi

                   10−2

                  milli

                   

                  micro

                   

                   

                  10−9

                  pico

                  10−12

                  [3]

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                    Question 3b

                    Marks: 3
                    (b)
                    Convert the following measurements into SI units using scientific notation
                     
                    (i)
                    9.3 MJ to J
                    [1]
                    (ii)
                    7.4 kW to W
                    [1]
                    (iii)
                    10 mm to m
                    [1]
                      Assess your score
                        

                      Question 3c

                      Marks: 3
                      (c)
                      State the number of significant figures in the following measurements
                       
                      (i)
                      93 100 m
                      [1]
                      (ii)
                      4003 kg
                      [1]
                      (iii)
                      0.0052 J
                      [1]
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                        Key Concepts
                        Significant Figures

                        Question 3d

                        Marks: 3
                        (d)
                        State the measurement 103 660 pg to 
                         
                        (i)
                        4 significant figures
                        [1]
                        (ii)
                        2 significant figures
                        [1]
                        (iii)
                        1 significant figure
                        [1]
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                          Key Concepts
                          Significant Figures

                          Question 4a

                          Marks: 1

                          The distance from Earth to the edge of the observable universe is approximately                4.40 × 1026 m.

                          (a)
                          State the order of magnitude for this distance
                          [1]
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                            Key Concepts
                            Orders of Magnitude

                            Question 4b

                            Marks: 3
                            (b)
                            State the order of magnitude that is: 
                             
                            (i)
                            100 times larger than 5.5 × 102
                            [1]
                            (ii)
                            1 000 000 times smaller than 9.1 × 104
                            [1]
                            (iii)
                            1000 times larger than 3 × 10−20
                            [1]
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                              Key Concepts
                              Orders of Magnitude

                              Question 4c

                              Marks: 3
                              (c)
                              Match the description to the correct order of magnitude
                              1-1-4c
                              [3]
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                                Key Concepts
                                Orders of Magnitude

                                Question 4d

                                Marks: 4

                                The radius of the Earth is approximately 6.4 × 106 m.

                                (d)
                                Using an approximation for the typical arm span of a person, estimate the number of people it would take to circle the Earth holding hands.
                                [4]
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                                  Question 5a

                                  Marks: 3
                                  (a)
                                  Convert 1 year into seconds. Give your answer to 2 significant figures in scientific notation.
                                  [3]
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                                    Question 5b

                                    Marks: 3

                                    The wave equation describes the relationship between wave speed, c, frequency, f, and wavelength, λ.

                                    c =

                                    UV rays travel at the speed of light and have a frequency of 900 × 1012 Hz.

                                     

                                    (b)
                                    Calculate the wavelength of the UV ray in nm. 
                                    [3]
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                                      Question 5c

                                      Marks: 2

                                      UV rays travel from the Sun to the Earth in 500 ms.

                                      (c)
                                      State the relevant SI base unit for time and convert the given value to its SI base unit.
                                      [2]
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                                        Key Concepts
                                        SI Units

                                        Question 5d

                                        Marks: 4

                                        A light-year is the distance that light travels in a year. 

                                        (d)
                                        Calculate the value of 1 light-year in km. You may use your answer from part (a) in your calculation.
                                        [4]
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