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14 Worksheet (AS)
Data needed to answer questions can be found in the Data, formulae and relationships sheet.
1     The diagram shows a graph of the displacement of a wave.


    Displacement                   X




                                                                                         Time




      What property of the wave is X?                                                                           [1]
      A   amplitude
      B   frequency
      C   period
      D   wavelength
2     The graph shows the displacement of particles in a sound wave. Which distance, on the graph,
      represents the amplitude of the wave?




                                                                                                                [1]




AS and A Level Physics                                    Original material © Cambridge University Press 2010     1
14 Worksheet (AS)

3   Which of the following cannot be polarised?                                                                  [1]
    A       infrared waves
    B       microwaves
    C       sound waves
    D       ultraviolet waves
4   Red light has a wavelength of 684 nm. What is its frequency?                                                 [1]
                     2
    A       2.05 × 10 Hz
    B       4.39 × 105 Hz
    C       4.39 × 1014 Hz
    D       2.05 × 1020 Hz
5   An oscilloscope is connected to a microphone. The diagram shows the trace displayed when a note
    is played.




    A note is played of half the amplitude and twice the frequency. The settings of the oscilloscope
    remain unchanged. Which diagram shows the trace for this note?                                   [1]


        A                                             B




        C                                              D




AS and A Level Physics                                     Original material © Cambridge University Press 2010     2
14 Worksheet (AS)

6   Calculate the frequency of the following waves:
    a red light of wavelength 6.5 × 10−7 m emitted from a light-emitting diode                                 [2]
    b ultrasound of wavelength 7.0 mm emitted by a bat.                                                        [2]
7   In a water tank, a dipper oscillating at a frequency of 30 Hz produces surface water waves of
    wavelength 2.5 cm.
    a Calculate the speed of the water waves.                                                                  [2]
    b Determine the wavelength of the waves when the frequency of the dipper is doubled.                       [2]
8   The graph shows the displacement of particles in a sound wave.




    a    Calculate:
         i the period of the wave                                                                              [2]
         ii the frequency of the wave.                                                                         [1]
    b On a copy of the diagram draw a wave of the same frequency but four times the intensity.                 [1]
9   An oscilloscope has its time-base and Y-sensitivity (Y-gain) set on 0.5 ms cm−1 and 0.5 V cm−1,
    respectively. A person whistles into a microphone connected to the oscilloscope. The trace
    displayed on the oscilloscope screen is shown below.




    a Determine the frequency of the sound wave.                                                               [2]
    b Calculate the wavelength of the sound produced by the whistle.                                           [2]




AS and A Level Physics                                   Original material © Cambridge University Press 2010     3
14 Worksheet (AS)

10 You can use the following equation to determine the intensity of a wave:
                                 power
          intensity =
                         cross - sectional area
    This equation can be applied to all waves, including sound.
    The intensity of sound at a certain distance from a loudspeaker is 3.5 × 10−3 W m−2.
    The amplitude of the sound waves at this point is known to be 0.45 mm. Calculate:
    a the power transmitted through a cross-sectional area of 8.0 × 10−5 m2 when the intensity
      of sound is 3.5 × 10−3 W m–2                                                                               [2]
    b the intensity of sound where the amplitude is 0.90 mm                                                      [3]
    c the amplitude of the sound waves where the intensity is 5.6 × 10−2 W m−2.                                  [3]
11 The intensity of a wave may be defined as the power transmitted per unit cross-sectional area at
   right angles to the direction of travel.
    a    For a point source of light, explain why the intensity I at a distance r away from the source
         obeys an inverse square law with distance, that is:
                     1
                I∝      .                                                                                        [3]
                     r2
    b The intensity of visible light from the Sun reaching the upper parts of our atmosphere is
      about 1.4 kW m−2. The Sun has a radius of 7.0 × 108 m and is 1.5 × 1011 m from the Earth.
      Calculate:
         i the intensity of visible light emitted from the Sun’s surface                                         [3]
         ii the total power radiated by the Sun in the visible region of the electromagnetic
             spectrum                                                                                            [2]
         iii the intensity of light from the Sun at the planet Neptune.
             (Neptune is 4.5 × 1012 m from the Sun.)                                                             [3]


                                                                  Total:                       Score:            %
                                                                                40




AS and A Level Physics                                     Original material © Cambridge University Press 2010     4

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Worksheet 9

  • 1. 14 Worksheet (AS) Data needed to answer questions can be found in the Data, formulae and relationships sheet. 1 The diagram shows a graph of the displacement of a wave. Displacement X Time What property of the wave is X? [1] A amplitude B frequency C period D wavelength 2 The graph shows the displacement of particles in a sound wave. Which distance, on the graph, represents the amplitude of the wave? [1] AS and A Level Physics Original material © Cambridge University Press 2010 1
  • 2. 14 Worksheet (AS) 3 Which of the following cannot be polarised? [1] A infrared waves B microwaves C sound waves D ultraviolet waves 4 Red light has a wavelength of 684 nm. What is its frequency? [1] 2 A 2.05 × 10 Hz B 4.39 × 105 Hz C 4.39 × 1014 Hz D 2.05 × 1020 Hz 5 An oscilloscope is connected to a microphone. The diagram shows the trace displayed when a note is played. A note is played of half the amplitude and twice the frequency. The settings of the oscilloscope remain unchanged. Which diagram shows the trace for this note? [1] A B C D AS and A Level Physics Original material © Cambridge University Press 2010 2
  • 3. 14 Worksheet (AS) 6 Calculate the frequency of the following waves: a red light of wavelength 6.5 × 10−7 m emitted from a light-emitting diode [2] b ultrasound of wavelength 7.0 mm emitted by a bat. [2] 7 In a water tank, a dipper oscillating at a frequency of 30 Hz produces surface water waves of wavelength 2.5 cm. a Calculate the speed of the water waves. [2] b Determine the wavelength of the waves when the frequency of the dipper is doubled. [2] 8 The graph shows the displacement of particles in a sound wave. a Calculate: i the period of the wave [2] ii the frequency of the wave. [1] b On a copy of the diagram draw a wave of the same frequency but four times the intensity. [1] 9 An oscilloscope has its time-base and Y-sensitivity (Y-gain) set on 0.5 ms cm−1 and 0.5 V cm−1, respectively. A person whistles into a microphone connected to the oscilloscope. The trace displayed on the oscilloscope screen is shown below. a Determine the frequency of the sound wave. [2] b Calculate the wavelength of the sound produced by the whistle. [2] AS and A Level Physics Original material © Cambridge University Press 2010 3
  • 4. 14 Worksheet (AS) 10 You can use the following equation to determine the intensity of a wave: power intensity = cross - sectional area This equation can be applied to all waves, including sound. The intensity of sound at a certain distance from a loudspeaker is 3.5 × 10−3 W m−2. The amplitude of the sound waves at this point is known to be 0.45 mm. Calculate: a the power transmitted through a cross-sectional area of 8.0 × 10−5 m2 when the intensity of sound is 3.5 × 10−3 W m–2 [2] b the intensity of sound where the amplitude is 0.90 mm [3] c the amplitude of the sound waves where the intensity is 5.6 × 10−2 W m−2. [3] 11 The intensity of a wave may be defined as the power transmitted per unit cross-sectional area at right angles to the direction of travel. a For a point source of light, explain why the intensity I at a distance r away from the source obeys an inverse square law with distance, that is: 1 I∝ . [3] r2 b The intensity of visible light from the Sun reaching the upper parts of our atmosphere is about 1.4 kW m−2. The Sun has a radius of 7.0 × 108 m and is 1.5 × 1011 m from the Earth. Calculate: i the intensity of visible light emitted from the Sun’s surface [3] ii the total power radiated by the Sun in the visible region of the electromagnetic spectrum [2] iii the intensity of light from the Sun at the planet Neptune. (Neptune is 4.5 × 1012 m from the Sun.) [3] Total: Score: % 40 AS and A Level Physics Original material © Cambridge University Press 2010 4