Topic 4 Waves Student Workbook

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    Name

    Class..

    IB Physics Topic 4. Waves

    STUDENT WORKBOOK

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    Questions Worksheet #1 Introduction to SHM( /23)

    ALL

    1. Estimate the time periods of each of the following motions and hence calculate (to 1 sig.fig.) their

    frequencies.

    (a)child on a playground swing

    period = .s [1]

    frequency = Hz [1]

    (b)a baby rocked in its mothers arms

    period = .s [1]

    frequency = Hz [1]

    (c)the free swing of your leg from your hip

    period = .s [1]

    frequency = Hz [1]

    [Total: 6]

    2.The pendulum bob of a grandfather clock swings through an arc of length 196mm from end to end.

    The period of the swing is 2.00 s.

    (a)Explain what is meant by the period of the swing.

    .. [2]

    Continued on next page

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    (b)What is the amplitude of the swing?

    Amplitude = m [1]

    (c)What is the frequency of the bob?

    Frequency = Unit [2]

    3.What is (i)the frequency (ii)the period of:

    (a)the rise and fall of the sea

    i). Unit . [2]

    ii). Unit [2]

    (b)the beat of a heart

    i). Unit . [2]

    ii). Unit [2]

    (c)piano strings which oscillate when middle C is played

    i). Unit . [2]

    ii). Unit [2]

    [Total: 17]

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    Questions Worksheet #2 The Wave Equation( /38)

    1 . (a) Define the following terms associated with waves.

    (i)frequency,f

    ...................................................................................................................................................................

    .............................................................................................................................................................. [1]

    (ii) wavelength,

    ....................................................................................................................................................................

    ............................................................................................................................................................... [1]

    (b) Use the definitions in (a) to deduce an equation for the speed vof a wave in terms

    of

    and

    f.

    [3]

    (c) (i) The speed of sound in air is about 340 m s1

    while light travels at a speed of 3.0 108 m s

    1.

    Calculate the time interval between seeing a flash of lightning, 1.0 km away, and hearing the sound ofthunder caused by the lightning.

    time interval = .................................... s [3]

    (ii) Describe how observers may estimate their distance away from the point of a flash of lightning.

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    .................................................................................................................................................................. [1]

    Continued on next page

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    (d) State two differences, other than their speeds, between sound and light waves.

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    .................................................................................................................................................................. [2][Total: 11]

    2. (a)Describe the differences between transverse and longitudinal waves.

    ..................................................................................................................................................................

    ..................................................................................................................................................................

    ..................................................................................................................................................................

    ............................................................................................................................................................ [2]

    (b)Fig. 3.1shows a progressive longitudinal wave formed in a slinky spring by an oscillatorconnected to a signal generator.

    Fig. 3.1

    OnFig. 3.1,

    (i) draw arrows to show the direction of the vibrations produced by the oscillatorlabel these V. [1]

    (ii) label with a C the centre of a compression on theslinky. [1]

    (iii) show the wavelength of the wave and label this. [1]

    (c) State and explain the effect on the wavelength of increasing the frequency of the oscillator.

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    .................................................................................................................................................................. [2]

    [Total: 7]

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    3. Fig. 4.1shows a displacement-time graph for a wave source.

    (a)Use Fig. 4.1to determine for this wave source

    (i)the amplitude

    amplitude = cm [1]

    (ii)the displacement when t = 1.80 ms

    displacement = cm [2]

    (iii)the period

    period = ms [1]

    (iv)the frequency.

    frequency = .Hz [2]

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    (b) The speed of the waves produced by this wave source is 3.0 102m s

    1. Calculate their wavelength.

    wavelength = m [2]

    [Total: 8]

    4. (a) (i) State what is meant by a progressive wave.

    ..................................................................................................................................

    ............................................................................................................................ [1]

    (ii) Describe in terms of the motions involved, the essential difference between longitudinal and

    transverseprogressive waves.

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    ...................................................................................................................................................................[ 2]

    (b) Describe how:

    plane, transverse water waves can be produced in a ripple tank

    the wavelength of these waves could be increased

    the speed of these waves could be reduced.

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    .......................................................................................................................................................................

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    ........................................................................................................................................................................

    .................................................................................................................................................................. [3]

    [Total: 6]

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    5. Fig. 4.1 shows an incorrect electromagnetic spectrum drawn by a student. The parts of the spectrum

    and the wavelengths are in the wrong order. The values of the wavelengths do not match the correct

    parts of the spectrum.

    (a)On Fig. 4.2, complete the table of the electromagnetic spectrum. Radio waves and their correct

    wavelength have been inserted for you.

    [3]

    (b) State the speed of all electromagnetic waves in a vacuum.

    ......................................