WAV Question Pack (1)

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    1. A transverse travelling wave has amplitude A0and wavelength .

    The distance between a crest and its neighbouring trough, measured in the direction of energy

    transfer of the wave is equal to

    A. A0.

    B. 2A0.

    . 2

    .

    !. .(1)

    2. "ne end of a long string is vibrated at a constant frequencyf. A travelling wave of wavelength

    and speed vis set up on the string.

    The frequency of vibration is doubled but the tension in the string is unchanged. #hich of the

    following shows the wavelength and speed of the new travelling wave$

    Wavelength Speed

    A. 2

    v

    B.2

    2v

    . 2 v

    !. 2 2v

    (1)

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    3. A water surface wave %ripple& is travelling to the right on the surface of a la'e. The wave has

    period T. The diagram below shows the surface of the la'e at a particular instant of time. A

    piece of cor' is floating in the water in the position shown.

    #hich is the correct position of the cor' a time(

    T

    later$

    c o r '

    A . B .

    . ! .(1)

    4. A source produces water waves of frequency )0 *+. The graph shows the variation with

    hori+ontal position of the vertical displacement of the surface of water at one instant in time.

    v e r t i c a l d i s p l a c e m e n t , c m0 . (

    0

    - 0 . (

    0 ) . 0 ( . 0 . 02 . 0 h o r i + o n t a l p o s i t i o n , c m

    The speed of the water waves is

    A. 0.20 cm s/)

    .

    B. (.0 cm s/)

    .

    . )0 cm s/).

    !. 20 cm s/)

    .(1)

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    7. A wave is travelling through a medium. The diagram shows the variation with time tof the

    displacement dof a particle of the medium from t 0 to t 23 ms.

    ) . 3

    )

    0 . 3

    0

    - 0 . 3

    - )

    - ) . 3

    2 32 0) 3) 030

    d , c m

    t , m s

    #hich of the following correctly gives the frequency and the amplitude of the wave$

    frequency / H a!pl"tude / c!

    A. 2.0 )0-2 2.0

    B. 2.0 )0-2 ).0

    . 30 2.0

    !. 30 ).0

    (1)

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    #. The diagram below shows a transverse wave on a string. The wave is moving from right to left.

    5

    6

    d i r e c t i o n o f w a v e

    u p w a r d s

    l e f t r i g h t

    d o w n w a r d s

    1n the position shown, point 5 has +ero displacement and point 6 is at a position of ma4imumdisplacement. #hich $neof the following gives the subsequent direction of motion of point 5

    and of point 6$

    %$"nt & %$"nt '

    A. left left

    B. upwards upwards

    . downwards left

    !. downwards upwards

    (1)

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    . lane wavefronts are incident on a barrier as shown below.

    b a r r i e r

    #hich of the following best shows the shape of the wavefronts on the other side of the barrier$

    A . B .

    . ! .

    (1)

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    1. #ave properties

    %a& By reference to the energy of a travelling wave, state what is meant by

    %i& a ray.

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

    .........................................................................................................................(1)

    %ii& wave speed.

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

    .........................................................................................................................(1)

    %b& The graph below shows the variation with time tof the displacementxA

    of wave A as it

    passes through a point .

    . 0

    2 . 0

    ) . 0

    0 . 0

    - ) . 0

    - 2 . 0

    - . 0

    ) 0 . 07 . 08 . 0( . 02 . 00 . 0 t , m sx , m mA

    W a v e *

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    The graph below shows the variation with time tof the displacementxBof wave B as it

    passes through point .

    2 . 0

    ) . 0

    0 . 0

    - ) . 0

    - 2 . 0

    ) 0 . 07 . 08 . 0( . 02 . 00 . 0 t , m sx , m mB

    W a v e +

    %i& alculate the frequency of the waves.

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

    .........................................................................................................................(1)

    %ii& The waves pass simultaneously through point . 9se the graphs to determine the

    resultant displacement at point of the two waves at time t ).0 ms and at time t

    7.0 ms.

    At t ).0 ms: ...............................................................................................

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

    At t 7.0 ms: ...............................................................................................

    ...............................................................................................(3)

    (,$tal 6 !ar-)

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    11. #aves on a string

    A travelling wave is created on a string. The graph below shows the variation with time tof the

    displacementyof a particular point on the string.

    2 . 0

    ) . 0

    0 . 0

    - ) . 0

    - 2 . 0

    0 . 30 . (0 . 0 . 20 . )0 . 0

    t , m s

    / r a p h 1 , m my

    The variation with distancexof the displacementyof the string at t 0 is shown below.

    2 . 0

    ) . 0

    0 . 0

    - ) . 0

    - 2 . 0

    0 . 30 . (0 . 0 . 20 . )0 . 0x , c m

    / r a p h 2 , m my

    %a& 9se information from the graphs to calculate, for this wave,

    %i& the wavelength;

    .........................................................................................................................(1)

    %ii& the frequency;

    .........................................................................................................................(2)

    %iii& the speed of the wave.

    .........................................................................................................................(1)

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    %b& The wave is moving from left to right and has period T.

    %i& "n graph 1, draw a labelled line to indicate the amplitude of the wave.(1)

    %ii& "n graph 2, draw the displacement of the string at.

    (

    Tt=

    (2)

    (,$tal 7 !ar-)

    12. Travelling waves

    %a&

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    %ii& 9se the graphs to determine the amplitude, wavelength, frequency and speed of the

    wave.

    Amplitude: .................................................................................................(1)

    #avelength: .................................................................................................(1)

    >requency: .................................................................................................

    .................................................................................................(1)

    =peed: .................................................................................................

    .................................................................................................(1)

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    ?efraction of waves

    %b& The diagram below shows plane wavefronts incident on a boundary between two media A

    and B.

    m e d i u m A

    m e d i u m B

    The ratio.(.)is

    Amediumofinde4refractive

    Bmediumofinde4refractive

    The angle between an incident wavefront and the normal to the boundary is 30.

    %i& alculate the angle between a refracted wavefront and the normal to the boundary.

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

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

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

    .........................................................................................................................(3)

    %ii& "n the diagram above, construct threewavefronts to show the refraction of the

    wave at the boundary.(3)

    (,$tal 11 !ar-)

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