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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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