Ripple Waves

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    Ripple Tanks

     The Ripple Tanks is a useful piece of apparatus for demonstrating wave properties.

    It consists of shallow rectangular water lled tray with a glass base and an

    overhead light source. When an object is placed in the water the light passingthrough the water from the overhead light is disturbed. This disturbance can be

    viewed on a card placed on the oor. To see this eect more clearly! e"periments

    with a ripple tank should be conducted in a dark room.

    Waves can be made in the tank by oscillating an object on the surface of the

    water. The waves travel away from the object in all directions.

    #traight objects make waves with plane waveforms. Round objects make waves with

    curved wavefronts. The inner sides of the tray have absorbing barriers to minimise

    reections.

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    Waves can be generated in a more controllable way by using small beam of wood

    suspended from rubber bands so as to just break the water surface. $ small motor

    with an eccentric cam is mounted on the beam which causes it to vibrate when the

    motor is operating.

    Waves travel away from the beam across the surface of the water in the tank. These

    are known as plane waves as the front of each wave forms a straight line.

    It is also possible to create circular waves usingthe same method. The only dierence is that

    circular object! and not the beam of wood! is in

    contact with the water%s surface. This is shown in

    the photograph. &otice that the circular dipper is

    only just in contact with the water. 'ou will also

    see that we have used a crocodile clip as our

    eccentric cam.

      (y adjusting the speed of the motor! waves of diering wavelength may be

    generated.

    If the motor turns slowly! waves of longer wavelength are produced.

    If the motor turns )uickly! waves of shorter wavelength are produced.

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    If we add a stroboscopic light source to the apparatus! measurement of the wave

    can be obtained.

    If the light is ashing at the same fre)uency as the wave! the shadow will appear to

    be stationary* This is because the wave travels e"actly one complete wavelengthbetween the ashes.

     Therefore! If the fre)uency of the strobe is known! so is the fre)uency! f! of the

    wave. We can the measure the wavelength using a ruler. These values are used in

    the +rogressive Waves section to verify the relationship between. V, f,

     The ripple tank can be used to demonstrate the main properties which all waves

    possess. These are reection! refraction and diraction.

    Refection

    $ plane wave strikes an angled barrier. The reected wave

    can be seen moving to the left

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    Reraction

    $ plane wave travels over an angled obstacle. The wave

    gets refracted twice! once away from the normal when

    meeting the obstacle and then once towards the normal

    when leaving the obstacle.

    Diraction

    $ plane wave strikes a barrier with a small gap in the middle.

    $ small part of the wave is allowed to pass through the hole

    and diracts into a circular wave. This wave is very weak as

    it only has a small part of the original wave%s energy.

    (y using the ri,e tank the wave property of a reection can be demonstrated. $

    straight barrier is placed in the path of some plane waves. The waves are reectedat the barrier and move in a new direction. They remain plane waves after

    reection.

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    $ll types of waves may also be reected. #ound waves can reect from walls or

    buildings. In this way sound can reach places indirectly.

    -ight waves also reect o many surfaces. In all cases the waves move o in a new

    direction after striking the reecting surface.

    The Terminology o Refected Waves

    Waves striking a reective surface are called incident waves. Waves reected from a

    surface are called reected waves. $ line perpendicular to the surface at the point

    of reection is called a normal. Incident waves may meet the surface any angle. The

    angle between the normal and the direction of motion of the wave at the boundary

    is called the angle if incidence i). The angle between the normal and the direction

    of motion of the reected wave is called the angle of reection r/.

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    (y making the reecting surface curved! It%s possible to focus the incident wave.

     The eect is demonstrated by using the curved reective barrier shown here in the

    photograph.

     The barrier is causing the wave%s energy to be concentrated at a point the

    focus/.The same principle is used to focus electromagnetic waves transmitted by

    television satellite.

    Reraction

    Refraction is the change in the direction of a wave when its velocity changes at a

    boundary! this gives rise to a corresponding change in the wavelength of the wave!but the fre)uency remains unchanged.

    In the ripple tank this may be shown by changing the depth if the water in one

    region of the tank! and allowing waves to pass into this region at an angle.

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     The waves change direction when passing into the shallow region dierent

    medium/. In this case the waves travel more slowly in the shallow region! and this

    causes them to be refracted at the boundary between the two.

    If the waves pass into a curve0shaped region of shallower water! then they can be

    shown to converge.

     This is achieved by putting a suitably shaped piece if glass into the tank.

     The same eect occurs when light waves pass through a glass lens.

    -ight waves slow down when they enter glass! just as water waves slow down when

    they enter a shallow region. Refraction occurs in light in a similar manner.

    If a beam ray/ of light passes through a rectangular glass prism with its sides

    perpendicular to the beam! the light appears to pass straight through! unaected

    by the glass.

    If the glass block is rotated so that the light strikes the side of the block at an angle!

    the beam is refracted as it enters the block and also as it leaves it.

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    The terminology o Reracted Waves

    Waves moving from one medium to another and meeting a boundary are called

    incident waves.

    Waves moving from one medium to

    another and leaving a boundary are

    called refracted waves.

    $ line perpendicular to the boundary

    between the two media is called anormal. Incident waves may meet the

    boundary at an angle. The angle

    between the normal and the direction of 

    motion of the wave at the boundary is

    called the angle of incidence. The angle

    between the normal and the direction of the motion of the refracted wave is called

    the angle if refraction.

     The light is refracted at both surfaces. There are therefore two angles if incidence

    and refraction as the light passes through the block! one at the rst surface as it

    enters the block and the other at the second surface as it leaves it. (oth are

    measured from their respective normal.

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    In this case the light is refracted

    towards the normal on entering

    the block! and away from the

    normal on leaving it.

    1n entering the glass! the angle of incidence is greater than the angle

    of refraction.

    1n leaving the glass the angle of 

    incidence is less than the angle of 

    refraction.

    Diraction

    2iraction is the property e"hibited by waves when they encounter an edge or

    passing through an aperture! such as a hole or slit.

    When diraction occurs! the direction of propagation and the shape of the wave

    may change.

    If plane water waves meet an aperture in a barrier! diraction eects are observed.

    If the aperture is large compared to the wavelength of the waves! a small eectmay be seen at the edge if the wave after passing through the aperture. The edges

    of the wave become very slightly curved. This is known as edge diraction.

    If the wavelength of the waves is about the same si3e as the aperture! much more

    noticeable diraction occurs. The waves emerge from the aperture with a curved

    wavefront. They spread out in all direction with an apparent centre at the aperture.

     This is often referred to as single slit diraction.

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    -ight may be diracted in a similar way to water waves.

    If a narrow parallel beam of light falls

    on a wide aperture! the edgediraction eect in negligible. The

    light continuous in its straight lines

    after the aperture and can be made

    to fall on a screen! with no apparent

    edge diraction being visible to the

    naked eye.

    If light passes through very narrow

    slits! diraction eects can be

    demonstrated. $s the wavelength of 

    light is very small! around 455nanometres! the diraction eects

    are not noticed in everyday

    observations of the behaviour of 

    light. They can! however! be demonstrated in the laboratory using laser and very

    ne optical slits or diraction gratings.

    Intererence

    When two spherical are attached to the oscillating beam in a ripple tank! both willproduce circular progressive travelling/ waves on the water surface.

    $s they are created by the same vibrating source! these two sets of waves are

    coherent 6 similar in amplitude! wavelength and phase.

    $s they progress through the tank they overlap! When this occurs the two sets of 

    waves interfere with each other.

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    When two wavefronts meet! at some point in the tank they are e"actly in phase with

    each other. These are known as antinodes. $t this point interference occurs and the

    amplitude of the wave is doubled.

    $t the other point in the tank called nodes the two wavefronts meet e"actly out of 

    phase with each other and they cancel each out by destructive interference.

     The diagram shows two circular progressive waves which are coherent.

    Where two waves of the same type meet theycombine to give twice the amplitude. This point is

    called an antinode. The red dots on the diagram

    indicated antinode.

    $t the point where a trough meets a crest!

    cancellation occurs. This point is called a node.

     The blue dots indicate nodes.

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     The arrows show that the channels of nodes and antinodes form. The faint channels

    are where nodes are placed and cancellation has occurred.