4Representing wavesThere are two main ways of representing a wave on a graph.graphing an oscillation in time:amplitudeytperiodThis graph represents how y changes with time. It could be an oscillation of voltage, displacement, pressure, or any other suitable variable, depending on the context.
5Representing wavesThere are two main ways of representing a wave on a graph.graphing an oscillation in space:amplitudeyxwavelengthThis graph represents how y changes along an axis x in space. It could be a wave of displacement or pressure, or any other suitable variable, depending on the context.
6y t y x Waves in time and space These two waveforms look the same, but they each give different information about the wave they represent.amplitudeytperiodamplitudeyxwavelengthAlways label your axes!
8Using an oscilloscope Teacher notes This activity could be used as a whole-class demonstration of how an oscilloscope and a signal generator are operated. The controls on both have been simplified to include only the most important features. Students could be asked to suggest suitable settings on the oscilloscope to display a signal of a chosen frequency and amplitude from the signal generator. It should be made clear to students that an oscilloscope displays a waveform based on a varying voltage signal; the image on the screen is not a true wave.
13Pitch and loudnessThe shorter the wavelength of a sound, or the higher the frequency, the higher the pitch to the human ear. The loudness of a sound depends on the amplitude of the wave.Which of these traces shows the louder sound and which shows the sound with the higher pitch?higher pitchlouderNot every note of the same pitch sounds the same. The waveform of a wave determines the quality of the sound.
15Sonar distance = speed × time One practical application of ultrasound is sonar.Originally an acronym for ‘SOund Navigation And Ranging’, sonar uses the same principle as echolocation in animals. A signal is sent out, and the time taken for it to return to its source after reflecting from a surface, such as a lake bed, is measured.Knowing the speed of sound in water, it is then possible to calculate the distance the sound has travelled using this equation:distance = speed × time
16Depth evaluation using ultrasound A ship has recorded the following trace while using sonar to map the bottom of a lake. The traces are 0.01 s apart, and sound travels at 1500 m/s in water. How deep is the lake?transmitted signalreflected signaldistance = speed × time= 1500 × 0.01= 15 mHowever, this is not the depth of the lake! This is the distance the sound has travelled, down to the lakebed and back up again.depth of the lake = 15 2= 7.5 m
24Describing diffraction When waves pass through a gap they diffract. This means they spread out on the far side of the gap, changing shape as they pass through it.Maximum diffraction occurs when the gap size is equal to the wavelength of the waves.If the gap is much smaller than the wavelength, the waves cannot pass through the gap at all.If the gap is much larger than the wavelength, only the edges of the waves diffract.When waves pass an obstacle on only one side, only those edges are diffracted.
28Interference of sound What caused the pattern of loud and quiet spots? Both speakers produce identical sounds. When the sound from one speaker meets the sound from the other, the two waves interact with each other. This is known as interference.If the waves are in phase, they reinforce each other.If the waves are out of phase, they cancel each other out.++==This is constructive interference.This is destructive interference.
32PolarizationElectromagnetic waves (such as light) ‘oscillate’ in three dimensions, shown by the green and the blue waves below:unpolarized wavepolarized wavepolarizing filterWhen these waves pass through a polarizing filter, only one plane is able to get through (the blue one in this case). The other parts of the wave are blocked. This is polarization. If another slit at 90 degrees is placed in the waves path, then none of the wave can get through.
36Sending signals into space Some radio waves follow the contours of the Earth. These are called ground waves. These are typically waves with a frequency of 3–3,000 kHz because their long wavelength means they diffract around the curves of the Earth’s surface.Radio waves that refract through the ionosphere and return to Earth, giving the impression of reflection, are called sky waves. Their frequencies are 3–30 MHz.Teacher notesSee the ‘Reflection and Refraction’ presentation for more information on refraction.At frequencies over 30 MHz, radio waves can pass completely through the ionosphere and into space. These are called space waves.36
37Communicating with satellites Space waves are used to communicate with satellites. These waves are known as microwaves because of their short wavelength compared to other radio waves.Microwaves only diffract by a small amount due to this short wavelength, so they can be sent to a satellite in a thin beam to save energy. The satellite can then send a second beam back to earth in response.Teacher notesSee the ‘Orbits’ presentation for more information on the different types of satellite orbit.Radio waves with a frequency of greater than 30 GHz are easily absorbed and scattered by dust and water in the atmosphere, so they have little practical use.
38Identifying wave behaviour What is happening to the radio signals in this picture?Teacher notesThis illustration contains several examples of wave phenomena, for example:Long-, medium- and short wave radio signals are transmitted from a central mast.The radio waves propagate through space.The long wave signal propagates as a ground wave and is received at a television aerial.The medium wave signal propagates through the atmosphere until it reaches the ionosphere. Here it refracts, changing direction and propagating back down through the atmosphere to be received as a radio station. The refraction through the ionosphere gives the appearance of reflection. This is a sky wave.The short wave signal propagates through the ionosphere to an orbiting satellite. It is a space wave.Another medium wave signal is being transmitted by the pirate radio station. This is on the same frequency as the radio signal from the central mast, so the two signals interfere, and the van driver cannot tune his radio properly.
41GlossaryGlossaryamplitude – The maximum distance any point in a wave moves from its mean position.amplitude modulation (AM) – A form of radio transmission in which the information signal is encoded by creating variations in the amplitude of a carrier wave.carrier wave – A wave that can be modified by an information signal to encode the information for radio transmission.constructive interference – Two (or more) waves combine with their peaks and troughs in phase with each other, to produce a resultant wave with greater amplitude than the original waves.destructive interference – Two (or more) waves combine with their peaks and troughs out of phase with each other, to produce a resultant wave with a smaller amplitude than the original waves.diffraction – The spreading of a wave after it moves through a gap or past an obstacle.frequency – The number of waves passing a point each second. It is measured in hertz (Hz).ground wave – A component of a radio transmission that travels around the contours of the Earth, close to the ground.interference – The interaction of two or more waves of the same type when superimposed on each other.medium – The material through which a wave propagates.microphone – A device that converts sound waves into an electrical signal.monochromatic light – Light consisting of waves of one specific wavelength.oscilloscope – An instrument that displays an electrical signal on a screen in real time.pitch – The audible characteristic of a sound that is determined by its frequency. A higher frequency sound wave has a higher pitch.polarization – A property of transverse waves, which describes the plane in which the wave oscillates. Polarization can also refer to the process of restricting a wave to one plane.polaroid lens – A lens that polarizes light, such as that used in sunglasses to reduce glare from horizontal surfaces.propagation – A term for the movement of waves through a medium, which expresses the idea that the wave and its associated energy travel forward while there is no bulk movement of the medium.reflection – When a wave changes direction by ‘bouncing’ off a surface or a boundary between two media of different densities.refraction – When a wave changes direction when it passes through a boundary into a new medium (or zone) where its speed of propagation is different from that in the old.scattering – When a travelling wave is deflected from its course by one or more obstacles, such as dust particles in the atmosphere.signal generator – An instrument designed to produce a varying AS output with adjustable amplitude, frequency and waveform.sky wave – A radio wave with a frequency of between 3 and 30 MHz, which can be transmitted a greater distance than ground waves via refraction through the ionosphere.Sonar – The use of sound waves underwater for imaging and echolocation (originally ‘Sound Navigation And Ranging’)space wave – A radio wave with a frequency of over 30 MHz, which can be transmitted through the ionosphere into space.ultrasound – Sound above the frequency range of human hearing (>20 kHz).wavelength – The distance between two matching points on neighbouring waves.wave speed – The speed at which a wave propagates.Young’s fringes – The interference pattern observed when monochromatic light is passed through a pair of slits of similar width to the wavelength of the light.
43Multiple-choice quiz Teacher notes This multiple-choice quiz could be used as a plenary activity to assess students’ understanding of waves. The questions can be skipped through without answering by clicking “next”. Students could be asked to complete the questions in their books and the activity could be concluded by completion on the IWB.