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Behaviour of Waves Lesson 1: Types of Waves Lesson 2: Wave Speed Reflection Lesson 3: Refraction Total Internal Reflection Lesson 4: Refraction in Water Lesson 5: Refractive Index Lesson 6: Refraction in Water Lesson 7: Refractive Index Lesson 8: Diffraction Lesson 9: Transmitting Information Lesson 10: Sound Stopwatch Graph Home Syllabus Double Award Properties of waves describe longitudinal and transverse waves in ropes, springs and water where appropriate state the meaning of amplitude, frequency, wavelength and period of a wave recall that waves transfer energy and information without transferring matter recall and use the relationship between the speed, frequency and wavelength of a wave: wave speed = frequency × wavelength v=f×λ use the relationship between frequency and time period: frequency = 1 / time period f=1/T use the above relationships in different contexts including sound waves and electromagnetic waves Light and sound recall that light waves are transverse waves which can be reflected and refracted recall that the angle of incidence equals the angle of reflection construct ray diagrams to illustrate the formation of a virtual image in a plane mirror describe experiments to investigate the refraction of light, using rectangular blocks, semicircular blocks and triangular prisms recall and use the relationship between refractive index, angle of incidence and angle of refraction n = sin (i) / sin (r) describe an experiment to determine the refractive index of glass, using a glass block describe the role of total internal reflection in transmitting information along optical fibres and in prisms recall and use the relationship between critical angle and refractive index sin c = 1 / n recall that sound waves are longitudinal waves which can be reflected recall that the frequency range for human hearing is 20 Hz – 20 000 Hz describe how to measure the speed of sound in air by a simple direct method Stopwatch Graph Home Syllabus Separate Science Properties of waves describe longitudinal and transverse waves in ropes, springs and water where appropriate state the meaning of amplitude, frequency, wavelength and period of a wave recall that waves transfer energy and information without transferring matter recall and use the relationship between the speed, frequency and wavelength of a wave: wave speed = frequency × wavelength v=f×λ use the relationship between frequency and time period: frequency = 1 / time period f=1/T use the above relationships in different contexts including sound waves and electromagnetic waves understand that waves can be diffracted through gaps or when they pass an edge, and that the extent of diffraction depends on the wavelength and the physical dimension of the gap Light and sound recall that light waves are transverse waves which can be reflected, refracted and diffracted recall that the angle of incidence equals the angle of reflection construct ray diagrams to illustrate the formation of a virtual image in a plane mirror describe experiments to investigate the refraction of light, using rectangular blocks, semicircular blocks and triangular prisms recall and use the relationship between refractive index, angle of incidence and angle of refraction n = sin(i) / sin(r) describe an experiment to determine the refractive index of glass, using a glass block describe the role of total internal reflection in transmitting information along optical fibres and in prisms recall the meaning of critical angle c recall and use the relationship between critical angle and refractive index sin c = 1 / n understand the difference between analogue and digital signals recall that sound waves are longitudinal waves which can be reflected, refracted and diffracted recall that the frequency range for human hearing is 20 Hz – 20 000 Hz describe how to measure the speed of sound in air by a simple direct method understand how an oscilloscope and microphone can be used to display a sound wave use an oscilloscope to determine the frequency of a sound wave and appreciate that the pitch of a sound depends on the frequency of vibration appreciate that the pitch of a sound depends on the frequency of vibration of the source appreciate that the loudness of a sound depends on the amplitude of vibration Stopwatch Graph Home Types of Waves 02/05/2017 Aims To define the properties of waves To identify the types of waves Starter: True or False 1) 2) 3) 4) 5) 6) Sound travels faster than light Sound travels faster in solid objects than in liquids or air Echoes are caused by sound waves bouncing of walls Sound waves are caused by the vibration of molecules Sound travels faster at the top of Mt. Everest Light waves bounce off walls Stopwatch Graph Home A Wave Waves transfer energy from one place to another The disturbance moves along the wave not the particles Stopwatch Graph Home A wave in the sea: • disturbance is molecules of water going up and down • medium = water Stopwatch Graph Home A Mexican Wave The Disturbance is the people going up and down. The medium is the crowd. Stopwatch Graph Home Count the number of complete vibrations in ten Frequency = 1 Hertz seconds and then work out the frequency of this wave Frequency = 1.4 Hertz Ten second timer Frequency = 0.5 Hertz Stopwatch Graph Home Note that the waves are carrying energy from one place to another but the water particles are not transferred. previous next Stopwatch Graph Home Frequency Number of waves per second Either passing one point or generated Symbol: f Units: Hz (s-1) Stopwatch Graph Home Period This is the duration of a wave How long it takes for one wave to occur Symbol: T Units: s Stopwatch Graph Home We often need to analyse waveforms produced b scientific instruments. For example:- A Cathode Ray Oscilloscope (CRO is used to monitor heartbeats. Steady Steve 1 second 0.5seconds Helen Heart-attack David Deadman Heart monitor time Stopwatch Graph Home Pictures of waves (waveforms) 1 mains voltage waveform 2 tuning fork 0.02 seconds 2.5milliseconds (0.0025second 3 Ultrasonic scanner 10 micro seconds (0.00001 seconds) Work out the frequency for these 3 waveforms Stopwatch Graph Home Which animals made these sounds? Pictures of waves (waveforms) Stopwatch Graph Home 1 Cow 0.004 seconds 2 Baby crying 0.5milliseconds (0.0005seconds) 3 Bat 10 micro seconds (0.00001 seconds) Pictures of waves (waveforms) Stopwatch Graph Home Wavelength Stopwatch Graph Home Wavelength The length of one complete wave peak to peak or trough to trough Symbol: λ Units: m Stopwatch Graph Home Which of the points is exactly one wavelength away from point A?Answer is E A B E C F G D The next 5 tasks will test to see if you have understood the idea of wavelength Stopwatch Graph Home 1 Match the highlighted letter to one which is e one wavelength away from it. A B C D E F G H I J K L M N O P Q R S T U V WX Stopwatch Graph Home 2 Match the highlighted letter to one which is e one wavelength away from it. A B C D E F G H I J K L M N O P Q R S T U V WX Stopwatch Graph Home 3 Match the highlighted letter to one which is e one wavelength away from it. A B C D E F G H I J K L M N O P Q R S T U V WX Stopwatch Graph Home 4 Match the highlighted letter to one which is e one wavelength away from it. A B C D E F G H I J K L M N O P Q R S T U V WX Stopwatch Graph Home 5 Match the highlighted letter to one which is e one wavelength away from it. A B C D E F G H I J K L M N O P Q R S T U V WX Stopwatch Graph Home Amplitude maximum disturbance caused by a wave measured from the middle to a peak or trough symbol: a units: m Stopwatch Graph Home Questions about amplitude Match the waveforms to the sounds A B C F D 1 an echo 2 a crescendo 3 a weak regular heartbeat 4 a strong regular heartbeat 5 a symbol being struck Click for answers Stopwatch Graph Home Transverse Waves Stopwatch Graph Home Transverse Wave Stopwatch Graph Home Transverse Wave The disturbance is perpendicular to the direction of movement Example Light Stopwatch Graph Home Longitudinal Waves Stopwatch Graph Home Longitudinal Waves The disturbance is parallel to the direction of movement Aka: pressure, compression waves Example sound Sketch on board Stopwatch Graph Home Stopwatch Graph Home Wave Behaviour recap Aim To define the properties of waves To identify the types of waves Stopwatch Graph Home Wave Speed 02/05/2017 Aim: To calculate the speed of waves To Revise Reflection Starter: • • Draw a transverse wave in rough and label the wavelength and amplitude The frequency of a wave is 5 Hz what is it’s Period? (check back in your book if you need to) • How fast the wave is travelling • Symbol v • Units m/s Stopwatch Graph Home ENERGY speed VIBRATIONS The speed is how fast the disturbance travels (how fast the energy is transferred) Stopwatch Graph Home speed ENERGY speed Notice that both waves have the same speed bu different wavelengths and frequencies. The wav equation can explain this mathematically. Stopwatch Graph Home Calculating the Speed of Wave Speed = Distance Time An explosion happens 1000m away and takes 3 seconds to reach you what is the speed of sound? Speed = Distance Time Speed = 1000 3 = 333 m/s Stopwatch Graph Home Wave speed, wavelength and frequency are related by the wave equation Stopwatch Graph Home The Wave Equation The wave equation relates the speed of the wave to its frequency and wavelength: Wave speed (v) = frequency (f) x wavelength () in m/s in Hz in m V Worksheet f Stopwatch Graph Home Practice Questions: Write out the variables (ie frequency = …) and the equations used 1. A water wave travels through a pond with a frequency of 5Hz and they are 10 m apart. How fast are they travelling? 2. Ricky hears a thunderclap that makes his ear drum vibrate at 165 Hz. The wavelength of the sound is 2 m how fast is the sound wave travelling? 3. Hannah sings an A, she knows the wavelength of the sound wave is 1.5m. How many times does her vocal chords vibrate per second? (hint: you need the answer to question 2) 4. Hannah plays another note on her guitar, the string vibrates with a frequency of 300 Hz what is the duration (the period) of each vibration of the string? 5. Jon has been running his heart is beating 180 times a minute. What is the frequency and period of his heart beats. 6. Jack throws a stone into the centre of a pond. The pond has a radius of 4m. He notices that it takes 2 seconds for the wave to reach the edge. He thinks the wavelength of the ripple is about 1m. What is the frequency of his ripple? What is the period of the ripple? 7. Purple light has a wavelength of around 6x10-7m. If its frequency is 5x1014 Hz what is the speed of light? 8. Red light travels at the same speed. Work out its frequency if its wavelength is about 4x10-7m. Stopwatch Graph Home Stopwatch Graph Home Stopwatch Graph Home Stopwatch Graph Home Stopwatch Graph Home Reflection Angle of incidence = Angle of reflection Normal Reflected ray Incident ray Angle of incidence Angle of reflection Mirror Movie Worksheet Stopwatch Graph Home Stopwatch Graph Home Ultrasound generator high frequency electrical signal transducer changes the electrical signal into an ultrasonic pulse Contact gel monitor Echoes are changed back into electrical signals. These are processed and imaged on the monitor Stopwatch Graph Home Ultrasound generator (4.5 months) monitor •speed of ultrasound inside the body •time for the ultrasound to travel •and partly reflected ultrasonic waves from boundaries can be processed to produce an image of the foetus Click to start the scan Stopwatch Graph Home Wave Speed recap Aim: To calculate the speed of waves To Revise Reflection Stopwatch Graph Home Refraction 02/05/2017 Aims: To demonstrate refraction To explain the cause of refraction To observe total internal reflection Starter: Why does the magic trick of the Disappearing Coin work? Home Stopwatch Graph Home Refraction at a Boundary Stopwatch Graph Home Refraction Refraction is when waves ____ __ or slow down due to changing _________. A medium is something that waves will travel through. Movie Stopwatch Graph Home Method: Refraction through a glass block: 1) Place a rectangular block of glass or Perspex in the middle of a page on your book and draw around it. 2) Draw a normal line a third along one of the long sides 3) Draw a line at 20° to this normal to mark the incident ray. 4) Use a ray box and single slit to shine a ray of light along the path you have marked for the incident ray. 5) Mark two dots on the path of the refracted ray with a pencil. Join the dots with a ruler to show the path of the refracted ray. 6) Remove the block and draw the path taken by the ray of light inside the block. Stopwatch Graph Home Stopwatch Graph Home This wheel continues to move fast This wheel slows first The cars direction changes This wheel speeds up The car travels slower on the sand than tarmac The cars direction changes Stopwatch Graph Home Stopwatch Graph Home Refraction through a glass block: Wave slows down and bends towards the normal due to entering a more dense medium Wave slows down but is not bent, due to entering along the normal Wave speeds up and bends away from the normal due to entering a less dense medium Movie Worksheet Stopwatch Graph Home What is total internal reflection? Method: 1) Place a semi circular block of glass or Perspex in the middle of a sheet of plain paper and draw around it. 2) Draw a normal line at the middle of the flat side 3) Use a ray box and single slit to shine a ray of light to the normal line 4) Change the angle of the ray of light until total internal reflection if found. 5) Then change the angle until the light is refracted along the horizontal side. 6) Mark two dots on the path of the refracted ray with a pencil. Join the dots with a ruler to show the path of the refracted ray. 6) Measure the critical angle Stopwatch Graph Home Total internal reflection – simulation Stopwatch Graph Home Why is angle of incidence important? If the angle of incidence is smaller than the critical angle, then the light ray is refracted. If the angle of incidence equals the critical angle, then the light ray is refracted along the boundary. If the angle of incidence is greater than the critical angle, then total internal reflection occurs. Stopwatch Graph Home Is the critical angle always the same? The critical angle is the smallest angle of incidence at which total internal reflection occurs. Different materials have a specific value for the critical angle: Material Critical angle water 49° acrylic plastic 42° glass 41° diamond 24° Diamond has the lowest critical angle at 24°. This means that diamond reflects more light than the other materials and accounts for its characteristic sparkle. Stopwatch Graph Home Total Internal Reflection Stopwatch Graph Home How do optical fibres carry light? Optical fibres do not have to be straight to carry light and can even carry light around corners. This curved Perspex rod shows how light travels in an optical fibre. Light travels through the Perspex rod, and optical fibres, by a process called total internal reflection. Stopwatch Graph Home Total Internal Reflection recap Aims: To describe the effect of the critical angle To know some uses of the critical angle Home Stopwatch Graph Home Refraction in Water 02/05/2017 Aim Experimentally determine the effect of water depth on speed and establish if there is a relationship between the two Stopwatch Graph Home Experiment: Wave Speed You are expected to: Write a method Draw a graph of results Write a analysis / conclusion Write an evaluation Overview: Work out what you are going to do before you start You need at least 6 different depths for a graph The effect is only noticed on small depths (mm not cm) You need to make sure that the effect is not drowned out by your reaction time You need to make sure that one mistake does not ruin your results Stopwatch Graph Home Refractive Index 02/05/2017 Aim Experimentally determine the refractive index of glass describe an experiment to determine the refractive index of glass Stopwatch Graph Home Finding the Refractive Index of Glass Method: Draw around the semi circular block. Draw a normal line in the middle of the straight edge of the block. Draw Incident lines every 10° from 0° to 70° Use a ray box to send incident rays into the semi circular box and mark out the refracted rays. Measure the refracted angles Results: Create a table of the incident, refracted angles, sin i, and sin r. Plot a graph of sin i (x) against sin r (y) Stopwatch Graph Home Work To Do: Results: Create a table of the incident, refracted angles, sin i, and sin r. Plot a graph of sin i (x) against sin r (y) Analysis What shape is your graph? Add an extra column to your table with the heading refractive index (n) n = sin(i) ÷ sin (r) Calculate the gradient of your graph The critical angle of glass (c) = 41° Calculate sin(c) Stopwatch Graph Home Equations to Learn: A measure of how much light is refracted (bends) in a material. glass n = 1.6 Diamond n = 2.5 Refractive index (n): n = sin i sin r Critical Angle (c): sin c = 1 n incident angle refracted angle Critical angle Stopwatch Graph Home Refractive Index recap Aim Experimentally determine the refractive index of glass describe an experiment to determine the refractive index of glass Stopwatch Graph Home Diffraction Separate Science 02/05/2017 Aims: To define diffraction To see reflection and refraction in water waves Starter: Worksheet Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Water waves are reflected by the barrier Barrier Stopwatch Graph Home Separate Science Stopwatch Graph Home Ripple tank model Separate Science The waves slow down when they reach the shallow water Deep water The wavelength gets shorter But the frequency stays the same Shallow water Can you understand what is happening here? HINT remember the wave equation Stopwatch Graph Home Water waves Deep water Separate Science If the waves reach the shallow water at an angle the waves still slow down. The waves also change direction. We call this effect refraction. Shallow water Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science • Diffraction is the spreading out of waves at edges and gaps. • All types of waves can be diffracted. • The amount of diffraction is affected by the size of the gap and the wavelength. Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Small amount of spreading (diffraction) The wavelength of the waves is much smaller than the size of the gap Stopwatch Graph Home Separate Science The wavelength is the same size as the gap so there is very good spreading (diffraction) Stopwatch Graph Home Separate Science For Edges Long wavelengths diffract more than short wavelengths. For Gaps The wavelength should be the same size as the gap to get good diffraction. Stopwatch Graph Home Separate Science Speed of sound in air = 330m/s Typical frequency = 440Hertz Work out the wavelength of these sound waves Speed = wavelength x frequency Wavelength = speed/frequency Wavelength = 330/440 = 0.75metres About the same size as the width of a door Stopwatch Graph Home Stopwatch Graph Home Separate Science To get spreading (diffraction) of the light the gap it passes through has to be very small-because the wavelength of light is very small Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science The aerial is on a pole to try and improve the reception of radio waves. Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science There is very little diffraction of short wavelength radio waves when they pass between two hills Stopwatch Graph Home Separate Science Long wavelength radio waves are more likely to be diffracted when they pass between hills and are more likely to be detected by the aerial. Stopwatch Graph Home Separate Science Stopwatch Graph Home Separate Science Copy and complete this email: To [email protected] You are having difficulty with the signal strength on your short wave radio because… Helpful words/phrases to use: long wavelength short wavelength, diffracted, gap, edge. Copy and complete the diagrams to illustrate your answer. Stopwatch Graph Home B Separate Science A C D Which of these show how rays are (a) reflected? (b) diffracted at a gap? (c) refracted? (d) diffracted at an edge? Stopwatch Graph Home Separate Science Which of these show how waves are (a) reflected? (b) diffracted at a gap? (c) refracted? (d) diffracted at an edge? Stopwatch Graph Home Diffraction recap Aims: To define diffraction Worksheet Home Stopwatch Graph Home Separate Science Transmitting Information 02/05/2017 Aim To explain the difference between analogue and digital signals Stopwatch Graph Home Separate Science What is an analogue signal? Most of the signals sensed by humans are analogue signals. Everyday examples include sound, light and temperature. voltage An analogue signal may have any value within a continuous range. time Stopwatch Graph Home What is a digital signal? Separate Science Modern communication systems carry information from analogue signals as digital signals. current A digital signal only contains two values: ‘0’ (off) and ‘1’ (on). These are used to encode analogue information. time Stopwatch Graph Home Separate Science Converting analogue to digital Stopwatch Graph Home Separate Science Why do analogue signals lose quality? All types of signals lose strength as they travel. This is called attenuation and means that signals often have to be amplified so they can be used. Signals can also pick up noise (interference). original attenuated amplified Stopwatch Graph Home Separate Science Why don’t digital signals lose quality? Digital signals also lose strength and need to be amplified. original attenuated amplified threshold regenerated Stopwatch Graph Home Digital vs Analogue Analogue signals are continually changing. Digital signals are either zero or one This means if the signal gets distorted you can work out the digital signal (it should either be zero or one) but you will not be able to tell the original analogue signal Stopwatch Graph Home Analogue or digital? Separate Science Stopwatch Graph Home Separate Science Communications – matching activity Stopwatch Graph Home Separate Science Opinions on analogue and digital Stopwatch Graph Home Separate Science What’s in a cable of optical fibres? Stopwatch Graph Home Separate Science How do messages travel along optical fibres? Stopwatch Graph Home Sending messages Separate Science Stopwatch Graph Home Separate Science Optical fibres – true or false? Stopwatch Graph Home Transmitting Information recap Aim To explain the difference between analogue and digital signals Stopwatch Graph Home Sound 02/05/2017 Aim Measure the Speed of Sound Know the human hearing range Stopwatch Graph Home •Which animals hear the lowest and the highest frequencies? •Which animal has the largest hearing range? 100,000 10,000 1,000 frequency 100 (Hz) 10 1 0 human dog bat elephant mouse dolphin Stopwatch Graph Home Sound The human hearing range is from 20 – 20 000 Hz Its best range is at age 8 the pitch of a sound depends on the frequency of vibration of the source the loudness of a sound depends on the amplitude of vibration A B Which sound is: •The quietest •The loudest •The highest •The lowest C D Stopwatch Graph Home Speed of sound experiment This investigation to calculate the speed of sound should be carried out in a quiet open space. START STOP 00:0034 00 100 m 1. When you see the cymbals crash, press START. 2. When you hear the cymbals crash, press STOP. Stopwatch Graph Home Speed of sound experiment – results table Look at the results of the sound experiment. Experiment distance (m) time (s) speed (m/s) 1 100 0.34 294 How are these values used to estimate the speed of sound? distance 100 = speed = time 0.34 = 294 m/s Stopwatch Graph Home Speed of Sound Experiment Write a method for our speed of sound experiment Write out the results Calculate the speed of sound Are our results accurate? Why might they not be? Stopwatch Graph Home Movie CB Stopwatch Graph Home