Preliminary Physics The World Communicates Lesson 1: The Wave Model Name: _____________________ 0466 342 939 [email protected] www.synergyhsc.com LESSON 1: The World Communicates Preliminary Physics Summary of Key Words Account Account for: state reasons for, report on. Give an account of: narrate a series of events or transactions Analyse Identify components and the relationship between them; draw out and relate implications Apply Use, utilise, employ in a particular situation Assess Make a judgement of value, quality, outcomes, results or size Calculate Ascertain/determine from given facts, figures or information Clarify Make clear or plain Classify Arrange or include in classes/categories Compare Show how things are similar or different Construct Make; build; put together items or arguments Contrast Show how things are different or opposite Deduce Draw conclusions Define State meaning and identify essential qualities Demonstrate Show by example Describe Provide characteristics and features Discuss Identify issues and provide points for and/or against Distinguish Recognise or note/indicate as being distinct or different from; to note differences between Copyright © HSC Synergy Education 2016 2 LESSON 1: The World Communicates Preliminary Physics Evaluate Make a judgement based on criteria; determine the value of Examine Inquire into Explain Relate cause and effect; make the relationships between things evident; provide why and/or how Extract Choose relevant and/or appropriate details Extrapolate Infer from what is known Identify Recognise and name Interpret Draw meaning from Investigate Plan, inquire into and draw conclusions about Justify Support an argument or conclusion Outline Sketch in general terms; indicate the main features of Predict Suggest what may happen based on available information Propose Put forward (for example a point of view, idea, argument, suggestion) for consideration or action Recall Present remembered ideas, facts or experiences Recommend Provide reasons in favour Copyright © HSC Synergy Education 2016 3 LESSON 1: The World Communicates Preliminary Physics Lesson Dotpoints By the end of the lesson, you should understand the following concepts: The Wave Model Identify that mechanical waves require a medium for propagation while electromagnetic waves do not Define and apply the following terms to the wave model: medium, displacement, amplitude, period, crest, trough, transverse waves, frequency, wavelength, velocity Velocity of Waves Quantify the relationship between velocity, frequency and wavelength for a wave: 𝑣 = 𝑓𝜆 Solve problems and analyse information by applying the mathematical model of 𝑣 = 𝑓𝜆 to a range of situations Different Energy Disturbances Describe waves as a transfer of energy disturbance that may occur in one, two or three dimensions, depending on the nature of the wave and the medium Copyright © HSC Synergy Education 2016 4 LESSON 1: The World Communicates Preliminary Physics The Physics Syllabus During the preliminary course it is expected that students will develop skills in: - Planning and conducting investigations - Communicating information and understanding - Scientific thinking and problem-solving The syllabus states that: Key competencies are embedded in the Physics Stage 6 Syllabus - This simply means that the syllabus is literally YOUR BEST FRIEND for both preliminary and HSC physics - All of your theory and practical exams at school are based on the Syllabus dotpoints Both the preliminary and HSC course have four topics in which you have to master: Preliminary Course HSC Course The World Communicates Space Electrical Energy in the Home Motors and Generators Moving About From Ideas to Implementation The Cosmic Engine Options: - Copyright © HSC Synergy Education 2016 5 Geophysics Medical physics From quanta to quarks The age of silicon Astrophysics LESSON 1: The World Communicates Preliminary Physics Doing Well in HSC Physics Physics is a pre-requisite for many university courses including: - Medicine Engineering (some courses) Science Mathematics These courses usually require ATARs above 95 meaning you need to know how to maximise your marks Study Techniques There are a few study techniques that will indefinitely help you with maximising your chemistry mark: 1. Study based on the syllabus and make sure you know it BACK TO FRONT 2. Always improve on your question answering skills. This means not only practicing constantly but also being smart about it - Compare your answer with a sample answer and analyse until your technique is perfect - Constantly practise using past paper exam questions as it helps you consolidate your understanding - There are only so many types of questions they can ever ask you meaning if you do enough past exams then you realise that the same questions come up over and over again 3. Memorise KEY VERBS that are used to ask questions. The main ones include: - Assess Compare Describe Discuss Explain Justify 4. Memorise and understand key equations for physics as these can be used in your explanations Copyright © HSC Synergy Education 2016 6 LESSON 1: The World Communicates Preliminary Physics Exam Techniques Not only is studying technique very important, your exam technique is crucial to doing well in physics 1. Remember to always make sure you understand what the question is asking you - After lots of practise it might seem the question is easy but many times the question is a little more trickier then what you originally perceived - Therefore, read the question AT LEAST TWICE 2. Read the verb they use to ask the question. For any question worth more than 2 marks ALWAYS formulate a structure to answer the question. 3. When you encounter questions that are 5 marks or more ALWAYS spend a few minutes and think about how you can answer the questions 4. Answer in dotpoints unless the question says otherwise 5. Draw accurate labelled diagrams and always use physics equations wherever you can Copyright © HSC Synergy Education 2016 7 LESSON 1: The World Communicates Preliminary Physics First Principles Approach to Learning To understand the physics course you want to learn from a first principles approach The first principles learning approach is a mode of inquiry that relentlessly pursues the foundations of a problem A first principles approach forms the basis of philosophy, mathematics and physics How can you think by first principles when solving problems? Step 1 When looking at a problem always boil it down to the MOST BASIC truths - A basic truth is something that cannot be deduced from any other proposition or assumption - For example, a basic or foundational statement could be “All men are mortal” Step 2 Then reason upwards from these basic truths - For example, by saying “All men are mortal” we can also say that “Since Einstein is a man, Einstein is mortal” Step 3 Once you have reasoned upwards you need to have a feedback loop - This means you want to check or test your reasoning and then adjust your reasoning - For example by saying that “Since Einstein is a man, Einstein is mortal” - To check your statement, you can confirm Einstein’s death on the 18th of April 1955 - In this case a feedback loop is not necessary as you have confirmed your reasoning Copyright © HSC Synergy Education 2016 8 LESSON 1: The World Communicates Preliminary Physics Feedback Reason Upwards Foundational Proposition First Principles and Physics In physics, a calculation is said to be from first principles if it starts directly at the level of established laws of physics and does NOT make assumptions such as: - Empirical models - Fitting parameters For example, in year 12 physics (and extension 1 math) you will encounter projectile motion questions - Using a first principles approach is the easiest way to understand these types of questions and almost guarantees you will get the answer correct Analogies Approach to Learning The analogies approach is the most common type of learning It is an easier approach then the first principles approach as it does not require much understanding An analogies approach typically involves mapping between similar features of concepts, principles and formulas - To simply state this, an analogy is a process of identifying similarities between two concepts Copyright © HSC Synergy Education 2016 9 LESSON 1: The World Communicates - Preliminary Physics One concept, which is familiar, is referred to as the analog, and other concept, which is unfamiliar, is called the target A useful representation of how an analogy works is shown below: Higher – order concept or principle Analog Target Compared with Feature Feature 1 2 3 “ “ “ “ “ “ Cannot be compared with 4 1 2 3 4 It is better to learn from a first principles approach rather than an analogies approach The first principles approach is particularly useful when you want to solve problems. This skill is not practised by many but for those who are the ones people label as ‘geniuses’. Think of: - Einstein Steve Jobs Elon Musk Isaac Newton Copyright © HSC Synergy Education 2016 10 LESSON 1: The World Communicates Preliminary Physics 1. The Wave Model CHECKPOINT: Identify that mechanical waves require a medium for propagation while electromagnetic waves do not Define and apply the following terms to the wave model: medium, displacement, amplitude, period, crest, trough, transverse waves, frequency, wavelength, velocity What are Waves? Waves are everywhere and we encounter them on a daily basis Examples of waves include: - Sound waves Visible light Radio waves Sine and cosine waves Earthquakes For most people, the concept of waves is from water moving in an ocean, lake or pond Waves in a pond are usually created by a disturbance such as a rock being thrown into the water The water then has a ___________ and a ____________ as it travels from one location to another Copyright © HSC Synergy Education 2016 11 LESSON 1: The World Communicates Preliminary Physics The study of waves has been increasingly crucial to modern society as we use waves to carry information Energy Transformation Waves are essentially a transfer of energy The source of energy from a wave is essentially from a ________________ The wave transfers this energy from the vibration from one point to another The transfer of energy is ALWAYS ___________ from the source of vibration The term propagation is used to describe the movement of waves - Define propagation. There are types of waves studied in year 11. They are called: - Mechanical AND Explain what mechanical waves are. - No mechanical Provide two examples of mechanical waves. Explain what non-mechanical waves are. Copyright © HSC Synergy Education 2016 12 LESSON 1: The World Communicates Preliminary Physics Mechanical waves can be further classified into two categories: - Transverse AND There is only ONE TYPE Of non-mechanical wave and they are called ____________________________ - Longitudinal Why are these types of waves non-mechanical? Electromagnetic radiation can propagate through the vacuum of space - Can mechanical waves propagate through space? Explain. - Can non-mechanical waves propagate through medium? Explain. Copyright © HSC Synergy Education 2016 13 LESSON 1: The World Communicates Preliminary Physics Transverse Waves Transverse waves are waves in which the particles vibrate at right angles to the direction of wave’s velocity or propagation An example of this type of wave is the pulse travelling along a slinky as it is being shaken Using the slinky as an example we can describe what a transverse wave looks like All transverse waves ripple in the shape of a ________________ We can name and measure a number of waves features For each of the following definitions describe what part of the transverse wave they belongs to: - Crests - Troughs - Equilibrium or mean Copyright © HSC Synergy Education 2016 14 LESSON 1: The World Communicates - Wavefront - Amplitude Define the wavelength of a transverse wave. Preliminary Physics Wavelength can be denoted by the symbol 𝜆 also known as ______________ Label the wave below for its crest, trough, amplitude, wavelength and equilibrium. Copyright © HSC Synergy Education 2016 15 LESSON 1: The World Communicates Copyright © HSC Synergy Education 2016 Preliminary Physics 16 LESSON 1: The World Communicates Preliminary Physics 2. Velocity of Waves CHECKPOINT: Quantify the relationship between velocity, frequency and wavelength for a wave: 𝑣 = 𝑓𝜆 Solve problems and analyse information by applying the mathematical model of 𝑣 = 𝑓𝜆 to a range of situations Frequency of a Wave Since every mechanical wave has a vibrating source, the rate at which the source vibrates directly affects the nature of the wave formed The frequency of a wave is the source is number of _________________ or ___________ that are completed per second at a fixed point The following formula can be used to define frequency: For example, if it takes a wave ½ second to pass through a point, the frequency is found to be ________________ If it takes 1/100 of an hour, the frequency is 100 per hour. Label whether the following are high or low frequency: Copyright © HSC Synergy Education 2016 17 LESSON 1: The World Communicates Preliminary Physics Period of a Wave The period of a wave is linked to its ________________ The period is the time interval for one vibration or cycle - The period is measured in ______________ Consider a particle at the mean or equilibrium position initially. The particle starts rising till it reaches a peak called crest, then starts falling till it reaches the lowest point crossing the mean position. The lowest point is called __________________ Again it starts rising and reaches the mean position. In other words the particle has completed one cycle of wave motion. This cycle repeats in a uniform pattern along with time. Therefore, the period can be defined as: Rearrange the formula for frequency to find the formula for period. Copyright © HSC Synergy Education 2016 18 LESSON 1: The World Communicates Preliminary Physics Velocity of a Wave The velocity of a wave deals with how fast the wave transfers energy AWAY from a source The velocity can be calculated if the wavelength and frequency are known The formula for the velocity of a wave is shown below: 𝒗 = 𝒇𝝀 Example The wave in the sea has a wavelength of 15m. The frequency those waves passing through a fixed point is measured to be 2Hz. Calculate the velocity of wave. Copyright © HSC Synergy Education 2016 19 LESSON 1: The World Communicates Preliminary Physics Applications 2.1 Question 1 a) A tuning fork has a frequency of 280 hertz and the wavelength of the sound produced is 1.5m. Calculate the velocity of the wave. b) A wave is moving toward shore with a velocity of 5.0m/s. If its frequency is 2.5 hertz, what is the wavelength? c) The speed of light is 3.0 × 108 𝑚/𝑠. Red light has a wavelength of 7 × 10−7 𝑚. What is its frequency? d) The frequency of violet light is 7.5 × 1014 Hz. What is its wavelength? Copyright © HSC Synergy Education 2016 20 LESSON 1: The World Communicates e) Preliminary Physics A jump rope is shaken producing a wave with a wavelength of 0.5m with the crest of the wave passing a certain point 4 times per second. What is the velocity of the wave? Question 2 The illustration below shows a series of transverse waves. Label each part in the space provided. a b c f e d g Question 3 Compare mechanical waves to non-mechanical waves. (2 marks) Copyright © HSC Synergy Education 2016 21 LESSON 1: The World Communicates Preliminary Physics Question 4 Below are a number of series of waves. Underneath each diagram write the numbers of waves in the series. B A D C a) Which of the above has the biggest amplitude? b) Which of the above has the shortest wavelength? c) Which of the above has the longest wavelength? Copyright © HSC Synergy Education 2016 22 LESSON 1: The World Communicates Preliminary Physics Question 5 a) Whales in the ocean omit sound waves to one another that can travel enormously long distances. If two whales are 1500.0 km apart and omit sounds have a frequency of 19 kHz and a wavelength of 0.0805 metres. How much time will it take the sounds to travel from one whale to another whale? (3 marks) b) A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the range of wavelengths attained by this instrument. Assume speed of sound to be 340 m/s. Question 6 a) What is the wavelength of a radio wave that has a frequency of 96.5 Mhz? (2 marks) b) What is the period of the radio wave? Copyright © HSC Synergy Education 2016 23 LESSON 1: The World Communicates Preliminary Physics 3. Different Energy Disturbances CHECKPOINT: Describe waves as a transfer of energy disturbance that may occur in one, two or three dimensions, depending on the nature of the wave and the medium Waves in Different Dimensions Depending on the type of wave and the medium in which they are travelling, waves may travel in one, two or three dimensions One Dimension One dimensional waves travel only in one direction They are occur as transverse or longitudinal waves Provide an example of a one dimensional wave. Two Dimension Two dimensional waves travel in two directions An example of two dimensional waves is when a pebble is thrown into a still pond Label the point source of the wave and the wavefronts. Copyright © HSC Synergy Education 2016 24 LESSON 1: The World Communicates Preliminary Physics Three Dimension Three dimensional waves travel in all directions One example of 3D waves is sound travelling from an ambulance - What type of waves are sound waves? Explain your answer. Identify three dimensional waves from space. Draw a diagram to show three dimensional wave motion. Identify the type of wave energy being released by stars. - What type of waves are EMR waves? Explain your answer. Copyright © HSC Synergy Education 2016 25 LESSON 1: The World Communicates Preliminary Physics Applications 3.1 Question 1 Provide an example for each of the following: a) One dimensional wave b) Two dimensional wave c) Three dimensional wave Question 2 Compare the propagation of waves between one, two and three dimensions. (2 marks) Question 3 Illustrate two and three dimensional wave propagation. (2 marks) Copyright © HSC Synergy Education 2016 26
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