Practice Problems For Solving Sound Waves

Wave Worksheet. Using multiple choice questions and answers, users are asked to identify arrhythmia tracings. Answers are below. Home; Search; Contact us; Using this Site © 1995-2019 Government of Alberta; Copyright and Disclaimer. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. Start improving your mental health and wellness today. A wire of length 4. When sound travels in a solid material, one form of wave energy can be transformed into another form. Authoritative 700-150 Practice Tests, Ensure to pass the 700-150 Exam, Cisco 700-150 Practice Tests The last one is APP online version, Cisco 700-150 Practice Tests Actually, you may feel said when you fail to solve text items, on the contrary, you will have a sense of achievement when you settle down a tough problem, Cisco 700-150 Practice Tests Please contact us if you have any questions. Practice questions in the fundamentals of physics while you review topics from classical dynamics to modern quantum mechanics with Albert's AP® Physics 1 exam prep. Sound waves cannot travel in a vacuum like light waves; they must have a medium to travel through. The metal parts of the slinky don't move from one end to the other. Understand how sound waves come from vibrations and how your ears give you the ability to hear them. You MUST show ALL the work outlined in the steps in the example problems. During this Webquest you will be introduced to nine different strategies for solving math problems. A sound wave emanates from a source vibrating at a frequency f, propagates at V w, and has a wavelength λ. Art of Problem Solving is an ACS WASC Accredited School. Through NSTA, you'll find leading resources for excellence in teaching and learning and experience growth through robust professional development. Because this is what is customer service for. You take a sound, expand its fourier series. You can also control the 3D movements of the dice with your mouse! You get three math games in one!. This publication provides a comprehensive. In a _____ wave, the medium moves back and forth as the wave moves horizontally. A wave with a frequency of 14 Hz has a wavelength of 3 meters. If the wavelength of the wave is 0. A wave has a frequency of 46 Hz and a wavelength of 1. Online interactive learning and reading activities for interactive whiteboards, computer labs, and students PreK–8. Identify the physical principles involved by listing the givens and the quantities to be calculated. I hope to convert you to a way of thinking about waves that will permanently change the way you look at the world. pdf), Text File (. Interactive solvers for algebra word problems. To fix your sound stuttering problem, please perform: 1) On your keyboard, press the Windows logo key and R at the same time. Our National Curriculum based workshops are a great way to improve the image of maths in your school. Standing Waves on a Guitar String. Challenges to Evidence-Based Practice. Refraction of sound waves influenced the outcome of several Civil War Battles! Acoustician Charles D. The string has length ℓ. Problem-Solving Basics for One-Dimensional Kinematics; Speed of Sound, Frequency, and Wavelength essentially sound waves in Earth's crust, are an. ) Is there work in progress to address this, or do you have another suggestion for the time being? Thanks!. 16: Superposition and Standing Waves "We are what we believe we are. In that case, think more broadly about what makes a useful example. myON reader tracks book usage and reading growth over time and can project a student’s future reading score based on their current reading activities within the system. Students will interpret diagrams of transverse and longitudinal waves, answer multiple-choice questions, and write about waves. Learn various methods to mitigate vibration, sound, or noise problems. That sound wave doesn't exist at all before the bullet gets to the target, right? Assume the person & the gun are at exactly the same location. com/music/ Her current crossover experiments are based on binary, pi and geometric frieze patterns. Solving Word Problems in Algebra Inequality Word Problems. You're not dealing with a sound wave that makes a "round trip". Physics 11 Waves and Sound Rewrite Practice Problems Multiple Choice 1. AP exam scores of 3 or higher (on a 5-point scale) qualify students for credit at many colleges and universities and are key indicators of college preparedness and success. (f = 800 hz) if the speed of sound is 340. Knowledge application - use your knowledge to answer questions about electromagnetic waves and the relationship between frequency and wavelength Problem solving - use acquired knowledge to. The ultrasound is inaudible, but the beginning of each pulse produces in an audible click. Solving Acoustic Problems in Rehearsal and Practice Spaces By Ron Freiheit, Wenger Corporation In the ideal world, every music educator could design his or her own rehearsal and practice facilities, working with world-class acoustical experts and unlimited financial resources. What is its velocity? V = 5 x 10 V= 50 meters per second Solve using the wave velocity equation: (Show your equation set up and math work) 1- A wave has a Wavelength of 12 meters and a Frequency of 10 Hz. Our approach at Skills You Need is to set out a framework to help guide you through the decision-making process. It should be noted at this point that there is another decibel scale in use, called the sound pressure level , based on the ratio of the pressure amplitude to a reference pressure. Problem Solving - identify equivalent fractions. Problem solving may include mathematical or systematic. Even though that feature isn’t full self-driving, it’s one of the closest consumer experiences available right now. Find quizzes on any topic and practice or compete with friends. 8 meters, what is the. The relationship between decision-making and problem-solving is complex. Plus sports, money, and weather math. Formulating a scientific question or hypothesis. Standards for Mathematical Practice » Use appropriate tools strategically. Guidelines to Problem Solving and Decision Making (Rational Approach) Much of what people do is solve problems and make decisions. One example is sound: whenever you play an instrument, or listen to your stereo, you're listening to sound waves. Looking for educational fun activities for students / kids to help them learn math? Splash Math offers cool interactive problem solving math games for Kindergarteners online aligned with Common Core Standards. And with the EV company’s new Smart Summon feature, which launched in beta in September, they’re now trying to solve the problem of the parking lot. Knowledge application - use your knowledge to answer questions about electromagnetic waves and the relationship between frequency and wavelength Problem solving - use acquired knowledge to. An analogue sound wave is picked up by a microphone and sent to an Analogue to Digital (ADC) converter in the form of analogue electrical signals. Systems of Inequalities Practice Problems. These larger problems are often tackled by turning them into formal projects. When we compare the speed of wave 1 to the speed of wave 2 the result is: (A) Twice as great (B) One-half as great (C) The same. Two sound sources S1 and S2 produce waves. Identify the Problem. To practice Problem-Solving Strategy 16. Ultimately, your sister in law has to learn to problem solve herself. The rate "miles per hour" gives distance traveled per unit of time. Practice questions in the fundamentals of physics while you review topics from classical dynamics to modern quantum mechanics with Albert's AP® Physics 1 exam prep. The Math Forum has a rich history as an online hub for the mathematics education community. Interpretation of spectra is a technique that requires practice - this site provides 1 H NMR and 13 C NMR, DEPT, COSY and IR spectra of various compounds for students to interpret. [Grade: 6-8 | Topics: metric measurement; scaling; Scientific Notation. Thus, the effective shift is ∆=t 0. The organization of the book is designed to illustrate how wave phenomena arise in any. Problem Solving Skills Rubric Student _____ Course _____ Date _____ Intended Outcome: the student will use inquiry, quantitative, & analytical reasoning to solve problems. 1 Mechanical Waves. What's a MATH MINUTE sheet? It's a sheet of paper with 50 math questions. 4 Usually, an acoustics application solves the wave equation with f describing an initial impulse. Waves: Speed & Frequency Word Problems 1. We cannot be held responsible for any misrepresentation, incorrect information provided or hyperlinks listed herein. Problem solving involves methods and skills to find the best solutions to problems. Wave Speed, Frequency, & Wavelength Practice Problems Use the above formulas and information to help you solve the following problems. A very helpful film for teachers who want to demonstrate the properties of sound waves but are not yet that confident when using a signal generator. The metal parts of the slinky don't move from one end to the other. 0 dB sound is twice as intense as a 53. Product troubleshooting support, DIY advice, and help from experts & local pros. Here are some popular behavioral questions related to the competency of problem solving: • Tell me about a situation where you had to solve a difficult problem. Using mathematics to solve science problems. (a) What is. Our Team Our History Jobs. Practice B Graphs of Sine and Cosine Solve. (4 attempts) Lesson 1 - Intro to Waves Lesson 2 - Speed of Sound Lesson 2 - Worksheet Lesson 2 - Worksheet - answers Lesson 3 - The Doppler Effect Lesson 4 - Interference and Standing Waves Lesson 5 - Resonance and…. The frequency of the George Washington Bridge is 2. Sorry, this link is not valid to access the content. You MUST show ALL the work outlined in the steps in the example problems. edu Department of Mathematics University of California, Santa Barbara These lecture notes arose from the course \Partial Di erential Equations" { Math 124A taught by the author in the Department of Mathematics at UCSB in the fall quarters of 2009 and 2010. Anytime a player needs help, they may email our staff for assistance. Figure A illustrates the difference between longitudinal and transverse waves. Math for Kids: A Medieval Adventure in Problem-solving - ThinkQuest Junior A site designed by two fourth-graders for sharpening math problem-solving skills: students can practice and learn to solve 30 word problems step-by-step (multiple-choice answers with answer pages are provided), or share word problems they've written. Assume that the lines are the crests of the waves and the dotted lines between the lines are the. Where We Are. aops programs. FOR SCHOOLS FOR HOME There was a direct correlation to the growth of those schools that used [Study Island] with fidelity and used it often. Other problems are large and may require significant time and effort to solve. “It’s the notion of focusing on the problem in the moment. An amazing collection of KS3 sound resources at your fingertips! Encourage your students to ask the question, what is a sound wave? Provide them with the answers using these fantastic KS3 resources. Conventional stethoscopes typically cost under $200, compared with at least a few thousand dollars for some of the high-tech devices. Sound Waves is an explicit teaching program and is fully resourced with Teacher Books, Student Books, Sound Waves Online and additional digital options for non-textbook schools. ) around it to vibrate. Problem solving is an ongoing process that is an integral part of work and life. At Timestables. To use the SCAMPER technique, first state the problem you’d like to solve or the idea you’d like to develop. Students automatically work on the Math, ELA, Social Studies and Science lessons that are perfect for them. All tests come with an instant feedback and an overall score that you can see on the computer screen. Problem-solving therapy has been the subject of recent scientific research, showing it can be helpful not only with psychological problems, but with physical illness as well. Sound Off! Monumental Changes :. Question 6 Science Practice Test for the TASC The image shows a source of waves (the red dot) moving to the left and depicts the waves coming from the object. The person doesn't know when the bullet strikes the target. Problems for Algebra-Based College Physics I & II. Problem Solving Many of the problems involving waves on a string deal with the relationships v = λ f = λ / T, where v is the wave speed, λ is the wavelength, f is the frequency, and T is the period. One paraequals 311 040 000 000 000 years. Several merchant ships reports rogue waves which are estimated to be 25 meters high and 26 meters long. These Problem Solving Help Videos provide step-by-step solutions to sample problems. The proliferation of electrical and electronic devices that are potential victims of power-line noise, coupled with today's increased dependence on mobile and wireless communications, have each contributed to this increase. The wavelength of a wave is the distance from one point on a wave to the next identical point on the same wave, for example, from crest to crest, trough to trough, or condensation to condensation. Problem-solving therapy (PST) is a form of psychotherapy. 2, Figure 14. Instead of a still image produced by x-rays, ultrasound allows us to view organs as they are working, which makes it easier to detect any issues with an organ’s functionality. Problems are indexed according to topic and difficulty level, and also are mapped to the Common Core State Standards. Absurd Math is an interactive mathematical problem solving game series. Practice-It is an online practice problem tool to help students in college and high school intro programming courses learn and practice basic CS1 and CS2 programming concepts. It will be your job to review the sample problems given, find another problem that uses the same strategy and then enter the new problem to the class book. If the speed of the sound waves in air is 350 m/s, then what is the frequency of sound heard by the driver of car B from car A. The students are encouraged to solve problems by using data. What is the speed of this wave. These vibrations create sound waves which move through mediums such as air and water before reaching our ears. What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling straight toward the ship at 5. Radio station WKLB in Boston broadcasts at a frequency of 99. 0 The energy of the first spring is. Overview of Sound Waves. If a sound wave travels at a frequency of 55 Hz, what would its wavelength be? 4. To fix your sound stuttering problem, please perform: 1) On your keyboard, press the Windows logo key and R at the same time. Answers are below. Sound waves consist of areas of high and low pressure called compressions and rarefactions, respectively. Solving this quadratic equation we obtain. The original problem and choices from the 2011 AMC 8 contest Problem number Hint Solution from official solutions Difficulty, Percent correct Easy 100-80% Med Easy 80-60% Medium 60-40% Med Hard 40-20% Hard 20-0% Standards for Math Practice Common Core State Standard Guide to Student Practice Questions AMC 10/12 Student Practice Questions. We cannot be held responsible for any misrepresentation, incorrect information provided or hyperlinks listed herein. Sound Waves: Quiz & Worksheet for Kids Quiz; "As a math/science tutor I find these lessons extremely helpful. Podcast Episode #126: We chat GitHub Actions, fake boyfriends apps, and the dangers of legacy code. It builds on the six-step decision making model. Question 6 Science Practice Test for the TASC The image shows a source of waves (the red dot) moving to the left and depicts the waves coming from the object. What is the wavelength of a sound wave with a frequency of 430 Hz? 2. The graph at right is the measured acoustic impedance of a simple cylindrical tube of length 597 mm -- between the length of a flute and a clarinet -- and an internal diameter of 15 mm, which is comparable with that of both. Grand Slam Math a great game to practice identifying the missing factor in a number sentence. Grade 1–6 resources for teachers, students, and families to support instruction in the classroom and at home. They use multiple equations, requiring rearranging and selecting the right equation to use when solving for a specific variable. In that case, think more broadly about what makes a useful example. From Pre-Algebra to College Algebra, Algebrator reduces your homework time while teaching you the concepts critical for success in Mathematics. The loss of production is oftentimes the most critical concern. In general, physics seems to have this aura to it that scares people before they even start solving a problem. This sections illustrates the process of solving trigonometric equations of various forms. Algebra Differential Equations and Fourier Analysis Differential and Computational Geometry Probability and Statistics Numerical Analysis Operations Research and. The energy of a wave depends on its _____. Its left and right hand ends are held fixed at height zero and we are told its initial configuration and speed. Even though that feature isn’t full self-driving, it’s one of the closest consumer experiences available right now. period of the wave d. Worksheets > Math > Grade 4. Two loudspeakers are placed side by side a distance d = 4. Topics include mechanical vibrations and waves, electromagnetic waves, and optics. Refraction of light is the most commonly observed phenomenon, but other waves such as sound waves and water waves also experience refraction. Formulating a scientific question or hypothesis. Sound … Continue Reading ». You MUST show ALL the work outlined in the steps in the example problems. Sound Wave Equations Calculator. doc 12d-Magnetism FR practice problems-ANSWERS. REDISH Department of Physics, University of Maryland College Park, MD, 20742-4111 USA Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Problem-Solving Strategy: Applying Newton’s Laws of Motion. To start practising, just click on any link. What is the speed of light in a medium having an absolute index of refraction of 2. Road to Calculus. We can actually see these electrical changes in the form of brain waves as shown in an EEG (electroencephalogram). For group problem-solving and decision-making, or when a consensus is required, workshops help, within which you can incorporate these tools and process as appropriate. Log in to your Firefly Account. Our Team Our History Jobs. Conventional stethoscopes typically cost under $200, compared with at least a few thousand dollars for some of the high-tech devices. Solutions When No Image Appears;. To use the SCAMPER technique, first state the problem you’d like to solve or the idea you’d like to develop. The goal of this class is to give students practice using the wave equation. Problem Solving | Teaching Ideas Join our email newsletter to receive free updates!. Problems can be difficult to solve when we only know the issue and none of the steps to fix it. Vi Hart's Math / Music stuff: http://vihart. ION is a worldwide company that continues to design innovative products to simplify your life and energize your entertainment. A sound wave produced by a clock chime is heard 515 m away 1. This coloring math worksheet gives your child practice finding 1 more and 1 less than numbers up to 20. 6 m/sec? To work this problem you would use the Doppler equations for a moving source. Your students work at their levels. In reality, however, music educators must "make do" with. Pulse vs standing wave demo with calculations of wave velocity and wavelength using transverse and longitudinal waves. Most novice and experienced conflict mediators alike feel themselves viscerally tighten in the face of an impending impasse. Physics 2A. 1 for wave interference problems. Offer to keep her accountable if she is willing. 2 X 108-hz? Example 3: LEI When an electromagnetic wave travels from one medium to another its speed changes (either increases or. It is designed to help you:. Show all work in the space provided. Practice-It is an online practice problem tool to help students in college and high school intro programming courses learn and practice basic CS1 and CS2 programming concepts. Select one of the multiplication table you wish to practice from the list below and show what you can do on the speed test or printout great worksheets. ClassZone Book Finder. The reading program focuses on auditory processing, phonemic awareness, phonics, fluency and reading comprehension. If one of the waves in the margin represents blue light and the other red light, which is which? Answer: The expanded visible -light portion of Figure 6. aops programs. org are unblocked. A stretched wire resonates in one loop. Sinusoidal waves (or sine waves for short) have turned out to be essential to understanding how our world works. What is the wavelength of the radio waves emitted by WKLB? Radio station KSON in San Diego broadcasts at both 1240kHz(AM) and 97. Improve your students’ reading comprehension with ReadWorks. Sound Waves is an explicit teaching program and is fully resourced with Teacher Books, Student Books, Sound Waves Online and additional digital options for non-textbook schools. com, a math practice program for schools and individual families. Physics of Sound Traveling Waves. To understand the meaning of constructive and destructive interference 2. Bundles of pipe sit by the roadside, waiting to become pipelines. Solution (a). A wave completes one vibration as it moves a distance of 2 meters at a speed of 20 meters per second. 1: Procedural Abstraction must know the details of how operating systems work, how network protocols are configured, and how to code various scripts that control function. pdf), Text File (. You can repeat this condition, and predict the outcome (experiment or test your theory). Instructions: To take the quiz, click on the answer. Here we can calculate Sound Intensity Level, Sound and Reference Intensity. Near you are two trumpet players, one marching directly towards you and one away from you at the same speed. Complete the table below. Students have been able to approach math problems in a more efficient way and this has shown through their work process. Do you know your countries, states, and capitols? Practice maps and more in this fun collection of geographic online games!. by Ron Kurtus (revised 1 December 2009) Sound waves can be classified into three groups, according to their frequency ranges. Practice-It is an online practice problem tool to help students in college and high school intro programming courses learn and practice basic CS1 and CS2 programming concepts. both the wavelength and the frequency of the wave. 3 Describe how the wavelength would be affected if the period of the wave in A was doubled. For group problem-solving and decision-making, or when a consensus is required, workshops help, within which you can incorporate these tools and process as appropriate. What is the frequency of the waves in such a. Physics scholars list the properties of waves and calculate the speed, wavelength, and frequency of waves. egregious Text messages reveal that Boeing was aware of problems. It also explains how to convert wavelength from m to um and nm to m. sound will be written as 340. This physics video tutorial provides a basic introduction into the doppler effect of moving sound waves. The MovieWavs Page holds no liability from misuse of these sound files. Get Started. Sound Waves. What is the speed of this wave? Earthquakes generate shock waves that travel through Earth’s interior to other parts of the world. Follow these simple steps to find online resources for your book. HyperPhysics is provided free of charge for all classes in the Department of Physics and Astronomy through internal networks. Problem 5: Extreme waves along ocean waters, sometimes referred to as freak waves or rogue waves, are a focus of much research and study among scientists. The mark scheme is attached within the. ION is a worldwide company that continues to design innovative products to simplify your life and energize your entertainment. Suppose that at some instant the varying pressure at your eardrum is at a maximum. More of these intuitions might come to you when you understand the problem better. Plus, all you favorite Disney and Star Wars characters!. She stood up, smiled and thanked me for being a good patient. Pick one of our High School Physics practice tests now and begin!. A wave with a frequency of 14 Hz has a wavelength of 3 meters. Designed for teaching majors; not open for credit to students who have taken MATH 402, MATH 403. (Note: your test may include problems that no sample is shown in this practice exam) 1. One cycle of a wave is 1. com you can easily practice all of your tables. Stereo or mono sound can be recorded and played back at a variety of sample rates and resolutions. waves-and-sound waves-and-sound. Sound Facts. List Your Practice; They occur when one is alert and focused on problem solving. Electromagnetic Waves Example Problems What is the frequency green light that has a wavelength of 5. Find Textbook Support Materials. Zitzewitz (McGraw-Hill/Glencoe, 2002) Waves and Energy Transfer Quiz (Chapter 14). The student explains this phenomenon by noting that the waves of sound in air are _____ waves. But to get to our ears, sound waves need to travel through some stuff, like air, that can vibrate. Reading Practice Test back into the pine-needle scent and the sound of waves plocking against the shore, and our mother's voice calling us, because it was time to. DC Physics Practice Problems. I hope to convert you to a way of thinking about waves that will permanently change the way you look at the world. Practice Problems Calculate the intensity of a wave if the power transferred is 10 W and the area through which the wave is transferred is 5 square meters. As we have seen, the Greeks recognized connections between harmonic intervals and rational numbers. Light waves and radio waves travel at a speed of 3 x 10 meters (186,000 miles) per second, while sound waves travel at 344 meters (1100 ft) per second at 70 F. Chemistry Practice: "Frequency, Wavelength and Energy" 1 frequencywavelengthpractice. Learn addition and subtraction word problems. This quiz is about the properties of waves. Suppose that at some instant the varying pressure at your eardrum is at a maximum. Sound is caused by compression and rarefaction of air molecules. We want to make it easy for you to become a sound pressure mathematical genius. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. As we will explore in the coming chapter, a wave's properties depend on its medium. If not solved quickly, one could either expect long term damage to the motor or immediate failure, which would result in immediate loss of production. Authoritative 700-150 Practice Tests, Ensure to pass the 700-150 Exam, Cisco 700-150 Practice Tests The last one is APP online version, Cisco 700-150 Practice Tests Actually, you may feel said when you fail to solve text items, on the contrary, you will have a sense of achievement when you settle down a tough problem, Cisco 700-150 Practice Tests Please contact us if you have any questions. the sound sources. Math test activities for students and teachers of all grade levels. Pre-algebra, Algebra I, Algebra II, Geometry, Physics. Waves on a string are described by the following general equation. the total pppressure in the path of a sinusoidal sound wave is of the form P P a P 0 sin 2 f t P a is the ambient air pressure (which at sea level at OoC is 1. Problem Solving with Algorithms and Data Structures, Release 3. And with the EV company’s new Smart Summon feature, which launched in beta in September, they’re now trying to solve the problem of the parking lot. You will receive incredibly detailed scoring results at the end of your High School Physics practice test to help you identify your strengths and weaknesses. Physics Help Forum. 5m-long sound wave. When the waves reach our ears, they make our eardrums vibrate too, so we can hear the words. ) How long would it take his friend who is standing nearby to hear the same whistle if. For the wave function,* A* is just some. Why Paper?. Problem-solving therapy (PST) is a form of psychotherapy. The period of a wave is 4 s. Sound/Noise. Complete the table below. The examples given on this page come from this Fourier Series chapter. Unit Test - SPH3U Grade 11 Physics - Waves and Sound Length of pipe = ¼ * wavelength (8 marks) 2. Mechanics and Oscillations. This site uses high speed video and animations to help explain waves and. At what speed will this wave travel? 2. Product troubleshooting support, DIY advice, and help from experts & local pros. Multiplication Step-by-Step Exercise. Let's take a look at these three issues in reverse order. This is why you end up having sounds at different velocities and each sound also has their own frequency as well as amplitude. [Grade: 6-8 | Topics: metric measurement; scaling; Scientific Notation. A wave on a certain guitar string travels at a speed of 200m/s. As in the one dimensional situation, the constant c has the units of velocity. Problem Solving with Algorithms and Data Structures, Release 3. Its left and right hand ends are held fixed at height zero and we are told its initial configuration and speed. Learn addition and subtraction word problems. I can't pinpoint where I've gone wrong or if I have left a formula out (I'm a teacher solving this question for an exam my students will. John Nosti, DMD, FAGD, FACE. I hope to convert you to a way of thinking about waves that will permanently change the way you look at the world. 0 The energy of the first spring is. REDISH Department of Physics, University of Maryland College Park, MD, 20742-4111 USA Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. A stretched wire resonates in one loop. Solving Acoustic Problems in Rehearsal and Practice Spaces By Ron Freiheit, Wenger Corporation In the ideal world, every music educator could design his or her own rehearsal and practice facilities, working with world-class acoustical experts and unlimited financial resources. Yuwei is motivated to continue her graduate study in analytics. Download free on Google Play. Find activities and resources for each unit. Questions pertaining to sound If you're behind a web filter, please make sure that the domains *. It's a perfect resource for those wishing to improve their problem-solving skills. If the wavelength of the wave is 0.