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1 Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at www.boundless.com Available on the Boundless Teaching Platform

2 Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please email: educators@boundless.com http://boundless.com/teaching-platform

3 Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com.boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com About Boundless

4 Transverse Waves Standing Waves on a String Reflections Transverse Waves Wave Optics: Linear Superposition and Interfere... > Transverse Waves Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics?campaign_content=book_5818_section_147&campaign_term=Physics&utm_campaign=powerpoint&utm_medium= direct&utm_source=boundless

5 Transverse waves oscillate in the z-y plane but travel along the x axis. A transverse wave has a speed of propagation given by the equation v = fλ. The direction of energy transfer is perpendicular to the motion of the wave. Transverse Waves Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-physics-9th-john-d-cutnell-kenneth-w-johnson-1118129172-9781118129173/wave-optics- linear-superposition-and-interference-phenomena-17/transverse-waves-147/transverse-waves-539- 6344?campaign_content=book_5818_section_147&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Sine Wave View on Boundless.com Wave Optics: Linear Superposition and Interfere... > Transverse Waves

6 The reflected wave is inverted from the incident wave when a transverse wave on a string is fixed at the end point. The reflected wave is not inverted from the incident wave when a transverse wave on a string is free at the end point. A standing wave occurs when an incident wave meets a reflected wave on a string. A standing wave contains nodes (points that remain flat due to the destructive interference) and antinodes (points with maximum oscillation due to the constructive interference). Every point in the string oscillates up and down and the amplitude of the oscillations depends on the location of the point. A standing wave has some points that remain flat due to destructive interference. These are called antinodes. The points on a standing wave that have reached maximum oscillation do so from constructive interference, and are called nodes. Standing Waves on a String Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-physics-9th-john-d-cutnell-kenneth-w-johnson-1118129172-9781118129173/wave-optics- linear-superposition-and-interference-phenomena-17/transverse-waves-147/standing-waves-on-a-string-540- 11254?campaign_content=book_5818_section_147&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bo undless Free End Reflection View on Boundless.com Wave Optics: Linear Superposition and Interfere... > Transverse Waves

7 When a transverse wave on a string is fixed at the end point, the reflected wave is inverted from the incident wave. When a transverse wave on a string is free at the end point, the reflected wave is not inverted from the incident wave. A standing wave occurs when an incident wave meets a reflected wave on a string. The points in a standing wave that appear to remain flat and do not move are called nodes. The points which reach the maximum oscillation height are called antinodes. Every point in the medium containing a standing wave oscillates up and down and the amplitude of the oscillations depends on the location of the point. A standing wave has some points that remain flat due to destructive interference. These are called antinodes. The points on a standing wave that have reached maximum oscillation do so from constructive interference, and are called nodes. Reflections Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-physics-9th-john-d-cutnell-kenneth-w-johnson-1118129172-9781118129173/wave-optics- linear-superposition-and-interference-phenomena-17/transverse-waves-147/reflections-541- 6295?campaign_content=book_5818_section_147&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Transverse Wave View on Boundless.com Wave Optics: Linear Superposition and Interfere... > Transverse Waves

8 Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

9 Key terms amplitude The maximum absolute value of some quantity that varies. constructive interference Occurs when waves interfere with each other crest to crest and the waves are exactly in phase with each other. crest The ridge or top of a wave. destructive interference Occurs when waves interfere with each other crest to trough (peak to valley) and are exactly out of phase with each other. direction of propagation The axis along which the wave travels. speed of propagation The speed at which a wave moves through a medium. standing wave A wave form which occurs in a limited, fixed medium in such a way that the reflected wave coincides with the produced wave. A common example is the vibration of the strings on a musical stringed instrument. transverse wave Any wave in which the direction of disturbance is perpendicular to the direction of travel. trough A long, narrow depression between waves or ridges. wavelength The length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next; it is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency. Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere...

10 Transverse Wave With a Fixed End Point A transverse wave that is fixed at the end point. The reflected wave is inverted. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m32635/latest/View on Boundless.com Wave Optics: Linear Superposition and Interfere...

11 Wavelength and Amplitude The wavelength is the distance between adjacent crests. The amplitude is the 1/2 the distance from crest to trough. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "Wave." GNU FDL http://simple.wikipedia.org/wiki/File:Wave.png View on Boundless.comGNU FDLhttp://simple.wikipedia.org/wiki/File:Wave.pngView on Boundless.com Wave Optics: Linear Superposition and Interfere...

12 Fixed End Reflection When a transverse wave meets a fixed end, the wave is reflected, but inverted. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m32635/latest/View on Boundless.com Wave Optics: Linear Superposition and Interfere...

13 Standing Wave on a String This is what a standing wave would look like if you were to slow it down. The wave is caused by an incident wave on a string being reflected and then traveling back in the direction it came from. The two waves then meet and interfere with each other causing this phenomenon. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "Standing wave." Public domain http://en.wikipedia.org/wiki/File:Standing_wave.gif View on Boundless.comPublic domainhttp://en.wikipedia.org/wiki/File:Standing_wave.gifView on Boundless.com Wave Optics: Linear Superposition and Interfere...

14 Two Types of Waves: Longitudinal vs. Transverse Even ocean waves! Free to share, print, make copies and changes. Get yours at www.boundless.com View on Boundless.com Wave Optics: Linear Superposition and Interfere...

15 Transverse Wave With a Free End When a transverse wave meets a free end, it is reflected. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m32635/latest/View on Boundless.com Wave Optics: Linear Superposition and Interfere...

16 Transverse Wave Diagram of a transverse wave. The wave motion moves perpendicular to the medium it is traveling in. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m32635/latest/View on Boundless.com Wave Optics: Linear Superposition and Interfere...

17 Sine Wave The direction of propagation of this wave is along the t axis. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "ComplexSinInATimeAxe." Public domain http://en.wikipedia.org/wiki/File:ComplexSinInATimeAxe.gif View on Boundless.comPublic domainhttp://en.wikipedia.org/wiki/File:ComplexSinInATimeAxe.gifView on Boundless.com Wave Optics: Linear Superposition and Interfere...

18 Free End Reflection The wave is reflected, but unlike a transverse wave with a fixed end, it is not inverted. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m32635/latest/View on Boundless.com Wave Optics: Linear Superposition and Interfere...

19 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... The following are examples of the transverse wave: A) seismic waves and sound waves B) seismic waves and the motion of the electric and magnetic fields in an electromagnetic plane waves C) pressure waves and the motion of the electric and magnetic fields in an electromagnetic plane waves D) pressure waves such as sound waves

20 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... The following are examples of the transverse wave: A) seismic waves and sound waves B) seismic waves and the motion of the electric and magnetic fields in an electromagnetic plane waves C) pressure waves and the motion of the electric and magnetic fields in an electromagnetic plane waves D) pressure waves such as sound waves

21 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... Transverse waves propagate through media A) in the direction of energy transfer B) against the direction of energy transfer C) independently of the direction of energy transfer D) propagate through media orthogonally to the direction of energy transfer

22 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... Transverse waves propagate through media A) in the direction of energy transfer B) against the direction of energy transfer C) independently of the direction of energy transfer D) propagate through media orthogonally to the direction of energy transfer

23 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... A standing wave occurs when A) a transverse wave meets a fixed end B) a transverse wave meets a free end C) an incident wave is reflected D) an incident wave meets a reflected wave on a string

24 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... A standing wave occurs when A) a transverse wave meets a fixed end B) a transverse wave meets a free end C) an incident wave is reflected D) an incident wave meets a reflected wave on a string

25 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... Nodes are points A) that remain flat due to the constructive interference B) with maximum oscillation due to the constructive interference C) that remain flat due to the destructive interference D) with maximum oscillation due to the destructive interference

26 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... Nodes are points A) that remain flat due to the constructive interference B) with maximum oscillation due to the constructive interference C) that remain flat due to the destructive interference D) with maximum oscillation due to the destructive interference

27 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... A standing wave occurs when A) a transverse wave in string meets one end B) a transverse wave is reflected C) an incident wave meets a reflected wave on a string D) a reflected wave meets another end

28 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... A standing wave occurs when A) a transverse wave in string meets one end B) a transverse wave is reflected C) an incident wave meets a reflected wave on a string D) a reflected wave meets another end

29 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... When transverse waves in strings meet one end, they are A) diffracted B) retracted C) reduced D) reflected

30 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... When transverse waves in strings meet one end, they are A) diffracted B) retracted C) reduced D) reflected

31 Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere... The points in a standing wave that appear to remain flat and do not move are called A) antinodes B) reflected points C) incident points D) nodes

32 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Wave Optics: Linear Superposition and Interfere... The points in a standing wave that appear to remain flat and do not move are called A) antinodes B) reflected points C) incident points D) nodes

33 Attribution Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/CC BY 3.0http://cnx.org/content/m32635/latest/ Wiktionary. "standing wave." CC BY-SA 3.0 http://en.wiktionary.org/wiki/standing+waveCC BY-SA 3.0http://en.wiktionary.org/wiki/standing+wave Wiktionary. "amplitude." CC BY-SA 3.0 http://en.wiktionary.org/wiki/amplitudeCC BY-SA 3.0http://en.wiktionary.org/wiki/amplitude Wiktionary. "transverse wave." CC BY-SA 3.0 http://en.wiktionary.org/wiki/transverse+waveCC BY-SA 3.0http://en.wiktionary.org/wiki/transverse+wave Wikipedia. "Transverse wave." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Transverse_waveCC BY-SA 3.0http://en.wikipedia.org/wiki/Transverse_wave Wikipedia. "Transverse wave." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Transverse_waveCC BY-SA 3.0http://en.wikipedia.org/wiki/Transverse_wave Wikipedia. "Transverse wave." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Transverse_waveCC BY-SA 3.0http://en.wikipedia.org/wiki/Transverse_wave Wikipedia. "direction of propagation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/direction%20of%20propagationCC BY-SA 3.0http://en.wikipedia.org/wiki/direction%20of%20propagation Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/speed-of-propagationCC BY-SA 3.0http://www.boundless.com//physics/definition/speed-of-propagation Wiktionary. "transverse wave." CC BY-SA 3.0 http://en.wiktionary.org/wiki/transverse+waveCC BY-SA 3.0http://en.wiktionary.org/wiki/transverse+wave Wiktionary. "wavelength." CC BY-SA 3.0 http://en.wiktionary.org/wiki/wavelengthCC BY-SA 3.0http://en.wiktionary.org/wiki/wavelength Wiktionary. "trough." CC BY-SA 3.0 http://en.wiktionary.org/wiki/troughCC BY-SA 3.0http://en.wiktionary.org/wiki/trough Wiktionary. "crest." CC BY-SA 3.0 http://en.wiktionary.org/wiki/crestCC BY-SA 3.0http://en.wiktionary.org/wiki/crest Connexions. "Transverse Waves - Grade 10." CC BY 3.0 http://cnx.org/content/m32635/latest/CC BY 3.0http://cnx.org/content/m32635/latest/ Wikipedia. "Vibrating string." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Vibrating_stringCC BY-SA 3.0http://en.wikipedia.org/wiki/Vibrating_string Wikipedia. "Standing waves." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Standing_wavesCC BY-SA 3.0http://en.wikipedia.org/wiki/Standing_waves Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/destructive-interferenceCC BY-SA 3.0http://www.boundless.com//physics/definition/destructive-interference Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere...

34 Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/constructive-interferenceCC BY-SA 3.0http://www.boundless.com//physics/definition/constructive-interference Wiktionary. "transverse wave." CC BY-SA 3.0 http://en.wiktionary.org/wiki/transverse+waveCC BY-SA 3.0http://en.wiktionary.org/wiki/transverse+wave Free to share, print, make copies and changes. Get yours at www.boundless.com Wave Optics: Linear Superposition and Interfere...


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