4.5+Standing+Waves

= = flat =Learning Outcomes=

Introduction to principle of superposition of waves
[]



Simulation on standing wave formation




Powerpoints used in class
__**These powerpoint helps to understand the reflection of a pulse at a boundary and an end, fixed or loose.**__

Refraction and phase change at a boundary From rarer to denser From denser to rarer Reflection at fixed boundary- causes a pie phase difference Reflection at soft boundary- causes no phase difference
 * Important points-**
 * Again, note that speed, wavelength, and amplitude change at the boundary.
 * The wavelength and amplitude decreases as the ray is refracted and a pie phase change is there in the reflected wave
 * The wavelength and amplitude increases as the ray is refracted and no phase change is there in the reflected wave

__**This powerpoint helps to understand the basic concepts of wave**__

=Simulation on standing waves in a string=





=Standing longitudinal waves in a tube=

@http://www.walter-fendt.de/html5/phen/standinglongitudinalwaves_en.htm



= = =Simulation to find velocity of sound= @http://www.mathsphysics.com/Physics/SpeedOfSound.htm = = =Lab documents=

@http://www2.cose.isu.edu/~hackmart/spl1sws.pdf =Visible sound waves=

media type="custom" key="23928878"

=Seeing sound through fire= media type="custom" key="23928908" =Powerpoint presentation=




 * === Standing waves Simulations === || [|Feedback] ||


 * ** Waves in one dimension ** ||


 * [[image:http://www.physics.ucc.ie/understanding_physics/chapters/images/fendt.gif width="54" height="54" align="top" caption="Walter Fendt's Java Applets on Physics"]] || A nice simulation showing how standing waves arise from the superposition of incident and reflected waves is given in the Standing wave applet from**Walter Fendt's Java Applets on Physics**. ||


 * For an interactive exercise on **standing waves on a string** run the **Halliday, Resnick and Walker** simulation Standing Waves. || [[image:http://www.physics.ucc.ie/understanding_physics/chapters/images/0470568364.jpg width="48" height="64" align="top" caption="Halliday, Resnick, Walker: Principles of Physics, 9th Edition, J Wiley & Sons"]] ||


 * The **ActivPhysics OnLine** website contains two useful interactive exercises on the same topic, namely Standing Waves on Strings and Tuning a Stringed Instrument. Note that the equation for the speed of a wave on a string, //v// = √(//T/ m //), will be derived in Section 12.11 of //Understanding Physics//. ||


 * [[image:http://www.physics.ucc.ie/understanding_physics/chapters/images/fendt.gif width="54" height="54" align="top" caption="Walter Fendt's Java Applets on Physics"]] || For a simulation of **longitudinal waves in a pipe** see **Walter Fendt's applet** on Standing Longitudinal Waves. ||