This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: PHYSICS 218 SOLUTION TO HANDOUT 5 Created: September 19, 2004 10:02pm Last updated: September 19, 2004 11:34pm Fixed and free boundary conditions. Lets consider a transverse sinusoidal wave travelling on a string consisting of two parts, where the left part has a linear density 1 and the right part a different linear density 2 , but with both parts under the same tension (our good old Newtons Laws still work here!). For convenience, the origin is chosen at the discontinuity x = 0, and a source on the negative xaxis sends waves towards the discontinuity. We have seen that the reflection and transmission coefficients of waves at a discontinuity are given by R = k 1 k 2 k 1 + k 2 , T = 2 k 1 k 1 + k 2 , (1) where k 1 and k 2 are the magnitude of the wave vectors to the left and right of the discontinuity, respectively. 1. Show that R and T can be written in the form R = v 2 v 1 v 2 + v 1 , T = 2 v 2 v 2 + v 1 , (2) where v 1 and v 2 are the magnitude of the wave velocities to the left and right of...
View
Full
Document
This note was uploaded on 09/28/2008 for the course PHYS 218 taught by Professor Pollack during the Fall '04 term at Cornell University (Engineering School).
 Fall '04
 POLLACK
 Physics, Magnetism

Click to edit the document details