A02_SS_2007 - Physical chemistry III PROBLEMS SS 2007...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Physical chemistry III PROBLEMS SS 2007 Exercise II These exercises refer to chapter 3 of the script, which recapitulates central concepts in physics. Make sure that you know them well before you do your exercises… 1. Wave equation Consider a guitar string fixed at both ends, between x=0 and x=2. The displacement away from the equilibrium position of the string portion located between x and x+dx at time t is called (x,t) . At time t=0, the string is at its equilibrium position, but an initial speed is given all along the string, so that : (eq. 1) ( ,0) 2 x x t y = - a) The wave equation describing the motion of this string is : (eq. 2) 2 2 2 2 0 ( , ) ( , ) x t x t x T t r = . Give a comprehensive summary of the laws and approximations necessary to obtain eq. 2. Is this equation dependent on the initial or boundary conditions? Mention some other fields of physics described by the same kind of wave equation. b) Write down the two harmonic oscillator-like differential equations (like eq. 1 p. 12 of the
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

A02_SS_2007 - Physical chemistry III PROBLEMS SS 2007...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online