hw1 - f x , t ( ) = sin x − c + u ( ) t [ ] . b) Show...

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Department of Physics Lior Burko University of Alabama in Huntsville Fall semester, 2010 PH 251: Special Relativity Homework Assignment No. 1 Due date: 9/3/2010 All coded problems are from the textbook: 1. Take the solution for the wave equation in the primed reference frame to be f ʹ x , ʹ t ( ) = sin ʹ x c ʹ t ( ) . a) Show that under Galilean transformations x ʹ x x , t ( ) = x ut t ʹ t x , t ( ) = t this solution is transformed to
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Unformatted text preview: f x , t ( ) = sin x − c + u ( ) t [ ] . b) Show that this solution does not satisfy the wave equation in its form in the primed frame, i.e., ˙ ˙ f − c 2 ʹ ʹ f ≠ . c) Show that this solution does satisfy the transformed wave equation ˙ ˙ f − c 2 − u 2 ( ) ʹ ʹ f + 2 u ˙ ʹ f = . R1B.2 R1B.3 R1S.2 R1S.5 R1S.9 R1R.2 R1A.1...
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This note was uploaded on 07/19/2011 for the course PH 251 taught by Professor Staff during the Fall '10 term at University of Alabama - Huntsville.

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