bmt1soln_10

# bmt1soln_10 - 10/22/2010 Physics 9B-C Midterm 1 Solutions...

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Unformatted text preview: 10/22/2010 Physics 9B-C Midterm 1 Solutions Cole, UC Davis 20 points per problem/100 points total. [1]a)longitudinalb)0c)frequencyd)awayfrome)fasterf)increaseg)antinodes h)alloftheabovei)leasttimej)noneoftheabove. [2]a)(8pts)Plugthesolutionintothewaveequation.Firstcalculatethesecondderivatives: y t = A cos kx t ( ) & y x = kA cos kx t ( ) Also, 3 y x 3 = k 3 A cos kx t ( ) .PlugintotheKdV equation:- A cos( kx-t)+u k A cos( kx-t )-( k 3 /6) A cos( kx-t )=0 Dividebythe A cos()andsolvefor:= uk 6 k 3 whichisthedispersionrelation. b)(4pts) v p =...
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## This note was uploaded on 09/28/2011 for the course PHY 9B PHY9AFQ201 taught by Professor Stevn during the Winter '11 term at UC Davis.

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bmt1soln_10 - 10/22/2010 Physics 9B-C Midterm 1 Solutions...

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