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Page 1: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string

Waves  Revision  

Page 2: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 3: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 4: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 5: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 6: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 7: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 8: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 9: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 10: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 11: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 12: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 13: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 14: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string

Sep  2012,  Q3  

And  remember  v=ω/k  

Page 15: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 16: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 17: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 18: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 19: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 20: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 21: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 22: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 23: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string

y(x,t) = (Acoskx+Bsinkx)(Ccoskct + Dsinkct)

Or  e.g.  d’Alambert      y(x,t)  =  Asin(kx  -­‐  ω  t)  +  Bsin(kx  +  ωt)    

Page 24: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string
Page 25: Waves&Revision& · Waves - syllabus Focus first on the below topics Derivation of the one-dimensional wave equation and its applica- tion to transverse waves on a stretched string