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GursodhGill
Section201
L2E
Standing Waves
The wave function is given by A(x)=0.15sin(4x). Determine,
a) the amplitude and wavelength
b) The location of the first 4 anti nodes and nodes
c) The location of the first point from the origin where the amplitude is 0.1m.
a) K=2pi/λ, λ= 2pi/4, λ= 1.57m
2A=0.15m, A= 0.075m
b) Nodes:
x=0
x= λ/2= 1.57/2=0.785
x= λ= 1.57
x= 3 λ/2=2.4
Antinodes:
x= λ/4= 1.57/4= 0.39
x=3 λ/4=1.18
x=5 λ/4=1.96
x=7 λ/4=2.75
c) 0.1=0.15sin(4x)
0.66=sin(4x)
sin^-1(0.66)=4x
0.72=4x
x= 0.18m

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Standing waves

  • 1. GursodhGill Section201 L2E Standing Waves The wave function is given by A(x)=0.15sin(4x). Determine, a) the amplitude and wavelength b) The location of the first 4 anti nodes and nodes c) The location of the first point from the origin where the amplitude is 0.1m. a) K=2pi/λ, λ= 2pi/4, λ= 1.57m 2A=0.15m, A= 0.075m b) Nodes: x=0 x= λ/2= 1.57/2=0.785 x= λ= 1.57 x= 3 λ/2=2.4 Antinodes: x= λ/4= 1.57/4= 0.39 x=3 λ/4=1.18 x=5 λ/4=1.96 x=7 λ/4=2.75 c) 0.1=0.15sin(4x) 0.66=sin(4x) sin^-1(0.66)=4x 0.72=4x x= 0.18m