perposition of amplitude A De A 1. to 1. AL

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The mathematical form of a wave packet formed by
linear superposition of sinusoidal waves with
constant amplitude A and wave numbers in the
range k - Ak to k + A k is:
rx + Ax
S**
а.
y(x,t) =
Acos (k't – o't) dk
X- Ax
b.
rk+ Ak
y(x,t) = /
k - Ak
Acos (k'x – w't) dk'
w + A
O c.
y(x,t) =
S**
Acos (k'x – o't) do'
ω-Δω
O d.
y(x,t)
i+ At
Acos (k'x – o't) dt'
1- At
Transcribed Image Text:The mathematical form of a wave packet formed by linear superposition of sinusoidal waves with constant amplitude A and wave numbers in the range k - Ak to k + A k is: rx + Ax S** а. y(x,t) = Acos (k't – o't) dk X- Ax b. rk+ Ak y(x,t) = / k - Ak Acos (k'x – w't) dk' w + A O c. y(x,t) = S** Acos (k'x – o't) do' ω-Δω O d. y(x,t) i+ At Acos (k'x – o't) dt' 1- At
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