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39.
(a) The resonant wavelengths are given by
λ
=2
L/n
,where
L
is the length of the string and
n
is an
integer, and the resonant frequencies are given by
f
=
v/λ
=
nv/
2
L
,whe
re
v
is the wave speed.
Suppose the lower frequency is associated with the integer
n
. Then, since there are no resonant
frequencies between, the higher frequency is associated with
n
+1. That is,
f
1
=
nv/
2
L
is the lower
frequency and
f
2
=(
n
+ 1)
v/
2
L
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 Fall '08
 SPRUNGER
 Physics

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