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9. Using
v
=
f λ,
we find the length of one cycle of the wave is
λ
= 350/500 = 0.700 m = 700 mm. From
f
= 1/T , we find the time for one cycle of oscillation is
T
= 1/500 = 2.00
×
10
−3
s = 2.00 ms.
(a) A cycle is equivalent to 2π radians, so that
π/3
rad corresponds to one-sixth of a cycle. The
corresponding length, therefore, is
λ/6
= 700/6 = 117 mm.
(b) The interval 1.00 ms is half of
T
and thus corresponds to half of one cycle, or half of 2π rad. Thus,
the phase difference is (1/2)2π =
π
rad.
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