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Physics
Physics
Problem
Which of the following expressions gives the frequency
f
n
f_n
f
n
of the
n
th
n^{\text{th}}
n
th
harmonic produced by an organ pipe open at both ends, where
v
v
v
is the speed of sound and
L
L
L
is the length of the pipe? a)
f
n
=
(
2
n
−
1
)
v
4
L
f_n = \dfrac{(2n-1) v}{4L}
f
n
=
4
L
(
2
n
−
1
)
v
b)
f
n
=
n
v
4
L
f_n = \dfrac{n v}{4L}
f
n
=
4
L
n
v
c)
f
n
=
n
v
2
L
f_n = \dfrac{n v}{2L}
f
n
=
2
L
n
v
d)
f
n
=
v
2
L
n
f_n = \dfrac{v}{2Ln}
f
n
=
2
L
n
v
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