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Chapter 38
427
(b)
From Equation 38.4,
I
I
max
sin
=
L
N
M
M
O
Q
P
P
β
2
2
2
bg
where
πθ
λ
=
2
a
sin
.
When
θ
=°
15 0
.,
π
=
°
=
2
0 060 0
15 0
00400
244
.s
i
n
.
.
.
m
m
rad
and
I
I
max
sin .
.
.
=
L
N
M
O
Q
P
=
122
0593
2
rad
rad
af
.
(c)
sin
=
a
so
41 8
.:
This is the minimum angle subtended by the two sources at the slit.
Let
α
be the half angle between the sources, each a distance
A
=
0100
.
m from the center line and a distance
L
from the slit
plane. Then,
L
==
°
F
H
G
I
K
J
=
A
cot
.
cot
.
.
41 8
2
0262
m
m
a
f
.
FIG. P38.63(c)
P38.64
I
I
max
cos
.
cos
.
°
=
1
2
45 0
45 0
1
8
22
ej
P38.65
dm
sin
θλ
=
and, differentiating,
dd
m
d
cos
θθ
=
or
1
2
−≈
sin
∆∆
d
m
d
m
1
2
so
∆
∆
≈
−
22 2
.
*P38.66
(a)
The angles of bright beams diffracted from the grating are given by
sin
=
. The
angular dispersion is defined as the derivative
d
d
:
d
d
d
m
a
f
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics

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