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324
CHAPTER 24
24.42
The grating spacing is
46
1 cm
8.33
10
cm
8.33
10
m
1200
−−
==
×
=
×
d
Using
sin
m
d
λ
θ
=
and the small angle approximation, the distance from the central
maximum to the maximum of order
m
for wavelength
is
( )
tan
sin
m
yL
L
L
d
θθ
=≈=
m
. Therefore, the spacing between successive maxima is
1
mm
yy
y
L
d
+
∆=
−
=
(
.
The longer wavelength in the light is found to be
)
( )( )
36
8.44
10
m
8.33
10
m
nm
0.150 m
××
469
=
long
yd
L
∆
Since the third order maximum of the shorter wavelength falls halfway between the
central maximum and the first order maximum of the longer wavelength, we have
3
2
short
L
01
long
L
dd
+
=
or
()
1
469 nm
8.1 nm
6
short
7
24.43
The grating spacing is
1 mm
2.50
10
mm
2.50
10
m
400
×
=
×
d
From
sin
dm
=
, the angle of the secondorder diffracted ray is
( )
1
sin
2
d
θλ
−
=
.
(a) When the grating is surrounded by air, the wavelength is
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This note was uploaded on 12/09/2011 for the course PHYS 2020 taught by Professor Staff during the Fall '10 term at FIU.
 Fall '10
 STAFF
 Physics

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