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(c) First, we set
θ
= 90° and find the largest value of
m
for which
m
λ
<
d
sin
. This is the
highest order that is diffracted toward the screen. The condition is the same as
m < d
/
λ
and since
d
/
λ
= (6.0
×
10
–6
m)/(600
×
10
–9
m) = 10.0,
the highest order seen is the
m
= 9 order. The fourth and eighth orders are missing, so the
observable orders are
m
= 0, 1, 2, 3, 5, 6, 7, and 9. Thus, the largest value of the order
number is
m
= 9.
(d) Using the result obtained in (c), the second largest value of the order number is
m
= 7.
(e) Similarly, the third largest value of the order number is
m
= 6.
51. (a) Maxima of a diffraction grating pattern occur at angles
given by
d
sin
=
m
λ
,
where
d
is the slit separation,
λ
is the wavelength, and
m
is an integer. The two lines are
adjacent, so their order numbers differ by unity. Let
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Diffraction

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