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(d) The next one can be found to be
α
= 4.493 rad.
(e) For
= 4.4934,
m
= 0.930.
(f) The next one can be found to be
= 7.725 rad.
(g) For
= 7.7252,
m
= 1.96.
15. (a) The intensity for a singleslit diffraction pattern is given by
II
m
=
sin
2
2
where
is described in the text (see Eq. 366). To locate the extrema, we set the
derivative of
I
with respect to
equal to zero and solve for
. The derivative is
dI
d
I
m
αα
=−
2
3
cos
sin
.
bg
The derivative vanishes if
0
≠
but sin
= 0. This yields
=
m
π
, where
m
is a nonzero
integer. These are the intensity minima:
I
= 0 for
=
m
π
. The derivative also vanishes for
cos
– sin
= 0. This condition can be written tan
=
. These implicitly locate the
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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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