107. (a)
The central diffraction envelope spans the range –
θ
1
<
< +
1
where
1
1
sin
,
a
λ
−
=
which could be further simplified
if
the smallangle approximation were justified (which
it is
not
, since
a
is so small).
The maxima in the doubleslit pattern are at
m
m
d
=
−
sin
,
1
λ
so that our range specification becomes
11
1
sin
sin
sin
,
m
ad
a
λλ
−−
−
⎛⎞
⎛ ⎞
−<
<
+
⎜⎟
⎜ ⎟
⎝⎠
⎝ ⎠
which we change (since sine is a monotonically increasing function in the fourth and first
quadrants, where all these angles lie) to
This is the end of the preview. Sign up
to
access the rest of the document.
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

Click to edit the document details