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Wave Optics
325
24.44
When light of wavelength
λ
passes through a single slit of width
a
, the first minimum is
observed at angle
θ
where
sin
a
=
or
1
sin
a
=
a
−
This will have no solution if
<
, so the maximum slit width if no minima are to be
seen is
632
nm
a
==
.8
.
24.45
(a) From Brewster’s law, the index of refraction is
()
2
tan
tan 48.0
1.11
p
n
°
=
(b) From Snell’s law,
22
1
sin
sin
nn
1
=
, we obtain when
1
p
=
( )
1
2
si
sin48.0
sin
42.0
1.11
n
n
°
11
2
n
1.00
sin
p
−−
1
=
°
Note that when
p
=
2
90.0
,
p
=
°−
as it should.
24.46
Unpolarized light incident on a polarizer contains electric field vectors at all angles to
the transmission axis of the polarizer. Malus’s law then gives the intensity of the
transmitted light as
( )
2
0
av
cos
II
=
. Since the average value of
2
cos
is
12,
the
intensity of the light passed by the first polarizer is
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 Spring '09
 Physics, Work, Light

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