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396
Interference of Light Waves
*P37.46
Along the line of length
d
joining the source, two identical waves
moving in opposite directions add to give a standing wave. An
antinode is halfway between the sources. If
d
22
>
λ
, there is space for
two more antinodes for a total of three. If
d
2
>
, there will be at least
five antinodes, and so on. To repeat, if
d
>
0 , the number of antinodes
is 1 or more. If
d
>
1, the number of antinodes is 3 or more. If
d
>
2, the
number of antinodes is 5 or more. In general,
sNAN
s
4
FIG. P37.46
The number of antinodes is 1 plus 2 times the greatest integer less than or equal to
d
.
If
d
24
<
, there will be no nodes. If
d
>
, there will be space for at least two nodes, as shown in the
picture. If
d
2
3
4
>
, there will be at least four nodes. If
d
2
5
4
>
six or more nodes will fit in, and so on.
To repeat, if 2
d
<
the number of nodes is 0. If 2
d
>
the number of nodes is 2 or more. If
23
d
>
the number of nodes is 4 or more. If
25
d
>
the number of nodes is 6 or more. Again, if
d
+
F
H
G
I
K
J
>
1
2
1,
the number of nodes is at least 2. If
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics, Light

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