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Exp 16: single-slit diffraction, Suggestions on – procedure, You would only see one maxima – PASCO OS-8500 INTRODUCTORY OPTICS SYSTEM User Manual

Page 69: But if, Then, W sin tan, Xl = n, Sin tan, Nw > 1, Position single-slit intensity

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012-02744K

Introductory Optics System

®

63

Exp 16: Single-Slit Diffraction

Suggestions on – Procedure

The spacing between fringes increases with de-
creasing slit width.

The double-slit patterns are a superposition of a
single-slit pattern and a “bar” pattern. The single-
slit pattern goes like this:

and the double-slit pattern shows this same intensity
pattern superimposed on a finer pattern.

The wavelengths obtained by this method are consis-
tently higher than expected. This is due to difficulties
in measuring the exact position of the minimum, due
to the width of that minimum. For a better way of
calculating wavelengths, use experiment 15.

You would only see one maxima.

W sin tan

±1

X

L

= n

λ

sin tan

±1

X

L

=

λ

n

W

but if

W <

λ

then

λ

n

W

> 1

(unless n = 0)

However, sin(x) - 1; so the equation is not valid
unless n = 0. Therefore you would expect to see
only the zeroth maxima.

W = 0.04

L = 448

n

X

wavelength

Red

1

9

803.4E—9

2

18

802.9E—9

3

27

802.1E—9

Green

1

8

714.1E—9

2

16

713.8E—9

3

24

713.2E—9

Blue

1

7

624.9E—9

2

14

624.6E—9

3

22

653.9E—9

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

-7

-5

-3

-1

1

3

5

7

Intensity

Position

Single-Slit Intensity

XX

XX

XX

XX

XX

XX

XX

XX

XXXXXXXXXXX

XX

X

X

X

X

X

X

X

X

X

X

X

XX

XXXXXXXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XX

XXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XXXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XXXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XXXXX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XX

XXXXXX

XX

X

X

X

X

X

X

X

X

X

X

X

XX

XX

XXX

XXXXXXXX

XX

XX

XX

XX

XX

XX

XX

X

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

-7

-5

-3

-1

1

3

5

7

Intensity

Position

Double-Slit Intensity