



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
A lab report for a university physics course, phys141, focusing on the concepts of diffraction and interference of light waves. Students are introduced to the historical background of these phenomena and their significance in various fields. The lab includes observations and measurements of diffraction patterns using a laser and diffraction gratings, as well as two-slit and multiple-slit interference experiments. The goal is to gain practical experience, understand diffraction effects, and quantify the relationship between slit width and diffraction pattern width.
Typology: Lab Reports
1 / 7
This page cannot be seen from the preview
Don't miss anything!




1. Introduction
Waves are distinguished by the fact that they diffract (spread out) when they pass by obstacles or through
openings ("slits") and that they display interference behavior when two or more waves come together at a point. In the
18th and 19th centuries, experiments similar to the ones you will perform in this lab demonstrated that visible light shows
diffraction and interference behavior. The conclusions drawn from these experiments were profound: visible light is a
wave of some sort. In the late 1800s, it was shown convincingly by Maxwell that light (as well as many other forms of
radiation) is an electromagnetic wave. As we have seen, however, Einstein provided a curious twist in our understanding
of the nature of light. In 1905, Einstein explained that light must be a particle. It is this wave-particle duality that forms
much of the basis of quantum mechanics.
Diffraction and interference phenomena are not just a curious side-show in our discussion of waves. Rather,
these effects are prevalent and important in numerous systems involving waves, such as concert halls, microwave ovens,
anti-reflective coatings, and any sort of wireless communications. Diffraction effects limit our ability to image objects of
very small size. Interference effects can be used to make incredibly precise measurements of distance, an application
used for very precise scientific experiments and for fabrication of devices with very tight tolerances. Interference can be
used to measure the spacing between energy levels in atoms (as you will see in the lab on Emission Spectra). An
understanding of interference will also help you appreciate the colorful reflections of a compact disk or a soap bubble.
Furthermore, an understanding of interference is critical for understanding many of the implications of quantum
mechanics.
In this lab, you will become familiar with the concepts of diffraction and interference, and use these ideas to
demonstrate that light acts as a wave. You will use a laser, which is a source of light of one particular frequency (and
wavelength), and several diffraction gratings, which are simply slits in some material (in this case, a metal foil) which
light could pass through.
There are several goals of this lab: in particular, after finishing this lab, you should (a) gain some practical
experience with lasers and diffraction gratings; (b) get some exposure to the idea of diffraction and interference; (c)
understand how diffraction effects limit our ability to see small objects; and (d) be able to quantify the relationship
between the diffraction size and the effect on light.
2. Diffraction
When a wave passes through a small opening (a "slit"), it spreads out. This effect -- referred to as diffraction --
is apparent for sound waves (you can hear someone talking to you from the next room, even if you are not in a direct
line-of-sight). Diffraction is not as noticeable for light passing through an opening, due to the much smaller wavelength
for visible light (red light has a wavelength of 6 x 10
m, as opposed to 1 m for typical sound waves). Here, you will be
able to observe the diffraction of light by passing it through a slit that is on the order of the wavelength of light.
Procedure
Warning: Be careful not to look directly into the laser or to look directly into the reflections of the beams
off the metal foils.
(a) Set up a laser at the end of the lab table pointing toward the wall. Place the white screen close to the wall.
Look for "Slide 1" which contains four slits. Carefully place the slide in the holder so it is tilted downwards on the
side of the laser. This will direct all reflections towards the floor instead of your eyes. Position the slide in front of the
laser beam such that the beam falls squarely on the 0.08 mm wide slit (the second widest slit). With the room lights off,
observe the light falling on the screen (the "diffraction pattern"). If the slit formed a sharp shadow, you would expect to
see a thin rectangular spot of light on the wall with clearly defined left and right edges. You won't. Describe what it is
that you do see and draw a sketch.
Sketch :
Description:
(b) You should observe several spots on the screen. The central maximum is the brightest of these spots. Use a
ruler to determine the width Dx c
of this spot by measuring the distance between the centers of the 2 dark spots on either
side of the central spot.
(c) Repeat the measurement of Dx c
with the 0.16 mm, 0.04 mm and 0.02 mm slits. (You do not have to draw a
sketch of the patterns for these three cases.)
(d) Does the diffraction pattern become wider or narrower if the slit width is increased? That is, does the central
spot become wider or narrower? Are the other spots more spread out or more closely spaced (when the slit width is
increased)?
(e) Try to determine a relation between width w and Dx c
. Is the relation linear (Dx c
~ w ), quadratic (Dx c
~ w
inverse (Dx c
~ 1/ w ), or inverse-squared (Dx c
~ 1/ w
)? A good way to determine this relationship is to sketch a graph of
Dx c
vs. w.
Slit width w (mm) D xC (cm)
screen. Describe what you see and draw a sketch of your observations in your lab notebook. In particular, compare what
you see to the pattern observed in part I with a single w = 0.04 mm. What happens to the central maximum?
Sketch :
Description:
(b) As best you can, verify that the narrow stripes in the pattern are evenly spaced. Measure the distance Dx
between the small spots on the screen. The most accurate way to do this is to measure the total distance for as many
stripes as possible within the central cluster and divide by the total number of stripes. Considering our discussions of
experimental error, do you understand why this is more accurate than measuring the distance between two adjacent
stripes?
(c) Repeat with the double slits with w = 0.04 mm and d = .500 mm (make sure the beam covers both slits), and
with the 0.04 mm/0.125 mm slits on (on "Slide 3"). NOTE: this time, you are comparing the distance between spots Dx
vs. the slit separation distance d , not the slit width w.
(d) What is the relation between the slit separation d and the distance Dx between the spots? Is the relation linear,
quadratic, inverse, or inverse-squared? Again, a graph might be useful to determine the relationship.
4. Multiple-Slit Interference
Now, we will observe the interference that occurs when light passes through 3 or more slits. The discussion for
two-slit interference still applies here, in terms of constructive and destructive interference. We particularly want to
observe similarities and differences between two-slit and multiple slit interference.
Procedure
(a) On Slide 3, there are sets of slits (all with width 0.04 mm and separation 0.125 mm) with 3, 4 and 5 slits. Shine
the laser on the different slit combinations and observe the patterns of light on the screen. (Note: you will have to line
up the laser carefully. Also, the differences in the patterns are very subtle, so look hard.) Describe and sketch your
Slit separation d (mm) D x (cm)
observations below, commenting specifically on how the pattern and/or the separation between the spots change as more
slits are added.
Sketch/description for 3-slits
Sketch/description for 4-slits
Sketch/description for 5-slits
(b) Does the spacing between the main dots (Dx) change with changes in the number of slits?
(c) What would you expect the spot pattern to look like if there were many closely spaced slits (with the same width
and spacing)?
(d) Call over your instructor to discuss your discoveries and predictions.