SUNY Brockport Interference and Diffraction Lab Report I have attached a document of all the things that I need answered. The questions are within the docu

SUNY Brockport Interference and Diffraction Lab Report I have attached a document of all the things that I need answered. The questions are within the document. The links of the videos to certain questions are also within the document. There about 5 questions

Incase the file doesn’t upload below, I’ve copied and pasted the questions. But if the file does upload can you please write everything there the answers where it says you should write it, thank you! It should say Interference as the attached document.

Also there is an attached recitation that I also need done. About 2 questions only.

Interference and Diffraction

INTRODUCTION

This week, we’re investigating the wave nature of light. Specifically, the diffraction patterns of bright and dark fringes that are formed when light passes through small slits.

We’ll need the following equations. First, for the multi-slit case:

where is the order number with 0 at the center, is the wavelength, is the distance between the slits, is the distance between the central bright fringe and the bright fringe, and is the distance from the slit to the screen, and for the the single-slit case

where is width of the slit. Remember that for both of these, we’re making use of the small angle approximation: because the angle between each of the bright fringes we’re looking at and the central fringe is very small, . Additionally, with the single slit we want to know the width of the central bright fringe, which is wider than all the others. We can find that as

Also – don’t forget, there is a recitation due this week. Please submit it separately in Blackboard, to the appropriate assignment!

This week is the last lab! Thanks for hanging in there to the end of the semester.

PRE-LAB VIDEO

Check out the video that we posted on Blackboard for getting started with the concept of the wave nature of light, specifically interference and diffraction. It’ll define all the variables for you to get you ready for the week.

https://brockport.open.suny.edu/bbcswebdav/pid-147…

LAB VIDEO

Check out the video for this experiment. It’s important, and you probably won’t be able to do the lab without it! https://youtu.be/NOtiixRhi4I.

DATA ANALYSIS GUIDE

Having recorded pictures of our diffraction patterns, now we want to analyze those to extract and calculate the wavelength of the laser with the double slit. If you grab images.zip from Blackboard, you’ll see that the image filenames tell you what and are. You’ll need those, so make sure to record them. Note that the slit separation and width is very small, you probably couldn’t see them at all in the lab video!

It’s up to you how you want to measure . I made vertical lines in MS Paint! Just be consistent in your approach.

Question 1: Using the double slit image, measure and record to the right and the left side of the central fringe. Start with finding the offset, then the positions of the fringes.

Offset of the central fringe from zero = _____ cm

=

corrected =

=

corrected =

=

Hint for the correction: if the central fringe position is , the corrected value is . If and , the corrected value is 0.4 cm.

Question 2a: Measure for all of the other visible fringes. Record them in a spreadsheet with your data from question 1, as well as the values of and .

It will help if all of the values in your spreadsheet are converted to the same units.

Now that you’ve got everything into a spreadsheet, let’s figure out the wavelength of the laser! If we rearrange equation (1), we find that

which is a linear equation for as a function of . Make a plot of vs. in the usual format, with axes labels and units. Add a linear trendline and display the equation on the chart.

Question 2b: Copy and paste your plot here and add a one-to-two sentence caption.

Now we want to use this plot to figure out the wavelength of our laser!

Question 3a: From equation (4), what should the slope of your trendline be?

Question 3b: Based on your answer to 3a, use the slope of the trendline to calculate the wavelength. Compare this value to the manufacturer’s value of 650 nm.

Remember – when we compare two quantities we usually calculate the percent difference!

Now let’s move to the single-slit part of the experiment. Again, the slit width and distance from slit to screen are recorded in the filename!

Question 4: Using equation (3), calculate the theoretical width of the central bright fringe. Use a wavelength of 650 nm rather than your value from the double slit experiment.

Now, measure the width of the central bright fringe in the single slit image. The first-order fringes are close enough to the central fringe that they almost seem to run together, but where the laser light seems to narrow is where they transition.

Question 5: What is your measured width of the central bright fringe? Compare this with your calculated value from question 4.

Here’s a zoomed-out picture of that single slit pattern.

SUMMARY AND SUBMISSION GUIDELINES

That’s it! Hope it went well. Please submit your filled-in writeup to the Assignment in Blackboard. All labs are due Thursday, April 16 at noon. Interference and Diffraction
Spring 2020, Distance Lab 6
Interference and Diffraction
INTRODUCTION
This week, we’re investigating the wave nature of light. Specifically, the diffraction patterns of
bright and dark fringes that are formed when light passes through small slits.
We’ll need the following equations. First, for the multi-slit case:
=

,

(1)
where is the order number with 0 at the center, λ is the wavelength, is the distance between
the slits, is the distance between the central bright fringe and the th bright fringe, and is the
distance from the slit to the screen, and for the the single-slit case
=

,

(2)
where is width of the slit. Remember that for both of these, we’re making use of the small angle
approximation: because the angle θ between each of the bright fringes we’re looking at and the
central fringe is very small, sin θ ≈ tan θ ≈ / . Additionally, with the single slit we want
to know the width of the central bright fringe, which is wider than all the others. We can find that
as
width =
2λ
.

(3)
Also – don’t forget, there is a recitation due this week. Please submit it separately in Blackboard,
to the appropriate assignment!
This week is the last lab! Thanks for hanging in there to the end of the semester.
Interference and Diffraction
Spring 2020, Distance Lab 6
PRE-LAB VIDEO
Check out the video that we posted on Blackboard for getting started with the concept of the wave
nature of light, specifically interference and diffraction. It’ll define all the variables for you to get
you ready for the week.
LAB VIDEO
Check out the video for this experiment. It’s important, and you probably won’t be able to do the
lab without it! https://youtu.be/NOtiixRhi4I.
DATA ANALYSIS GUIDE
Having recorded pictures of our diffraction patterns, now we want to analyze those to extract
and calculate the wavelength of the laser with the double slit. If you grab images.zip from
Blackboard, you’ll see that the image filenames tell you what and are. You’ll need those, so
make sure to record them. Note that the slit separation and width is very small, you probably
couldn’t see them at all in the lab video!
It’s up to you how you want to measure . I made vertical lines in MS Paint! Just be consistent
in your approach.
QUESTION 1: USING THE DOUBLE SLIT IMAGE , MEASURE AND RECORD 1 TO THE RIGHT AND
THE LEFT SIDE OF THE CENTRAL FRINGE . S TART WITH FINDING THE OFFSET , THEN THE
POSITIONS OF THE = FRINGES .
Offset of the central fringe from zero = _____ cm
1,left =
1,right =
1,avg =
corrected 1,left =
corrected 1,right =
Hint for the correction: if the central fringe position is Δ , the corrected value is + Δ . If Δ =
−0.1 cm and = 0.5 cm, the corrected value is 0.4 cm.
QUESTION 2A: MEASURE FOR ALL OF THE OTHER VISIBLE FRINGES . RECORD THEM IN A
SPREADSHEET WITH YOUR DATA FROM QUESTION 1, AS WELL AS THE VALUES OF AND .
It will help if all of the values in your spreadsheet are converted to the same units.
Now that you’ve got everything into a spreadsheet, let’s figure out the wavelength of the laser! If
we rearrange equation (1), we find that
Interference and Diffraction
Spring 2020, Distance Lab 6
=

,

(4)
which is a linear equation for as a function of . Make a plot of vs. in the usual format,
with axes labels and units. Add a linear trendline and display the equation on the chart.
QUESTION 2B: COPY
CAPTION .
AND PASTE YOUR PLOT HERE AND ADD A ONE -TO-TWO SENTENCE
Now we want to use this plot to figure out the wavelength of our laser!
QUESTION 3A: FROM EQUATION (4), WHAT SHOULD THE SLOPE OF YOUR TRENDLINE BE ?
QUESTION 3B: BASED
ON YOUR ANSWER TO
CALCULATE THE WAVELENGTH .
OF
COMPARE
3A,
USE THE SLOPE OF THE TRENDLINE TO
THIS VALUE TO THE MANUFACTURER ’S VALUE
650 NM.
Remember – when we compare two quantities we usually calculate the percent difference!
Now let’s move to the single-slit part of the experiment. Again, the slit width and distance from
slit to screen are recorded in the filename!
QUESTION 4: USING EQUATION (3), CALCULATE THE THEORETICAL WIDTH OF THE CENTRAL
BRIGHT FRINGE . USE A WAVELENGTH OF 650 NM RATHER THAN YOUR VALUE FROM THE
DOUBLE SLIT EXPERIMENT .
Interference and Diffraction
Spring 2020, Distance Lab 6
Now, measure the width of the central bright fringe in the single slit image. The first-order
fringes are close enough to the central fringe that they almost seem to run together, but where
the laser light seems to narrow is where they transition.
QUESTION 5: WHAT IS YOUR MEASURED WIDTH OF THE CENTRAL
COMPARE THIS WITH YOUR CALCULATED VALUE FROM QUESTION 4.
BRIGHT FRINGE ?
Here’s a zoomed-out picture of that single slit pattern.
SUMMARY AND SUBMISSION GUIDELINES
That’s it! Hope it went well. Please submit your filled-in writeup to the Assignment in Blackboard.
All labs are due Thursday, April 16 at noon.
Central bright fringe m=0
m=1
m=1
5 4 3 2 1
2 3 4 5
n
C
2
O
1 2 3 4 5
le
Central bright fringe m=0
OQ00
5 4 3 2 1 0
1
2 3 4 5
n
C
5 4 3 2 1 0
1
2 3 4 5
n
C

Purchase answer to see full
attachment