Lab 8[5815]

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University of Illinois, Chicago *

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132

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Physics

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Dec 6, 2023

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T T i S RO I -’ R R I I TR UIC Physics Department Physics 132 Pre-Laboratory Assignme v AU \ '\/\l noow (2py "-\ y e.‘, NAME LAB SECTION (Day & Time) DATE Physics 132-Lab# % Title 0iwcomatnteol Opf Pre - laboratory Assignment 7l Carefully read the lab manual , 1. Describe in your own words the overall goals of the lab. - T8 ovenoll qoaly &\ Ry \aly Uy o wdorslond cohwedk S & oeometrical apes % . A0 laoown how Taw wonls ] oS | WA Vow s R SowCe owi: t AU A oW 9 . O Q %) ) A\ B dfneckiony . 2. Identify the physics concepts that you will learn about or test in the lab. e \d,r,,.! £\O ,»‘w‘ \eonvi on Yok v co\ oY o\t T o R S \ 1\ N —\ » , 0% 7 v, T c o o\ 2SN o \ C - > \ ( Page 1 of 2 t
UIC Physics Department Physics 132 Pre-Laboratory Assignment 3. Describe briefly what you will measure in the lab and make your prediction of the most important outcomes of the experiment. Page 2 of 2 TR R Tt b Tttt el R R L IR AT 2R L R T L T L i L e ——————————
Geometrical Optics (Experimental Procedure and Data Analysis) This part of the lab must be completed entirely independently of your lab partner(s) or other students. Make sure that you avoid unauthorized collaboration and plagiarism. All suspected violations of the Standards of Conduct will be referred to Student Judicial Affairs. Lab Section (Day & Time): Tuendau 12y o o Name: WUV ICANA Station #: 4 Part 1. Color Addition In the first part of the lab we will discover the results of mixing red, green and blue light in different combinations with the tools shown in Figure 6. Figure 3 1. Plug the light source adapter into an electrical outlet and turn the wheel on the light source to select the red, green, and blue color bars. 2. Place the convex lens at center of the optics ray table, so it converges the rays and causes them to cross. You should see on the screen the image of three distinct colors, similar to the one shown in Figure 3. 3. Now, gently move the screen to/from the lens until (R} the three colors converge into one narrow vertical line on the screen. Question 1: What color appears on the screen at this crossing point? 4. Now block the red ray with a pencil. Question 2: What color results from adding green and blue light? 5. Now block the green ray with a pencil. Question 3: What color results from adding red and blue light? NA 6. Now block the blue ray with a pencil. Question 4: What color results from adding red and green light?
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Part 2. Law of Reflection and Snell’s Law Figure 4 In the second part of the lab we verify the Law of Reflection and // \\\\ Snell's Law (or the Law of Refraction) with the optics accessories . 4 N shown in Figure 4. / \ To begin, 7. Set the semi-circular acrylic block on the Ray Table as shown in Figure 4(top). 8. Rotate the knob on the front of the Versatile Light Source until one light ray emerges and arrange it so it perpendicularly crosses the at |5 o side of the center of the acrylic block. You can arrange it to align with ff (f the “Normal” arrow on the Ray Table (see Figure 4(bottom). Z 9. Now rotate the Ray Table such that the ray still crosses the AT e e G center of the lens, but is no longer orthogonal, as in Figure 5. pir You should see transmitted and reflected rays. Figure 5 10. Use the angle markings on the Ray Table to measure and record 6, in Table 1 and 6, in Table 2 along with that of the incident ray, 6; between 10° and 80°. 11. Estimate a reasonable uncertainty for these angles, considering the technique used to construct and measure them and record its n values in Table 1. Table 1 1 [ 6, | Uncertainty 6, TUncertainty reflected neorne | (indegrees) | for#; (in degrees) | for 6, light ray lightray Fa \ | 10 | 3.9 {0 0.9 | | 20 | 0.* 20 0.* s, o R} 0 | Y~ S a 30 D.5 2( 0.5 12. In LibreOffice Calc, plot 6, vs. 6; graph. 7 40 = A ~ | Then use LINEST() to find the slope, y- { Wt %l 05 i 1 05 intercept and its standard deviations and 50 b record its values below. e i 9, L 60 ] | Slope, —e—: =21 FE0) | 70 | [ 80 Intercept=_ O + O Question 5: Are the incident angles, 8;, and reflected angles, 6,,, equal within stated uncertainty? ' )w’l\
Physics 132 Question 6: What do you think is the main source(s) of error in performing this experiment? ( \ e 6\ l Table 2. L -5 Rroonwent R\ [ 0, : 0; 3 \ si . sin @ ko' st O outela | (indegrees) | "% | (indegrees) | "% Ok ! VIAN\K | o S Q 10 0.\1 1 | o\ | ) I 5 | ) | | 20 ,O,":L\ 9 | 05:2")’,_ - 13. Find sin6; and sin6, for the 6; and 6, | e 0.5 2 Lt S values listed in Table 2. In LibreOffice Calc, 40 | 0.64 29 0.42 | plot the sin; vs. sinf, graph and then use § T [ I LINEST() to find the slope, y-intercept and its 50,474 61 | 20 | 05 | standard deviations and record its values 60 01 35 0.51 | below. 1 70 0 an 22 | 0.6 ! n sing; _ n 9 ) I | Slope, St = \ o\ + 0026 80 0.4% “\ 0.6b | Intercept=_ - 0.0007 + 0.0\% Question 7: Does your measured index of refraction for acrylic agree with its accepted value, 77 = 1.49, within experimental error? [ Joe QOAUIEAN Ac '.’.f\r\w\'}_fw,\ {!CT\ (3'”'"\"\1 oonge ooty e Dr’f‘\‘*i"\ B ) . o \ \ \ » WE V) oY pUreol @VOT Part 3. Total Internal Reflection and Critical Angle Figure 6 refracted hght ray, In the previous part, we found 6; > 6, as the light passed from air to acrylic (Snell's Law guaranteed this because zr < mcrylic). Total internal reflection may only occur when light passes from a medium with a higher index of refraction to one with alower (7> n¢). In this experiment, we want to setup a scenario in which light passes from acrylic to air. Figure 6 shows a schematic for how we can accomplish this. 14. Begin with the ray of light from the Versatile Light Source orthogonally penetrating the curved portion of the D-shaped acrylic block along the "Normal” line that is transcribed on the Optics Ray Table. mcoming light ray You should see the ray of light emerge perpendicularly to the at surface of the acrylic along the opposite side's “Normal" tracing. 15. Next begin rotating the Ray Table. In doing so, you should notice the emerging ray of light from the acrylic’s at side begins to bend. Though the effect is initially subtle, eventually you should reach an angle Geometrical Optics Page 3 of 4
Gl tment Physics 132 | ra where the refracted light is now at 8, = 90°. This incident angle has reached the critical angle 6. - the point beyond which we have total internal reflection, and no refracted light escapes from the acrylic. 16. Measure the angle 6, at which the total internal reflection occurs. Repeat measurement several times by rotating the prism either clockwise or counterclockwise and record the results in Table 3. Table 3 17. Use LibreOffice Calc to estimate the average values of the 6., Mcyic and its M| S ~ c i | uncertainties, and record the results below. # | (in degrees) | Cy 7 ~ 2 1 ! 0, = AR, 72 + 0.7 Thaylic =LA + 0.01% 1 ay Question 8: Does the mcryic value agree with your findings in step 13 and with the | 2 | 4% accepted value within error? Briefly discuss the main sources of error in 3—T ug } measuring the index of refraction in this section. T volug aanee osta ouwn \indineys k) _i_._ AW . \ & » 5 5 o Sowteeh 4 enon T vaeanwning the e L e i 3 . nenacion e\ ,}3 \?,‘M\ \o staot\ o\ ex ak o, 5 ) [+ Q Part 4. Convex and Concave Lenses In this part we will explore the difference between convex and concave lenses. When parallel light rays pass through a thin lens, they emerge either converging or diverging. The point where the converging rays (or their extensions) cross is the focal point of the lens. The focal length, f, of the lens is the distance from the center of the lens to the focal point, F (see Figure 2). If the rays diverge, the focal lens is negative. 18. Place the lapboard on top of the optics ray table and cover it with a white sheet of paper. Plug in the power cable and turn the wheel to select three parallel rays. 19. Place the flat edge of the convex lens on the white paper so that it stands stably and shine the rays straight into the lens. Question 9: Are the outgoing rays converging, diverging or parallel? Estimate the focal length of the lens. \V! 9] 2314 ff«-,’"‘jfi'h\n_ 7 8] Focallenatia = \W.5 v 9 20. Replace the convex lens with concave lens and shine the rays straight into the lens. Question 10: Are the outgoing rays converging, diverging or parallel? Estimate the focal length of the lens. Is it positive or negative? ) nows ong. Avenaing . T locol \emat § R \eve & &FH e \ Y ) (8] J J AN} ‘) Geometrical Optics Page 4 of 4
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