Please help me complete the questions and tables.

https://www.walter-fendt.de/html5/phen/singleslit_en.htm

https://www.walter-fendt.de/html5/phen/doubleslit_en.htm

Single and Double Slit Diffraction and Interference Patterns In this lab, the student will investigate the diffraction of light on a single and double narrow slits. Part I: Hwy-action from a Single Slit Purpose The purpose of this experiment is to examine the diffraction pattern formed by laser light passing through a single slit and verify that the positions of the minima in the diffraction pattern match the positions predicted by theory. Theory When diffraction of light occurs as it passes through a slit, the angle to the minima in the diffraction pattern is given by asine =m7L (m=l,2,3,...) (1) where a is the slit width, 0 is the angle from the center of the pattern to the mth minimum, FL is the wavelength of the light, and m is the order (1 for the first minimum, 2 for the second minimum, counting from the center out). Figure 1.1 Single-Slit Diffraction Pattern Procedure Go to httgzwwwwaIter-fgndt.dg1htm|5ghengsingleslit en.htm. You will see the following. m lgm=l Hm 11.999. J:- M! - 1:1 m _E can _u m. urn Cam 0\"\" alum The dark grey box shows the actual experiment, with the laser beam coming into a slit, and then being diffracted onto a black screen. In the yellow region, the black screen has been attened out so that you can see the diffraction pattern as a function of scattering angle. Note that in the green box you can toggle back and forth between this View, and an intensity prole, as was shown in gure 1.1. Look at the intensity prole, then set it back to \"Diffraction pattern", so that you see yellow lines on a black surface (as on the left, in the gure below) Diffraction Pattern Intensity Prole Note: This applet uses the letter 'k' rather than 'm' for the order of the applet. This means it is using the equation asin =k2L (k=l,2,3,...) In the green box, you can control the wavelength of the light, and the slit width. In the drop down boxes, you can read out the angle of the maxima and minima for the different values of order (k in this applet). As we go through this experiment, we will vary the wavelength and slit spacing to see what the effect is on the position of the minima. Part 2: Interference from a Double Slit Purpose The purpose of this experiment is to examine the difaction and interference patterns formed by laser light passing through two slits and verify that the positions of the maxima in the interference pattern match the positions predicted by theory. Theory When light passes through two slits, the two light rays emerging from the slits travel different distances, and so they interfere with each other and produce interference fringes. Maxima in intensity will occur when the path lengths are different by an integer number of wavelengths, ml. The angle to the maxima (bright fringes) in the interference pattern is given by: dsin = ml (m =0, l,2,3,...) (2) where d is the slit separation, B is the angle from the center of the pattern to the mth maximum), 1 is the wavelength of the light, and m is the order (0 for the central maximum, 1 for the rst side maximum, 2 for the second side maximum, counting from the center out). See Figure 2.1. g Pa:::_--%u_ \"1.0.4 I I In-'l m [11.2 moo Figure 2.1 Interference Fringes Minima in intensity will occur when the path lengths are different by a half-integer number of wavelengths, (m+ 1/2)7L. The angle to the minima (dark fringes) in the interference pattern is given by: dsme = (m+ 1/: )i (m=0, 1,2,3..-) (3) where d is the slit separation, 6 is the angle from the center of the pattern to the mth maximum) 1 is the wavelength of the light, and m is the order (0 for the first side minimum, 1 for the second side minimum, counting from the center out). Procedure Go to htt : www.wa|ter-fendt.de htmIS hen doubleslit en.htm The controls for this applet are only slightly changed from that of the previous experiment. Now you control the spacing between the slits rather than the slit widths. The two white arrows show the locations of the rst order minima. 1. A v 0.0\" {II = 0) : _: on Slide the wavelength bar to the highest possible value. What happens to the diffraction pattern? Now slide the wavelength to the lowest possible value. What happens to the diffraction pattern? Based on this, what do you predict about the relationship between the wavelength of the light and angle between the maxima in the diffraction pattern? Is this what equation 2 would predict? Watch the experimental setup in the dark grey region of the screen. Are there more rays of light (diffraction maxima) visible for lower or for higher wavelengths? . Return the wavelength to 600 nm (you can type it in the box to get it correct). Now slide the slit spacing bar to change the value for d from small to large. What happens to the diffraction pattern? Based on this, what do you predict about the relationship between the slit spacing and angle between the maxima in the diffraction pattern? Is this what equation 2 would predict? Watch the experimental setup in the dark grey region of the screen. Are there more rays of light (diffraction maxima) visible for lower or for higher slit widths? . Slide the various control bars around and look at the pattern. You should notice that there is always a maximum at 0, the k=0 maximum. For this step, we are going to be monitoring the position of the k=1 maximum. This means that you will need to pull the 5 drop down box beside \"Maxima\1. Slide the wavelength bar to the highest possible value. What happens to the diffraction pattern? Now slide the wavelength to the lowest possible value. What happens to the diffraction pattern? Based on this, what do you predict about the relationship between the wavelength of the light and angle between the minima in the diffraction pattern? Is this what equation 1 would predict? Watch the experimental setup in the dark grey region of the screen. Are there more rays of light (diffraction maxima) visible for lower or for higher wavelengths? 2. Return the wavelength to 600 nm (you can type it in the box to get it correct). Now slide the slit width bar to change the value for a from small to large. What happens to the diffraction pattern? Based on this, what do you predict about the relationship between the slit width and angle between the minima in the diffraction pattern? Is this what equation 1 would predict? Watch the experimental setup in the dark grey region of the screen. Are there more rays of light (diffraction maxima) visible for IOWer or for higher slit widths? 3. Now you will need to set your wavelength and slit width to the values shown in Table 1 below, and record the position of the rst minimum (Bexp), which is shown in the \"Minima\" drop down dox in the green region of the screen. (Notice that if you pull on this drop down box, you can also see the locations of higher order minima). Use equation 1 to calculate the theoretical position of the minimum (erhmry). Do they agree? Table 1: Experimental Observations for Single Slit Diffraction Trial # Wavelength Slit Width 9\"], Bum? % nm difference 1 380 2 380 3 380 4 760 5 760 6 760 4. In trials 1-3 and 4-6, the slit width has been altered with the wavelength constant. What has happened to the angle between the minima as the slit width increased? Does this agree with your results in step 2? 5. Now compare the results for trials 1 and 4 in Table 1. These trials have the same slit width, but the wavelength in trial 4is twice that in trial 1. The same relationship is true for trials 2&5, and 3&6. What do you notice about the effect of doubling the wavelength on the separation of the minima