Thank you for your time and help! Please help me finish the table and please show work so I can understand! No rush! Thank you again! I also posted all the references I have.

Background A (transmission) diffraction grating is a thin film of clear glass or plastic that has a large number of closely spaced lines etched into it. A typical grating used for optical purposes has a density of many hundreds or even thousands of lines per millimeter. When light from a bright and small source passes through a diffraction grating, it acts like a multiple-slit interferometer, where each of the many illuminated slits acts like a separate source of light. When such a source, like a laser, shines through a diffraction grating, a very distinct multi-slit interference pattern of almost total destructive interference punctuated by bright dots of constructive interference is visible. The locations of these bright spots are determined by the density of lines in the grating and the wavelength of light incident on the grating through a formula that looks identical to the formula for the angular location of double-slit interference maxima. nkzdsinan n:l},1,2,... In this formula, 0' is the spacing between each slit and the adjacent slit, A is the wavelength of light, and n is the so-called \"order" of the interference peak. The 0*\" order, or n = O, bright spot is the passage of the light directly through the grating and is used to define the angular location of 0 degrees. Note that each order of interference occurs symmetrically on each side of the 0th order spot and, frequently, textbooks will indicate this through an alternate form of the interference maxima equation: nlzdsian n:,:1,2,... Where the negative orders occur are on one side of the central bright spot where angles are conventionally chosen to be negative, and the positive orders occur on the other side. The same ideas, math, and geometry used in this diffraction grating experiment are found in several advanced and powerful scientific techniques like X-ray crystallography. In this lab, you will locate and identify bright spots and use them to calculate the wavelength of a laser pointer. You will make the angle measurements by locating the interference maxima and measuring the geometry of the experimental setup to perform a trigonometric analysis of the experiment. You will measure the sides of the right triangle defined by the higher-order dots, the central dot, and the place where the laser passes through the grating. ACTIVITY 1 continued B Data Analysis 1. The location of each bright dot can be used to calculate its angular location by noting that the geometry of the beam is a right triangle with an equation below. Calculate the angular location of each dot. Record the results in Data Table 1. tan 6,, = xnr'l. or 6,, = arctanixnfiL) . The slit spacing, d, is not usually given on the diffraction grating itself. Diffraction gratings are typically characterized by line density, which is the reciprocal of d. Calculate the slit spacing, 0', then convert the units from mm to nm using the conversion below. Record the result in Data Table 1. 1nm=1xtD'5mm 3. Use the formula for the interference peaks below to calculate the laser's wavelength for each dot. A = (d sin Swim 4. Calculate the average of the individual calculated values for the laser wavelength to get Jim. Record the average in Data Table 1. 5. Estimate the uncertainty of your value of the wavelength, Aam, by calculating half the difference between the largest and smallest value of the wavelength using the equation below. Record the result in Data Table 1. avg : 15(Arnax _ Armin) Disposal and Cleanup Return the materials to the equipment kit, and clean the area. Activity 1 Data Table 1 d (nm) = L = 310 mm Order, n Location (mm) Angular location * (nm) (degrees) +2 250 mm +1 120 mm 0 0 0.0 -1 134 mm -2 278 mm Zavg Arava8. Label the order, n, of each dot on the screen. The central dot on the screen is "n = 0." Label the dots to the left of the central dot (from right to left) "n = -1," "n = -2," and so on. Label the dots to the right of the central dot (from left to right) "n = 1," "n = 2," and so on. Refer to Figure 2. 9. Starting from the center of the central dot, measure the distance between the central dot and the center of each of the other dots on the screen. Label these distances on the screen. Record these values as the location of each dot in Data Table 1