BAEN/625Fall/2010RGMHomework # 3Biological and Agricultural EngineeringTexas A&M UniversityDue date: February 15, 20101) Finding the hotspot and the beam calibration number with the information provide by Table 1 below(a) Plot the kGy/Average Counts in cartesian coordinates(b) Average the 5 points (including the hotspot) and supply the "Beam Calibration Number" (kGy/Counts)(c) What is your hotspot coordinate? Justify it!Table 1: Experimental data to determine the hotspots and bean calibration numberPoint/Repetition TIC ICCoordinates X Y CountsExposure [kR] Dose[Gy]kGy/counts AveragekGy/CountsA1 -1 -2 21660 5.05 ? ?A2 -1 -2 21720 5.08 ? ? ?A3 -1 -2 21675 5.12 ? ?B1 -1 -3 23626 5.08B2 -1 -3 23757 5.09B3 -1 -3 23746 5.07C1 -1 -1 23510 5.1C2 -1 -1 23440 5.11C3 -1 -1 23256 5.08D1 0 -2 25151 5.12D2 0 -2 24915 5.05D3 0 -2 24889 5.05E1 -2 -2 20724 5.06E2 -2 -2 20531 5.06E3 -2 -2 20600 5.05F1 -3 -2 21307 5.03F2 -3 -2 21660 5.07F3 -3 -2 21821 5.11G1 -2 -1 22289 5.13G2 -2 -1 22034 5.09G3 -2 -1 21108 5H1 -2 -3 21583 5.09H2 -2 -3 21606 5.08BAEN/625Fall/2010RGMH3 -2 -3 21537 5.062) Finding the calibration constants for the Radiochromic Films (RF) from the data provided in Table 2 below. A set of RF were irradiated at the exact hotspot previously found (#1 question). The Transmission counts and the optical density of each and every RF (pre and post irradiated) were recorded.(a) Plot the Dose (kGy) and the specific abosorbance (k) for every individual radiochromic film and find its calibration constants. Check the ppt slides!(b) Once you have found the calibration constants, find the Actual Dose (kGy) absorbed by each RF based on its OD readings.Table 2: Experimental data to determine the RF constants.Sample # Transmissioncounts Dose[kGy]Initial OD(Ao)Final OD (Af) k [OD/mm]Actual Dose[kGy]3_A_11452159 ?0.0897 0.397? ?3_A_21452159 ?0.0897 0.399? ?3_B_11452425 ?0.0897 0.366? ?3_B_21452425 ?0.0897 0.379? ?3_C_11452992 ?0.0897 0.374? ?3_C_21452992 ?0.0897 0.393? ?2_A_19688790.0897 0.2812_A_29688790.0897 0.2922_B_19683610.0897 0.2942_B_29683610.0897 0.2852_C_19686070.0897 0.2932_C_29686070.0897 0.2811_A_14838160.0897 0.1861_A_24838160.0897 0.1821_B_14839230.0897 0.1871_B_24839230.0897 0.1941_C_14838500.0897 0.1941_C_24838500.0897 0.191BAEN/625Fall/2010RGM3) Assessing the absorbed dose of spinach bags through RF readings.Bags of spinach (2 x 2 inches) were placed in front of the e-beam at the hotspot area. Behind the bags (opposite side of the beam entrance), RF were placed to verify the dose absorbed by the spinach leaves. Look at the schematic below! Transmission counts and OD readings were recorded after the irradiation test. Two levels of target dose were considered (0.4 kGy and 1.0 kGy). (a) What were the doses applied according to the transmission counts and according to the RF readings?(b) Are there any significant discrepancies between the TIC and the RF readings as far as the target dose is concerned? Justify your answer using your knowledge of Radiation Theory!OD readings OD readingsBagsCounts Ao Af Ao Af1-a 482669 0.087 0.199 0.087 0.2011-b 482670 0.087 0.2 0.087 0.2021-c 482666 0.087 0.209 0.087 0.2062-a 193068 0.087 0.129 0.087 0.1362-b 193075 0.087 0.138 0.087 0.1422-c 193076 0.087 0.146 0.087 0.141BAEN/625Fall/2010RGMFigure 1: Schematic of the experimental setup to irradiate a bag of baby leaves spinach using a 1.35 MeV van de Graaff