1. [50 pts] Use the information below and your knowledge of the p-p chain to fill out the diagrams A,B and C below. To work out how four 1H+fuse into one 4He++you can use the below list of important fusion reactions in the sun and the approximate relative chance of each reaction occurring (the latter is the probability of the collision occurring times the probability of fusion happening in it): 1H++1H+2D++1H+2D++2D+3He+++1H+3He+++3He++2D++e++neutrino(1in10chance)3He+++photon(1in100chance)4He+++photon(1in1,000,000chance)4He+++e++neutrino(1in100,000chance)4He+++1H++1H+(1in2chance) Note: the total probability of and event is the number of ways the event can occur To get full points on this question fill in all the blank circles and lines for the three different pathways shown in A, B and C. Use the following Fusion Pathway rules: - Rule1: The number in a circle must equal the sum of the numbers going into it - Rule2: The positive charge coming out of a collision must equal the positive charge going into it. - Rule3: Only the five reactions listed above are important here 2. [10pts] For this question you need to have completed question one. Looking at the pathways you filled in: a. How many neutrinos are produced along with every 4He++nucleus in path A ? b. How many neutrinos are produced along with every 4He++nucleus in path B? c. How many neutrinos are produced along with every 4He++nucleus in path C ? 3. [20 pts] Which of the three pathways will be the most common one? 4. [20 pts] How many times more 4He++nuclei will the most common pathway produce than the others? Note: list two answers, i.e. it will produce X more in this case and Y more in the other