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TU2 Q2 For a beam of 1 MeV electron moving through water, calculate the Rcspa and show that it is 0.4367 g cm2 or 0.4367 cm (in water). Hint: use table in slide 91 and the simple trapezoidal method for integration. State any approximation made.

TABLE M.2g Electrons in Water (Liquid) (ZA) 0.55509; p 1.000 g cm; t 75.0 eV, Composition (2-fw): 1-0.111898; 8-0.888102 Kinetic Energy Stopping Power (MeV cmʻg) CSDA Range (MeV) Collision Radiative Total (g cm2 0.010 2.256X 10 3.898 x 10) 2.256X10 2.515X10 0.015 1.647X10 3.944 x 10 1.647X10 5.147X10 0.020 1317x 10 3.963 X 10 1.318X10 8.566 X 10 0.030 9.653 3.984 X10-3 9.657 1.756X 10- 0.040 7.777 4.005 X 10 7.781 2.919X 10- 0.050 6.603 4.031 X 10-3 6.607 4.320 X 10-3 0,060 5.797 4.062 x 10 5.801 5.940X 10 0.070 5.207 4.098 X 10-3 5.211 7.762 X 10-3 0.080 4.757 4.138 x 10 4.761 9.773 X 10- 0.090 4.402 4.181 X10 4.407 1.196x 10-2 0.100 4.115 4.228 x 10-3 4.119 1.431 X 10-2 0.150 3.238 4.494 x 10-3 3.242 2.817X 10-2 0.200 2.793 4.801 X10 2.798 4488 X 10-2 0.300 2.355 5.514 x 10-3 2.360 0.400 8.421 X 10-2 2.148 6.339 X 10- 2.154 1.288X 10-1 0.500 2.034 7.257 X 10-3 2.041 1.766X 10-1 0.600 1.963 8.254 x 10-> 1.972 2.265 x 10-1 0.700 1.917 9.313 X 10-3 1.926 2.778X 10- 0.800 1.886 1.042 x 10-2 1.896 3.302 X 10-1 0.900 1.864 1.159 X 10-2 1.876 3.832 X 10-1 1.000 1.849 1.280 X 10-2 1.862 4.367X10-1 1.500 1.822 1.942 x 10-2 1.841 7.075 X 10-1 2.000 1.824 2.678 X 10-2 1.850 9.785x 10-1 Radiation Yield 9.408x10-5 1.316X10-4 1.663X10-4 2.301X10-4 2.886X10-4 3.435x10-4 3.955X10-4 4.453x10-4 4.931X10-4 5.393x10-4 5.842X10-4 7.926X10-4 9.826X10 1.331 X10-3 1.658X10- 1.976X10- 2.292x10- 2.608X10- 2.928X10-> 3.251X10- 3.579X10-3 5.281X10-) 7.085X10 Density-Effect Parameter 6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.938 X 10- 7.435 x 10-2 1.267 X10-1 1.835 x 10-1 2.428 X 10-1 5.437 X 10-1 8.218 X 10-1