Assign_1_solution_fall07

# Assign_1_solution_fall07 - PCS229 Assignment #1 Fall2007...

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PCS229 Assignment #1 Fall2007 1 [5] 1. Carbon (atomic mass = 14. 003 241 u) is converted into nitrogen (atomic mass = 14.003 074 u) via β - decay. (a) Write this process in symbolic from, giving Z and A for the parent and daughter nuclei and β - particle. (b) (b) Determine the energy (MeV) released. Solution: (a) The reaction looks like: + β 1 14 7 14 6 N C (b) The mass change during the reaction is Δ m = 14.003 241 u – 14.003 074 u = 0.000 167 u Since 1 u = 931.5 MeV, the energy released during the reaction is [10] 2. 74 As can decay to either 74 Ge or to 74 Se. In each case either the ground state or an excited state of the daughter nucleus can be produced. (a) Write down equations corresponding to decays shown on the diagram, indicating charge numbers of the nuclei involved. (b) What photon emissions are observed in the decay of 74 As and from what processes do they arise? Solution: ( a ) 1. Q e Ge As + + + + + ν 0 1 74 32 74 33 2. ) 1 ( 74 32 74 33 γ + + + + Q EC Ge As 3. ) 1 ( 0 1 74 32 74 33 + + + + + e Ge As 4. + + + 0 1 74 34 74 33 Se As e 5. ) 2 ( 0 1 74 34 74 33 + + + + Se As e (b) Two photons are observed.

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## This note was uploaded on 09/24/2011 for the course PCS 229 taught by Professor Pejovic-milic during the Fall '11 term at Ryerson.

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Assign_1_solution_fall07 - PCS229 Assignment #1 Fall2007...

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