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1) Consider one sample in which there 1.0 T are 105 W atoms each with a K shell

ID: 3281077 • Letter: 1

Question

1) Consider one sample in which there 1.0 T are 105 W atoms each with a K shell vacancy and another sample of 8x104 Mo atoms each with a K- shell vacancy. Estimate the amount of K-fluorescence photons that will be generated in each sample. (10 pts) K-shell 0.8 0.7 0.5 0.4 0.3 H 0.2 0.1 0.0 8 L-shell average) 0 20 40 60 80 100120 Atomic number 2) Fifty grams of gold (197Au) are subjected to a neutron flux of 1013 cm2 s1 in the core of a nuclear reactor. How much time is required for the activity to reach 3.7 x 101 GBq? What is the maximum activity for the sample. What is the sample activity after 20 minutes? The cross section of 197 Au for activation is 99 barns. (20 pts)

Explanation / Answer

Atomic number of Mo is 42

Atomic number of W is 74

Hence, according to given graph,

Fulorescene yeild of Mo is approximately 0.75

And fluorescence yeold of W is approximately 0.95

As there are 8 x 104 atoms of Mo in the sample with K shell vacancy

Hence, number of photons emiited with 0.75 fluorescence yeild willl be

NMo = 0.75 x 8 x 104 = 6 x 104

As there are 105 W atoms in the sample with K shell vacancy,

Hence, number of photons emitted with 0.95 fluorescence yeild will be

NW = 0.95 x 105 = 9.5 x 104

Now total number of K fluorescence photons will be

N = NMo + NW = 6 x 104 + 9.5 x 104 = 15.5 x 104

Hence, amount of k fluorescence photons will be

N = 1.55 x 105