Page 1 of 10 Q.1 (I) estimate the kinetic energy taken away be by the alpha :
218006.93 MeV
we can use the liquid drop formula to estimate the Q too :
there is a difference between Q that was foundus using liquid drop formula and using the mass difference formula and i think it's because in LDF i used the exact mass ! (II) we found
Yaser Gholami
and because of conservation of momentum , the mumenton of daughter nucluse must be equal to the
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Page 2 of 10
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Page 3 of 10 Q.2 (i) (mass = 56.936296u) and so the condition for
(mass = 56.935399u).
to occure is if
Q.2(II)
in electron capture a proton interact with an electron ( form the atom, the lower shell) to transfer to a neutron and as a result a neutrino is emitted from the nucleus , therefore the isotop transformation is : and the corrsponding energy to the electron capture to happen is ; or we can say if
.............................................................................................................................................................. Q.3 Part (a) Find the decay constant for
:
(1)
0.0001698890149 Yaser Gholami
(2) USDY
Page 4 of 10 Part (b) For Parent's decay we have :
Decay :
therefore This is a Linear first-order equation that can be sloved as follow:
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Page 5 of 10
****Also i just realized that the formula actually is given in the lect note , so anther way of answering this question would be :
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Page 6 of 10
2000
1500
1000
500
0 0
20000
40000
60000
80000
100000
t
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Page 7 of 10 .................................................................................... ......
Part (C) how much ( MBq) can be Milked from the generator after 4hrs
Part (D) Find the Maximum energy of the positron and estimate the rang travelled in water?
transition :
Range is about w 0.8 - 0.9 cm reading from the graph ( Lec.2.page) please see the graph in the next page.
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Page 8 of 10
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Q.4 Part.a
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Page 9 of 10 Part.b
Li
B
using the conseevation of energy:
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Page 10 of 10
Part.C the min energy is when
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