3rd.Nuclear.physics.ass

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Yaser Gholami USDY

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 and because of conservation of momentum , the mumenton of daughter nucluse must be equal to the

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Yaser Gholami USDY

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Yaser Gholami USDY

(1)(1)

(2)(2)

Q.2 (i)

(mass = 56.936296u) and (mass = 56.935399u).

so the condition for 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

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Q.3

Part (a) Find the decay constant for :

0.0001698890149

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Yaser Gholami USDY

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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Yaser Gholami USDY

****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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Yaser Gholami USDY

t0 20000 40000 60000 80000 100000

0

500

1000

1500

2000

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Yaser Gholami USDY

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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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Yaser Gholami USDY

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Q.4

Part.a

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Part.b

Li

B

using the conseevation of energy:

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Yaser Gholami USDY

Part.C

the min energy is when

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