3) according to your study to the shell model, answe 1- Explain why the 3D-harmonic oscillator potential does not give the correct magic numbers? 2- Discuss how spin-orbit coupling helps to find the correct magic number? -Write the ground state configuration of protons and neutrons for "F, S and $Mn? - Find the total spin and the parity for "F, "S and Mn 5

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Q3. according to your study to the shell model, answer the following

4. Find the total spin and the parity for " prime F, ^ 33 S and 55 Mn

 

1)
1. What is the half-life of this
radioactive sample?
Aptray tw
2. What is the decay constant of this
isotope?
3. How many atoms were initially
present in this sample?
4. What will be the activity of this
sample after 10.0 minutes?
5. How long will it take for the activity of this sample to drop to 1.0 % of its initial value?
2)
A equal twice the number of nuclei of B. The lifetime of the two nuclides are t for A, and 3T
for B. Calculate the time (in units of T) at which the number of nuclei of A and B are equal.
Two radioactive nuclides, A and B, are presented at t=0 with the number of nuclei of
3)
according to your study to the shell model, answer the following
1- Explain why the 3D-harmonic oscillator potential does not give the correct magic numbers?
2- Discuss how spin-orbit coupling helps to find the correct magic number?
3- Write the ground state configuration of protons and neutrons for "F, S and 55Mn?
4- Find the total spin and the parity for "F, "S and Mn
23U/-3*U = 0.07. Assuming that these two isotopes existed in equal amounts at the time the
earth was formed; calculate the age of the earth. [note : life times: 25U 6.52 x 10 years,
235U
4)
)Natural Uranium, as found on earth, consists of two isotopes in the ratio of
1.02 x 10' years]
Transcribed Image Text:1) 1. What is the half-life of this radioactive sample? Aptray tw 2. What is the decay constant of this isotope? 3. How many atoms were initially present in this sample? 4. What will be the activity of this sample after 10.0 minutes? 5. How long will it take for the activity of this sample to drop to 1.0 % of its initial value? 2) A equal twice the number of nuclei of B. The lifetime of the two nuclides are t for A, and 3T for B. Calculate the time (in units of T) at which the number of nuclei of A and B are equal. Two radioactive nuclides, A and B, are presented at t=0 with the number of nuclei of 3) according to your study to the shell model, answer the following 1- Explain why the 3D-harmonic oscillator potential does not give the correct magic numbers? 2- Discuss how spin-orbit coupling helps to find the correct magic number? 3- Write the ground state configuration of protons and neutrons for "F, S and 55Mn? 4- Find the total spin and the parity for "F, "S and Mn 23U/-3*U = 0.07. Assuming that these two isotopes existed in equal amounts at the time the earth was formed; calculate the age of the earth. [note : life times: 25U 6.52 x 10 years, 235U 4) )Natural Uranium, as found on earth, consists of two isotopes in the ratio of 1.02 x 10' years]
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