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2. (a) In describing nuclear model, choice the of potential is important. Infinite well and harmonic...
Could someone help me with question 2a) and also help with b), I can do 2b)...
Could someone help me with question 2a) and also help with b), I
can do 2b) but I am wondering when do I use Ap = 0 or +/-11.2. Many
thanks in advance.
Q.2 Answer all parts. (a) Explain the origin and mathematical form of each term in the Weizslicker semi-empirical mass formula for the binding energy, B, of a nucleus, Le. Z(Z-1) (A-2Z B- +a, A - a A where A is the atomic mass number of the nucleus...
alpha decay tne menes valy widuery, Wnclcer the emitted alpha particles vary little (3 marks) The following expression holds for the half-life of an alpha emitter: (b) where C and D are (approximatel...
alpha decay tne menes valy widuery, Wnclcer the emitted alpha particles vary little (3 marks) The following expression holds for the half-life of an alpha emitter: (b) where C and D are (approximately) constant and D4 if Ea is in units of MeV Use this formula to calcuiate the ratio of the half-lives of Ra (a 5.685 MeV) and Ra (Ea 7.453 MeV). Compare your result with the ratio of the experimentally observed half-lives for 3 Ra (r 3.66 days)...
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show ...
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show that the emergy spliting of nuclear shellsby spin orbit coupling is given by 〈 . s),=11%-u . sh-1-1/2 = 2 (21 + 1)2 j 1+1/2 where the symbols have their usual meaning. 4 marks) e) i the degenengy c seil mohe posible values of the total and orbital angular momentum quantum numbers (j and l) respectively. If the shell has even parity identify the...
2. Two noninteracting particles, each of mass m, are in the 1-D harmonic oscillator potential Describe...
2. Two noninteracting particles, each of mass m, are in the 1-D harmonic oscillator potential Describe their ground state and the next two excited states, that is, their corresponding (i) wave functions, (i) energy eigenvalues, and (ii) degeneracies if two particles are (a) distinguishable particles, (b) the identical bosons, and (c) the identical fermions. 3. Suppose one particle is in the ground state, and the other is in the first excited state for tw particles described in Prob. 2. Calculate...
tthe-independent Help: The operator expression dimensions is given by H 2m r ar2 [2] A particle of mass m is in a three-dimensional, spherically symmetric harmonic oscillator potential given by V...
tthe-independent Help: The operator expression dimensions is given by H 2m r ar2 [2] A particle of mass m is in a three-dimensional, spherically symmetric harmonic oscillator potential given by V(r)2r2. The particle is in the I-0 state. Noting that all eigenfunetions must be finite everywhere, find the ground-state radial wave-function R() and the ground-state energy. You do not have to nor oscillator is g (x) = C x exp(-8x2), where C and B are constants) harmonic malize the solution....
clear hand written please 2. The nuclear potential that binds protons and neutrons in the nucleus of an atom is often approximated by a square well. Imagine a proton confined in an infinite square...
clear hand written please
2. The nuclear potential that binds protons and neutrons in the nucleus of an atom is often approximated by a square well. Imagine a proton confined in an infinite square well of a length10nm. What is the wavelength of a photon emitted when this proton moves from the n-2 energy state to the n-1 energy state. In what region of the electromagnetic spectrum is this photon and does this make sense in terms of nuclear spectroscopy?...
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a,...
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a, the energies of the stationary states in a Morse potential are En (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 to 2 %). Use the software of your choice to generate this plot. (B)...
The one-dimensional infinite potential well can be generalized to three dimensions.
(25 marks) The one-dimensional infinite potential well can be generalized to three dimensions. The allowed energies for a particle of mass \(m\) in a cubic box of side \(L\) are given by$$ E_{n_{p} n_{r, n_{i}}}=\frac{\pi^{2} \hbar^{2}}{2 m L^{2}}\left(n_{x}^{2}+n_{y}^{2}+n_{z}^{2}\right) \quad\left(n_{x}=1,2, \ldots ; n_{y}=1,2, \ldots ; n_{z}=1,2, \ldots\right) $$(a) If we put four electrons inside the box, what is the ground-state energy of the system? Here the ground-state energy is defined to be the minimum energy of the system of electrons. You...
All of the following questions are in relation to the following journal article which is available...
All of the following questions are in relation to the following journal article which is available on Moodle: Parr CL, Magnus MC, Karlstad O, Holvik K, Lund-Blix NA, Jaugen M, et al. Vitamin A and D intake in pregnancy, infant supplementation and asthma development: the Norwegian Mother and Child Cohort. Am J Clin Nutr 2018:107:789-798 QUESTIONS: 1. State one hypothesis the author's proposed in the manuscript. 2. There is previous research that shows that adequate Vitamin A intake is required...
Could someone help me with question 2a) and also help with b), I
can do 2b) but I am wondering when do I use Ap = 0 or +/-11.2. Many
thanks in advance.
Q.2 Answer all parts. (a) Explain the origin and mathematical form of each term in the Weizslicker semi-empirical mass formula for the binding energy, B, of a nucleus, Le. Z(Z-1) (A-2Z B- +a, A - a A where A is the atomic mass number of the nucleus...
alpha decay tne menes valy widuery, Wnclcer the emitted alpha particles vary little (3 marks) The following expression holds for the half-life of an alpha emitter: (b) where C and D are (approximately) constant and D4 if Ea is in units of MeV Use this formula to calcuiate the ratio of the half-lives of Ra (a 5.685 MeV) and Ra (Ea 7.453 MeV). Compare your result with the ratio of the experimentally observed half-lives for 3 Ra (r 3.66 days)...
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show that the emergy spliting of nuclear shellsby spin orbit coupling is given by 〈 . s),=11%-u . sh-1-1/2 = 2 (21 + 1)2 j 1+1/2 where the symbols have their usual meaning. 4 marks) e) i the degenengy c seil mohe posible values of the total and orbital angular momentum quantum numbers (j and l) respectively. If the shell has even parity identify the...
2. Two noninteracting particles, each of mass m, are in the 1-D harmonic oscillator potential Describe their ground state and the next two excited states, that is, their corresponding (i) wave functions, (i) energy eigenvalues, and (ii) degeneracies if two particles are (a) distinguishable particles, (b) the identical bosons, and (c) the identical fermions. 3. Suppose one particle is in the ground state, and the other is in the first excited state for tw particles described in Prob. 2. Calculate...
tthe-independent Help: The operator expression dimensions is given by H 2m r ar2 [2] A particle of mass m is in a three-dimensional, spherically symmetric harmonic oscillator potential given by V(r)2r2. The particle is in the I-0 state. Noting that all eigenfunetions must be finite everywhere, find the ground-state radial wave-function R() and the ground-state energy. You do not have to nor oscillator is g (x) = C x exp(-8x2), where C and B are constants) harmonic malize the solution....
clear hand written please
2. The nuclear potential that binds protons and neutrons in the nucleus of an atom is often approximated by a square well. Imagine a proton confined in an infinite square well of a length10nm. What is the wavelength of a photon emitted when this proton moves from the n-2 energy state to the n-1 energy state. In what region of the electromagnetic spectrum is this photon and does this make sense in terms of nuclear spectroscopy?...
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a, the energies of the stationary states in a Morse potential are En (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 to 2 %). Use the software of your choice to generate this plot. (B)...
All of the following questions are in relation to the following journal article which is available on Moodle: Parr CL, Magnus MC, Karlstad O, Holvik K, Lund-Blix NA, Jaugen M, et al. Vitamin A and D intake in pregnancy, infant supplementation and asthma development: the Norwegian Mother and Child Cohort. Am J Clin Nutr 2018:107:789-798 QUESTIONS: 1. State one hypothesis the author's proposed in the manuscript. 2. There is previous research that shows that adequate Vitamin A intake is required...
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