Name of the University : Mahatma Gandhi University
Department : Physics – Material Science
Degree : M Sc Physics
Subject Code/Name : PH1MC3/Advanced Nuclear Physics
Paper : III
Sem : I
Website : mgu.ac.in
Document Type : Model Question Paper
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/mgu.ac.in/5204-CC%20PAPER%20III-%20PH1MC3-%20ADVANCED%20NUCLEARPHYSICS.pdf
MGU Advanced Nuclear Physics Question Paper
MSc Degree Examination :
I Semester :
Faculty of Sciences
Related : MGU PH1RC3 Electrodynamics & Non Linear Optics M.Sc Model Question Paper : www.pdfquestion.in/5221.html
Advanced Nuclear Physics
Physics – Material Science
PAPER III : PH1MC3-
Time : 3 Hours. Maximum Weight : 30
Part A : (Short answer questions-weight 1 each)
Answer any six questions :
1. What are quarks? Name the different flavours of quarks.
2. Distinguish between leptons and hadrons.
3. The binding energy per nucleon is low at low mass numbers and high mass numbers. Explain.
4. Explain the ground state of deuteron. Plot the wave function for the deuteron ground state taken as an S-state.
5. Express the Gell-mann-Nishijima formula.
6. What are isomeric transitions?
7. Explain Q value of nuclear reaction.
8. Give the selection rule for forbidden decays.
9. What are power reactors?
10. What are magic numbers?.What are singly and doubly magic nuclei. List magic numbers below 100.
(6×1=6wt)
Part B : (Short Essay/Problems-Weight 2 each)
Answer any 4 questions :
11. The ground state of 55Cs137 7/2+ decays with a half life 33 years,92% by emission to an excited state of 56Ba137(which in turn decays by emission with half life 2.6 minutes to the ground state Ba137)and 8%by emission directly the ground state.Following quantities were measured .
(K.E)max(92%)=0.51MeV (K.E) max(8%)=1.17MeV
What is the degree of forbiddenness of each transition?
12. How many and particles are emitted when 92U238decay to Lead (82 Pb206).
13. 7Li (Z=3) and 7 Be(Z=4) have the atomic masses 7.016005 and7.016929u. Which of then shows activity and of what type? Calculate Q for it.
14. Find the energy release of two 1H2 nuclei can fuse together to form 2He4 nucleus. The binding energy per nucleon of H2 and He4 is 1.1Mev and 7.0 respectively.
15. Show that nuclear density of 1H1 is about 1014 times greater than atomic density assume the atom have the radius of the first Bohr model.
16. A reactor is developing energy at the rate of 1500KW.How many atoms of U235 undergo fission per second? How many Kg of U235 would be used in 1000 hours of operation assuming that on an average energy of 200MeV is released per fission.
(4×2=8wt)
Part C : (Essay type questions- weight 4 each)
Answer all questions. :
17. a) Describe Fermi theory of decay. Calculate the energy release in decay process.
Or
b) Derive an expression for scattering and reaction cross sections.
18. a) Describe the types of nuclear fission reactors.
Or
b) Explain p-p scattering. Experimentally the study of p-p scattering is capable of much higher accuracy than n-p scattering. Why? What are the similarities of n-n and p-p forces?
19. a) What is the evidence for shell structure of the nucleus? Sketching the main assumptions,
explain the shell model of the nucleus.
Or
b) Give the main assumptions of liquid drop model of the nucleus. Obtain the expression for the binding energy of a nucleus based on liquid drop model. State the semi-empirical formula of Weizacker.
20. a) Describe quark model of elementary particles.
Or
b) Explain electric quadrapole moment for an ellipsoidal charge distribution. (4 x 4 =16 wt)
Mathematical Physics –I
Mahatma Gandhi University :
PG-CSS Model Question Paper 2012
Semester I :
Paper : PH1RC1
Time : 3 hrs
Total Weight : 30
Part A : (Short answer questions)
(Answer any six questions. Each question carries weight one.)
1. Explain the physical meaning of the direction and magnitude of the gradient of a scalar function.
2. Find div(rnr).
3. State and prove Green’s theorem.
4. State the conditions for the diogonizability of a matrix.
5. Discuss the properties of Pauli’s spin matrices.
6. Show that contraction of a tensor reduces its rank by 2.
7. Discuss Christoffel symbols with an example.
8. Define Gamma function.
9. Obtain the values of Pn(1)and Pn(-1).
10. Write two recurrence relations for the Bessel function. 6×1= 6 weight
Part B : (Problems)
(Answer any four questions. Each question carries weight two.)
11. Find the angle between the surfaces, x2+y2+z2 = 9 and x2+y2- z = 3, at the point (2, -1, 2)
12. Show that Trace [ABC] = Trace [CBA], if any two of the three matrices commute.
13. Derive the the value of Laplacian in curvilinear coordinate system in general and spherical polar coordinate system in particular.
14. Kij Ajk = Bik holds for all orientations of the coordinate system. If A and B are second rank tensors, show that K also is a second rank tensor.