Name of the University : Alagappa University
Degree : M.Sc
Department : Physics
Subject Code/Name : Mathematical Physics
Semester : I
Document Type : Model Question Papers
Website : alagappauniversity.ac.in
Download Model/Sample Question Paper : Nov 2010 : https://www.pdfquestion.in/uploads/alagappauniversity.ac.in/3951.-M.SC.PHYSICS%20CBCS.pdf
Mathematical Physics :
Time : 3 Hours
Maximum : 75 Marks
Part – A :
Related : Alagappa University Properties Of Matter And Acoustics B.Sc Model Question Papers : www.pdfquestion.in/3988.html
1. Define gradient of a Scalar field.
2. State Gauss theorem.
3. Define Linear dependence of vectors.
4. Find the inner product of the vectors (1, 2, 3) and
5. State Cayley-Hamilton’s theorem.
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6. List the methods to compute the inverse of a matrix.
7. Give the significance of Frobenius method.
8. State Cauchy’s Integral theorem.
9. Find the Residues of ( ) =( 1) ( –2)f z z z – z at its poles.
10. Define Fourier Cosine series.
11. (a) Find grad div F
12. (a) State and prove Gram – Schmidt orthogonalisation process. (Or)
(b) Show that the Eigen values of a Hermitian matrix are real and its eigen vectors corresponding to two distinct eigen values are orthogonal.
13. (a) Derive the necessary conditions for Cauchy’s Riemann differential equation. (Or)
(b) State and derive Laurent’s expansion.
14. (a) Derive the complex form of fourier series.
M.Sc. Degree Examination, November 2010 :
Classical Dynamics And Relativity :
(CBCS—2008 onwards)
Time : 3 Hours
Maximum : 75 Marks
Part – A (10 × 2 = 20)
Answer all the questions.
1. State Hamilton’s principle.
2. What is meant by constrained motion?
3. What are the two main features of the motion of a particle under the action of a central force?
4. State Kepler’s first law of Planetary Motion.
5. What is meant by Spin type of motion?
6. Define Wave Packet.
7. What is Canonical transformation?
8. Define Lagrange’s bracket.
9. What is Minkowski space?
10. What are the condi tions for the Lorentz transformation?
Part – B : (5 × 5 = 25)
Answer all the questions.
11. (a) Discuss about the holonomic and nonholonomic constraints. Or
(b) Deduce Lagrange’s equations of motion from Hamilton’s principle for a conservative system.
12. (a) Discuss about the differential scattering cross – section with necessary diagram. Or
(b) Deduce an expression for Virial theorem.
13. (a) What are normal modes of vibrations? Explain briefly. Or
(b) Discuss briefly about the Group velocity and Phase velocity in wave mechanics.
14. (a) Show that the Poisson brackets are invariable under Canonical transformation. Or
(b) Give the solution of harmonic oscillator problem by Action angle variable method.
15. (a) Discuss the law of addition of velocities in relativity. Or
(b) Explain briefly about the postulates of special theory of relativity.
Part – C : (3 × 10 = 30)
Attempt any three questions.
16. Deduce Lagrange’s equation of motion from D’—Alembert’s principle for both conservative and non-conservative systems.
17. Obtain an expression for Rutherford scattering cross-section.
18. What is meant by Euler angle? Derive the Euler’s equation of motion for a rigid body.
19. State and prove the principle of least action.
20. What are four vectors? Find the components of the momentum four vectors and derive the law of variation of mass with velocity.
M.Sc. Degree Examination, November 2010 :
Electronics :
(CBCS—2008 onwards)
Time : 3 Hours
Maximum : 75 Marks
Part – A (10 × 2 = 20)
Answer all questions.
1. Explain the Einstein’s relationship for a semiconductor.
2. Give some applications of the LED.
3. Mention the difference between SCR and Triac.
4. Draw the circuit symbol for depletion type MOSFET.
5. Define the term ‘Common-mode Rejection Ratio”.
6. Sketch the Gain versus Frequency curves for a Notch-filter.
7. What is meant by linearity error in case of a ADC?
8. Define resolution in A/D converter.
9. Explain Masking and Etching process.
10. Draw the functional block diagram of 8-pin IC555 timer.
Part – B : (5 × 5 = 25)
Answer all questions
11. (a) What is a PN Junction? Explain the formation of depletion layer in a PN Junction? Or
(b) Explain the working of a photodiode. Give its applications.
12. (a) Bring out a neat comparison between JFET and MOSFET. Or
(b) Explain the construction and working of a Diac.
13. Write a short note on :
(a) Inverting amplifier Or
(b) Band-pass filter
14. (a) Draw the circuit diagram and explain the Op-Amp based Wein bridge oscillator. Or
(b) Briefly discuss Dual scope ADC.
15. (a) Explain the basic process of IC Fabrication. Or
(b) Describe the steps involved in the fabrication of monolithic capacitors.