Loyola College B.Sc. Physics April 2003 Mathematics For Physics Question Paper PDF Download

LOYOLA COLLEGE (Autonomous), chennai – 600 034

B.Sc.  degree examination – physics

third semester -april 2003

 Mt  3100/ MAT 100 mathematics for physics

28.04.2003                                                                                     Max.: 100 Marks

9.00 – 12.00

 

PART A                                       (10 ´ 2 = 20 Marks)

  1. Define Laplace transform of f(t) and prove that L(eat) = .
  2. Find .
  3. Prove that the mean of the Poisson distribution Pr =, r = 0, 1, 2, 3 ….. is equal to m.
  4. Mention any two significance of the normal distribution.
  5. Find the .
  6. Find L (1+ t)2 .
  7. Find L-1.
  8. Write down the real part of sin .
  9. Prove that in the R.H. xy = c2, the subnormal varies as the cube of the ordinate.
  10. If y = log (ax +b), find y

 

PART B                                          (5 ´ 8 = 40 Marks)

Answer any FIVE questions.  Each question carries EIGHT marks

  1. (a) Find L-1

           

  • Find L .
  1. Find L  .
  2. Define orthoganal matrix and prove that the matrix is orthoganal.
  3. Verify cayley-Hamilton theorem and hence find the inverse of
  4. (i)  Prove that
  • Find the sum to infinity of series

 

 

 

 

 

  1. (i) Find q approximately to the nearest minute if cos q =

(ii)   Determine a, b, c such that     .

 

  1. If cos (x + iy) = cos q + i sinq,  Show that cos 2x + cosh 2y =2.

 

  1. What is the rank of .

 

PART C                                      (2 ´ 20 = 40 Marks)

Answer any TWO questions. Each question carries twenty marks.

 

  1. (a) If y = .

 

  • Find the angle of intersection of the cardioids r = a(1+cosq) and r = b(1-cosq).
  1. (a) Certain mass -produced articles of which 0.5 percent are defective, are packed

in  cartons each containing 130 article.  What Proportion of cartons are free

from defective articles, and what proportion contain 2 or more defectives

(given e-2.2 = 0.6065)

 

  • Of a large group of men 5 percent are under 60 inches in height and 40 percent are between 60 and 65 inches. Assuming a normal distribution find the mean height and standard deviation.

 

  1. (a) Find the sum to infinity of the series

 

  • From a solid sphere, matter is scooped out so as to form a conical cup, with vertex of the cup on the surface of the sphere, Find when the volume of the cup is maximum.

 

  1. a) Prove that sin5q =
  2. b) Prove that sin4q cos2q =

 

 

 

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Loyola College B.Sc. Physics Nov 2003 Physics For Chemistry Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FOURTH SEMESTER – NOVEMBER 2003

PH 4201 / PHY 201 PHYSICS FOR CHEMISTRY

 

08.11.2003                                                                                                                                     100 Marks

1.00 – 4.00

 

SECTION – A

 

Answer ALL questions                                                                                          (2 x 10 = 20 marks)

 

  1. What is a polarimeter?
  2. What is diffraction?
  3. Give expressions for the combined capactiance of three capacitors connected in (I) series (ii) parallel.
  4. State Lenz’s law.
  5. Define half-life period of a radioactivity substance
  6. State Pauli’s exclusion principle.
  7. List any four characteristics of an operational amplifier.
  8. Sketch an half-adder.
  9. What is Crystal lattice?
  10. Define packing factor.

 

SECTION – B

 

Answer any FOUR questions                                                                    (7.5 x 4 = 30 marks)

 

  1. Discuss in detail polarisation by reflection.
  2. Derive an expression for the energy stored by a charged capacitor.
  3. Explain the binding energy of a nucleus and derive an expression for the same.
  4. With a need sketch derive an expression for the gain of an inverting amplifier using an operational amplifiers.
  5. Tabulate the main characteristics of the seven crystal systems.

 

SECTION – C

 

Answer any FOUR questions:                                                                 (12.5 x 4 = 50 marks)

 

  1. Explain how a plane transmission grating can be used to determine the wave length of a spectral line.
  2. Explain with necessary theory how a Carey-Foster bridge may be used to compare two nearly equal resistances.
  3. State Bohr’s postulates of hydrogen atom model. Obtain expressions for the radius and energy of the nth
  4. Realise operational amplifier as
  • adder (b) differentiator (c) integrator
  1. How are lattice parameter of a crystal found using Bragg’s x-ray spectrometer?

 

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Loyola College B.Sc. Physics Nov 2003 Materials Science Question Paper PDF Download

 

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – NOVEMBER 2003

PH 5402 / PHY 402 – MATERIALS SCIENCE

 

12.11.2003                                                                                           Max.   : 100 Marks

1.00 – 4.00

 

PART – A

 

Answer all the questions                                                                            (10 x 2 = 20 marks)

 

  1. How will you classify the engineering materials on the basis of the major areas of applications?
  2. Write a note on the structure-property relationships in materials.
  3. Discuss the steps involved in the formation of Burger’s circuit for dislocation.
  4. Determine the Miller indices of a plane that makes intercepts of 4x, y and 2z.
  5. Give the formula for measuring the Young’s modulus of composite materials.
  6. Explain the phenomenon of “work hardening” of engineering materials.
  7. What is the principle of the NDT method based on photoelastic phenomenon.
  8. How does the intrinsic break down of a dielectric material take place?
  9. Calculate the relative dielectric constant of a barium titanate crystal, which, when inserted in

a parallel plate condenser of area 8 mm X 8 mm and distance of separation of 1. 8 mm gives a capacitance of 0.05 mF

 

  1. List the advantages of scanning electron microscopie (SEM).

 

PART – B

 

Answer any FOUR questions                                                                              (4 x 7.5 = 30)

 

  1. Discuss, how the physical properties of materials are influenced by the variation in bonding character.
  2. What is meant by a symmetry operation? Explain the different types of symmetry elements of a crystalline solid.
  3. What are true stress and true strain? Using the tensile stress-strain curve for a ductile material, obtain the power relationship connecting s and e.
  4. Explain (I) electrical resistance (ii) tribolectric effect and (iii) thermoelectric effect techniques adopted for NDT.
  5. Give the theory of ferroelectrics as applied to Barium Titanate. Mention the applications of ferroelectric materials.

 

 

-2-

PART – C

 

Answer any FOUR questions                                                                           (4 x 12.5 = 50)

 

  1. What is meant by polarization?

Discuss the various polarization processes with necessary diagrams and hence obtain the expression for the total polarization of a material.

 

  1. Draw a schematic diagram of an Electron Microscope and explain its working.

 

  1. a) Discuss the essential characteristics of covalent bonding with relevant examples.

(5 marks)

  1. Explain the necessary steps involved in the formation of ionic bond and obtain the expression for the potential energy of the system of bond forming atoms.       (7.5 marks)

 

  1. a) State and explain Bragg’s low of x-ray diffraction                                      (5 marks)

 

  1. Describe with a neat sketch, the powder XRD method of determining crystal structure.

 

  1. Discuss the atomic model of elastic behavior with necessary figure and derive the relations connecting y,

 

 

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Loyola College B.Sc. Physics Nov 2003 Geo Physics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

V SEMESTER – NOVEMBER 2003

PH 5400 / PHY 400 – GEO PHYSICS

 

07. 11. 03                                                                                                 Max.  : 100 Marks

1.00 – 4.00.

 

PART–A

 

Answer All questions                                                                               (10 x 2 = 20 marks)

 

  1. What is a P – wave? What is it’s velocity?
  2. State the generalised form of Snell’s law, with a ray diagram.
  3. Distinguish between surface waves and body waves with respect to their intensity variation with distances

 

  1. What are the quantities that can be measured using a Seismometer?
  2. Bring out the difference between focus and epicentre of an earth-
  3. Write down the Laplace’s and the Poisson’s equation obeyed by the gravitational potential.

 

  1. What is the cause of the main (magnetic) field of the earth according to the dynamo theory?

 

  1. Explain briefly, the Gauss method of determining the earth’s magnetic field
  2. Give the decay schemes of the radio nuclide K40.
  3. List the two possible sources of heat within the Earth.

 

PART–B

 

Answer any FOUR questions                                                               (4 x 7 ½ = 30 marks)

 

  1. Calculate the bulk modulus and the shear modulus of a material having the following properties.

Density  =  4000 kg / m3;  dilatational  velocity (a) = 10 km / s and        shear velocity (b) = 6 km / s.

 

  1. Outline the principle and the construction of the strain seismograph with a simple
  2. a) State the relation between the energy released and the magnitude of an earth-quake
  3. b) Compare the energies released in earth quakes of magnitudes M = 6 and M = 2.

-2-

 

  1. Explain the dynamo theory of earth’s magnetism with the help of the Faraday disc generator.

 

  1. Obtain an expression for the variation of temperature with depth below the surface of the earth.
PART–C

 

 

Answer any FOUR questions                                                             (4 x 12 ½ = 50 marks)

 

  1. a) Find an expression for the time of travel of a seismic wave due to refraction in the

outer layers of earth                                                                                   (6 ½ mark)

 

  1. b) Derive an expression for the gradient of density in terms of velocities of body

waves                                                                                                             (6 mark)

 

  1. Discuss the theory of a horizontal seismograph with a neat diagram and explain all

possible cases.

  1. Explain the working of (I) Hammond and Faller method (of measuring gravity) and
  2. ii) Worden gravimeter, with neat diagrams                                  (6 + 6 ½)

 

  1. Explain the theory of (I) Saturation magnetometer and (ii) alkali vapor

magnetometer.                                                                                                   (5 + 7 ½)

  1. Give the theory of radioactive dating of rocks and minerals using (i) the decay

scheme of Rb87 and (ii) the decay scheme of K40 .

 

 

 

 

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Loyola College B.Sc. Physics Nov 2003 Atomic & Nuclear Physics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

V SEMESTER – NOVEMBER 2003

PH 5500 / PHY 507 — atomic & nuclear physics

 

03-11-2003                                                                                                                                             100 Marks

1.00 – 4.00

 

PART – A

Answer All questions                                                                         (10 x 2 = 20 marks)

 

  1. State and explain Pauli’s exclusion Principle.
  2. What is normal Zeeman effect?
  3. An x-ray machine Produces 0.1Å x – rays. What accelerating voltage does it employ?
  4. What is Auger effect?
  5. Determine the ratio of the radii of the nuclei 13Al27 and 52Te125
  6. State Geiger-Nuttall Law.
  7. Mention the properties of the nuclear force.
  8. Explain latitude effects in Cosmic rays.
  9. What are slow neutrons and fast neutrons?
  10. Distinguish between Fluorescence and Phosphorescence.

 

PART – B

 

Answer any FOUR only                                                                (4 x 7 ½  = 30 marks)

 

  1. Explain Frank and Hertz method of determining critical potentials.

 

  1. a) Explain the origin of characteristic x-rays.            (3 ½  mark)

 

  1. b) A ray of ultraviolet light of wavelength 3000 Å falling on the surface of a material

whose work function is 2.28 eV ejects an electron.

What will be the velocity of the emitted electron?                             (4 mark)

 

  1. a) Show that the energy equivalent of 1 a m u is 931 MeV           (2 mark)

 

  1. What is meant by binding energy of the nucleus. Find the binding energy and binding energy per nucleon of  of mass 30.973763 amu

MH = 1.007825 amu and MN = 1.008665 amu.                            (5 ½ mark)

 

  1. What are elementary particles? How are they classified on the basis of their masses and interactions?

 

  1. a) Distinguish between nuclear fission and fusion           (2 mark)

 

  1. b) Explain with a neat diagram, the Bohr’s theory of Compound nucleus.

(5 ½ mark)

 

-2-

 

PART – C

 

Answer any FOUR only                                                               (4 x 12 ½ = 50 marks)

 

 

 

  1. a) Describe Thomson’s parobola method to measure the specific charge of positive ions.                                                      (8 ½ marks)

 

  1. In a Bainbridge mass spectrograph, singly ionised atoms of Ne20 pass into the deflection chamber with a velocity of 105 m/s. If  they are deflected by a magnetic field of flux density 0.08T, calculate the radius of their path and where Ne22 ions would fall if they had the same initial velocity.            (4 mark)

 

  1. a) Explain compton scattering and derive an expression for the wavelength of the Scattered beam                                                                            (8 ½ mark)
  2. b) Estimate the value of compton wavelengths when the scattered angles are (i) and (ii)                                                                                                   (4 mark)

 

  1. Give the origin of b – ray line and continuous spectrum. Outline the theory of b – disintegration.

 

  1. Describe the ‘liquid drop model’ of the nucleus. How can the semi – empirical mass formula can be derived from it? Mention the uses of this model.

 

  1. a) Derive the four factor formula for a thermal nuclear reactor.            ( 8 ½ mark)

 

  1. b) Calculate the power output of a nuclear reactor which consumes 10 kg of U – 235 per day, given that the average energy released per fission is 200 MeV.

(4 mark)

 

 

 

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