B.Sc Corporate Physics Question Paper 2009

Loyola College B.Sc. Physics April 2009 Thermodynamics Question Paper PDF Download

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         LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 12

THIRD SEMESTER – April 2009

PH 3503 – THERMODYNAMICS

 

 

 

Date & Time: 05/05/2009 / 1:00 – 4:00  Dept. No.                                                 Max. : 100 Marks

 

 

SECTION – A

Answer all the questions.                                                                    10 × 2 = 20 Marks

 

  1. What do you mean by transport phenomena?
  2. State the law of equipartition of energy in a gas.
  3. What is superfluidity?
  4. Distinguish between isothermal and adiabatic changes.
  5. State first law of thermodynamics.
  6. What do you mean by enthalpy?
  7. Define temperature of inversion. Mention its importance.
  8. State the relation between Gibbs and Helmholtz function.
  9. What is thermodynamic probability?
  10. Define phase space.

SECTION – B

Answer any four questions.                                                               4 × 7.5 = 30 Marks

 

  1. Sketch the Maxwell velocity distribution curve. Describe an experiment to verify Maxwell’s distribution law.
  2. (a) Derive Mayer’s relation.                                                         (5 marks)
    • Calculate the specific heat capacity of air at constant volume if

Cp=961.4Jkg-1 K-1  and density is 1.293kg/m3 at NTP.           (2.5 marks)

  1. Using first law of thermodynamics arrive at the equations for isothermal and adiabatic changes.
  2. (a) Establish Clausius latent heat equation.                                  (4 marks)
    • Calculate the change in entropy when 0.002 kg of water at 273 K is heated to 373 K.Given specific heat capacity of water = 4200Jkg-1 K-1 . (3.5 marks)
  3. Define solar constant. Describe an experiment to determine it. (2 + 5.5 marks)

 

SECTION-C

Answer any four questions.                                                               4×12.5 = 50 Marks

 

  1. Derive an expression for the thermal conductivity of a gas, Explain how the thermal conductivity varies with pressure and temperature.
  2. (a) Describe in detail the Clement and Desormes method of finding the ratio of specific heat capacities of air, giving the simple theory of the method.                      (8.5 marks)
  • Explain Linde’s method of liquefying air. (4 marks)
    1. (a) Discuss the concept of entropy. Find the change in entropy in both reversible and irreversible processes.                                                                    (8.5 marks)

(b)        Derive Clausius inequality relation.                                                    (4 marks)

  1. Derive the Maxwell’s thermodynamic relations.
  2. Establish Maxwell-Boltzman distribution law. Apply it to an ideal monoatomic gas to find the average energy of the molecule. (7.5 + 5 marks)

 

 

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Loyola College B.Sc. Physics April 2009 Solid State Physics Question Paper PDF Download

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         LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 24

SIXTH SEMESTER – April 2009

PH 6606 – SOLID STATE PHYSICS

 

 

 

Date & Time: 21/04/2009 / 9:00 – 12:00  Dept. No.                                                     Max. : 100 Marks

 

 

PART A

Answer all questions.  All questions carry equal marks.                           (10 x 2 = 20 marks)

 

  1. Define coordination number.
  2. The lattice constant of a Cubic lattice is a, Calculate spacing between (0, 1, 1) and

(1, 1, 2) planes.

  1. Write Laue equations.
  2. The Bragg’s angle for (2, 2, 0) reflection from Nickel(f c c) is 45˚. when X-rays of

wavelength 1.75Å are employed in a diffraction experiment,.  What is the lattice constant?

  1. Mention any two assumptions of classical theory of specific heat of solids.
  2. State Gruneisen’s law.
  3. What is Hall effect?
  4. What do you understand by density of states?
  5. Distinguish between type I and type II semiconductors.
  6. What is Meissner effect?

 

PART B

Answer any four questions.                                                                         (4 x 7.5 = 30 marks)

 

  1. What are Miller indices? How are they determined?
  2. Write note is on Neutron diffraction.
  3. Debye temperature of carbon(diamond)structure is 1850K. Calculate the molar specific heat

for diamond at 20K.  Also compute the highest lattice frequency involved in the Debye

theory.

  1. Calculate the number of energy states available for the electrons in a cubical box of side 1 cm

lying below an energy of 1 electron volt.

  1. Explain I-V characteristics of d.c Josephson effect.

 

PART C

Answer any four questions.                                                                         (4 x 12.5 = 50 marks)

  1. Classify the seven systems crystal on the basis of 14 bravais lattices. Explain with the help of

the unit cell lattice parameters and giving examples.

  1. With a neat diagram explain the powder method for determining the structure of a crystal.
  2. Work out an expression for the specific heat of solids following Einstein model. Mention its

draw backs.

  1. a) Derive an expression for the Fermi energy of a free electron gas in three dimensions. (8)
  2. b) Estimate the lattice specific heat of sodium (at constant volume) at 20K. The Fermi

temperature of sodium is 3.8 x 104 K and its Debye temperature is 150 K.                   (4.5)

(K = 1.38 x 10-23 J/K)

  1. Outline qualitatively the BCS theory of superconductivity.

 

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Loyola College B.Sc. Physics April 2009 Quantum Mechanics & Relativity Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 23

SIXTH SEMESTER – April 2009

PH 6605 – QUANTUM MECHANICS & RELATIVITY

 

 

 

Date & Time: 18/04/2009 / 9:00 – 12:00      Dept.                                                         : 100 Marks

 

 

SECTION – A

 

Answer all the questions.                                                                                            (10×2 = 20 Marks)

  1. State Heisenberg’s uncertainty principle. Give a mathematical form of the principle.
  2. What is Compton effect?
  3. Define probability current density.
  4. What is tunnel effect?
  5. Show that [ Lx, Ly ] = iħLz.
  6. Express the operator for angular momentum component Lx in spherical polar coordinates.
  7. What are inertial and non – inertial frames of references?
  8. At what speed is a particle moving if the mass is equal to three times its rest mass?
  9. What is Mach’s principle?
  10. State the postulates of General theory of relativity.

SECTION – B

Answer any four questions.                                                                                      (4×7.5 = 30 Marks)

  1. (a) What is the principle of an electron microscope?                                                       (2)

(b)        Describe the working of an electron microscope with a diagram.                        (4+1.5)

  1. Solve the Schrödinger equation for the linear harmonic oscillator and obtain its energy levels.                                                                                                                   (5.5+2)
  2. (a) What is a Hermitian operator?                                                                                 (2.5)
    • Show that the eigen values of Hermitian operators are real. (5)
  3. (a) Derive Einstein’s mass – energy relation.                                                                (5.5)
    • Explain mass – energy equivalence with two examples. (2)
  4. Discuss planetary motion on the basis of Einstein’s theory of gravitation and interpret the path of the planet about the sun.           (7.5)

 

 

SECTION-C

Answer any four questions.                                                                           (4×12.5 = 50 Marks)

  1. (a) What are matter waves? (2)

(b) Describe Davisson – Germer experiment to confirm the concept of matter waves.          (10.5)

  1. Starting from the time dependent Schrodinger equation, obtain the time independent

Schrodinger equation.                                                                                                      (6.5+6)

  1. Write down the radial part of the time-independent Schrödinger wave equation for the hydrogen atom and solve the equation to obtain the Eigen values of the energy of the atom. (10+2.5)
  2. (a) Describe Michelson – Morley experiment and explain the physical significance of the

negative result.                                                                                                             (8+2.5)

(b) How fast would a rocket have to go relative to an observer for its length to be contracted

to 99% of its length at rest?                                                                                                 (2)

  1. (a) Derive an expression for gravitational red shift. (6.5)

(b) Write a note on bending of light rays in a gravitational field.                                                (6)

 

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Loyola College B.Sc. Physics April 2009 Quantum Mechanics & Relativity (2) Question Paper PDF Download

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    LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

XC 21

B.Sc. DEGREE EXAMINATION – PHYSICS

SIXTH SEMESTER – April 2009

PH 6603 – QUANTUM MECHANICS & RELATIVITY

 

 

 

Date & Time: 18/04/2009 / 9:00 – 12:00          Dept. No.                                                    Max. : 100 Marks

 

 

                                                             PART – A

Answer ALL questions:                                                                                             (10×2=20 Marks)

 

  1. What are the assumptions of Planck’s radiation law?
  2. An electron is confined to a box of length 10-10m.Calculate the minimum uncertainty in its

velocity.

  1. What is a normalized wave function?
  2. Express the potential function of a particle in a box of width ‘ ’ and of infinite height.
  3. Explain the commutative property of operators with an example.
  4. Write down the eigen value equation for L2.
  5. Show that acceleration is invariant in all inertial frames, according to classical relativity.
  6. What is the velocity of π-mesons whose observed mean life is 2.5×10-7s. The proper mean

life is  2.5×10-8s.

  1. What is principle of equivalence?
  2. Explain the concept of gravitational lens.

PART – B

Answer any FOUR questions:                                                                          (4×7.5=30 Marks)

 

  1. a) Explain de Broglie’s hypothesis of matter waves and derive an equation for the wavelength

of such waves.                                                                                                                         (4.5)

 

  1. b) Calculate the de Broglie wavelength of waves associated with an electron which has been

accelerated from rest through a potential of 100V.                                                                   (3)

 

  1. Calculate the energy levels of a particle in a one dimensional square well potential with

perfectly rigid walls.

 

  1. Evaluate [x,Px] and [Lx,Ly] (3.5+4)

 

  1. a) Show that the length of an object appears to contract when moving with a velocity

comparable to that of light.                                                                                                     (5)

 

  1. b) If the velocity of an object is 0.6c, find out the percentage of length contraction. (2.5)

 

  1. Explain the basic ideas of general theory of relativity? Discuss the gravitational red shift

based on it.                                                                                                                              (3.5+4)

PART – C

Answer any FOUR questions:                                                                         (4×12.5=50 Marks)

 

  1. a) Describe G.P.Thomson’s experiment to demonstrate the wave nature of electrons and

verify de Broglie’s hypothesis of matter waves.                                                                       (8)

 

 

  1. b) Illustrate Heisenberg’s uncertainty principle with an example. (4.5)

 

  1. a) Discuss the motion of a particle in a three dimensional box. Find the eigenvalues

and eigenfunctions.                                                                                                                   (9)

 

  1. b) Explain non-degenerate and degenerate energy levels. (3.5)

 

  1. Solve the Schrodinger’s equation for a hydrogen atom.

 

  1. a) Derive the equations of Lorentz transformation. (10)

 

  1. b) The total energy of a particle is exactly twice its rest energy. Calculate its speed. (2.5)

 

  1. Discuss the following experimental observations which support general theory:

(i) Planetary motion and (ii) bending of light.                                                                        (6.5+6)

 

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Loyola College B.Sc. Physics April 2009 Properties Of Matter & Acoustics Question Paper PDF Download

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   LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

XC 02

B.Sc. DEGREE EXAMINATION – PHYSICS

FIRST SEMESTER – April 2009

 PH 1502 / 1501 – PROPERTIES OF MATTER & ACOUSTICS

 

 

 

Date & Time: 22/04/2009 / 1:00 – 4:00   Dept. No.                                                   Max. : 100 Marks

 

 

PART A: ANSWER ALL QUESTIONS                                                      (10 x 2 = 20)           

 

  • Define Poisson’s ratio.
  • The Young’s modulus of a metal is 2×1011N/m2 and its breaking stress is 1.078×109N/m2. Calculate the maximum amount of energy per unit volume which can be stored in the metal when stretched.
  • What is streamline motion?
  • Define coefficient of viscosity. Give its SI unit.
  • Give the dimension and unit of surface tension.
  • Define the term angle of contact.
  • State the principle of superposition of waves.
  • What are beats?
  • Define reverberation time.
  • Give the principle of magnetostriction effect.

 

PART B: ANSWER ANY 4 QUESTIONS                                                          (4 x 7.5 = 30)

 

  • (Show that.) Obtain a relation between the three elastic modulii.
  • Discuss the working of a McLeod gauge.
  • (a) A liquid drop of radius R breaks up into 64 small drops.  Calculate the change in energy.
    (b) An air bubble of radius 0.1mm is situated just below the surface of water.  Calculate the

excess pressure inside the air bubble. (Surface tension of water = 7.2 x 10-2N/m).

  • (a) Discuss the vibration of the air column in an open organ pipe.
    (b) An open organ pipe sounds the fundamental note of frequency 200Hz.  Find the length of the

pipe (velocity of sound in air is 350m/s).

  • What is piezo-electric effect? Explain how this method is employed to produce ultrasonic waves. Mention any two applications of ultrasonics.

 

PART C: ANSWER ANY 4 QUESTIONS                                                           (4 x 12.5 = 50)

 

  • (a) Derive an expression for the couple per unit twist due to torsional oscillations.

(b) Calculate the work done in twisting a steel wire of radius 10-3m and length 0.25m through an

angle 45˚. Given rigidity modulus = 8×1010N/m2.

 

  • (a) Obtain Stoke’s law for the motion of a body in a viscous medium from dimensional

considerations.

 

 

(b) Find the limiting velocity of a rain drop.  (Given diameter of the drop = 10-3m, density of air

relative to water = 1.3 x10-3, coefficient of viscosity of air = 1.8 x 10-5SI units and density of

water 103kg/m3).

 

  • a) Show that the vapor pressure on the curved surface of a liquid differs from that on the

plane surface of the same liquid by.
(b)  Calculate the difference in vapor pressure of water for a plane surface and for a drop of

radius 0.2mm.  Density of water vapor = 6 x 10-4g/cm3 and surface tension of water = 70

dynes/cm.

 

  • Explain Doppler effect. Derive an expression for the change in frequency of a note when
    • observer is at rest and source in motion
    • observer in motion and source is at rest and
    • observer and source in motion.

and Discuss the effect of wind.

 

  • (a) Write down Sabine’s reverberation formula and explain the symbols.
    (b) Derive an expression to calculate the absorption coefficient.
    (c) The volume of a room is 600m3. The wall area of the room is 220m2, the floor area is 120

m2, and the ceiling area is 120 m2.  The average sound absorption coefficient,

(i) for the walls is 0.03:

(ii) for the ceiling is 0.8 and

(iii) for the floor is 0.06.  Calculate the average sound absorption coefficient and reverberation

time.

 

 

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Loyola College B.Sc. Physics April 2009 Prop.Of Mat.& Thermal Physics Question Paper PDF Download

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       LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

XC 01

B.Sc. DEGREE EXAMINATION – PHYSICS

FIRST SEMESTER – April 2009

PH 1500 – PROP.OF MAT.& THERMAL PHYSICS

 

 

 

Date & Time: 20/04/2009 / 1:00 – 4:00            Dept. No.                                                   Max. : 100 Marks

 

 

PART- A

Answer ALL the questions                                                                (10×2=20 marks)

  1. State Newton’s second law of motion and obtain the unit of force.
  2. A metal disc of mass 1 kg and radius 0.1m is suspended at its centre by a wire of length 70 cm and radius 0.6 mm. The period of torsional oscillation is found to be 2.6 seconds. Calculate rigidity modulus.
  3. Give the expression for the energy stored in a stretched wire.
  4. State Hooke’s law.
  5. Write a brief note on lubricants.
  6. State Graham’s law of diffusion.
  7. Give two examples of Transport phenomena.
  8. What are intensive and extensive variables?
  9. Define the concept of entropy.
  10. Define latent heat of vaporization and write its unit.

PART- B

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

  1. a) Explain gravitational field and gravitational potential. ( 4.5)
  2. b) Discuss the variation of acceleration due to gravity with altitude.    (3)
  3. a) State Newton law of viscous flow.    (3)
  4. b) Discuss Meyer’s modification of Poiseuille’s formula for the rate

of  flow of gas through a capillary tube.                                                  (4.5)

  1. Describe Quincke’s drop method of finding the surface tension of Mercury.

14.a) Prove that  change in entropy in a reversible process is zero.                     (5.5)

  1. b) Give any two conditions for reversibility of a process.                    (2)
  2. a) Derive Ehrenfest’s equation for second order phase transition. (5.5)
  3. b) Give two examples of second order phase transition.                              (2)

PART- C

Answer any FOUR questions                                                                   (4×12.5=50 marks)

 

  1. a) Derive the relation between the various elastic constants of a material. (8.5)

 

  1. b) The modulus of rigidity and poisson’s ratio of the material of a wire are 2.87

x1010 N/m2 and 0.379 respectively. Find the value of young’s modulus of

the material of the wire.                                                                                           (4)

 

  1. a) Explain the molecular theory of surface tension. (4)

 

  1.  b) Derive an expression for the excess of pressure over a curved liquid

surface.                                                                                                            (8.5)

 

  1. a) State any four postulates of the kinetic theory of gases. (4)

 

  1. b) Deduce an expression for the pressure of a gas on the basis of this        (8.5)

 

 

  1. Deduce the Maxwell’s thermo dynamical relations.

 

  1. a) Explain Joule-Kelvin experiment. (6)

 

  1. b) Obtain an expression for the Joule-Kelvin co-efficient. (6.5)

 

 

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Loyola College B.Sc. Physics April 2009 Optics Question Paper PDF Download

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     LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 52

FIFTH SEMESTER – April 2009

PH 5506 – OPTICS

 

 

 

Date & Time: 06/05/2009 / 1:00 – 4:00   Dept. No.                                                   Max. : 100 Marks

 

 

PART A

Answer all questions.                                                                                    (10 x 2 = 20)

 

  1. What are Unit planes and Nodal planes?
  2. What is achromatism?
  3. What are coherent sources?
  4. In Lloyd’s single mirror Interference experiment the slit source is at the distance of 2 mm from the plane of the mirror. The screen is kept at the distance of 2 m from the source. Calculate the fringe width. Wavelength  of light is 5896 A0 .
  5. What is half period zone?.
  6. State Rayleigh’s  criteria for just resolution.
  7.  Write any two applications of Brewster’s Law?
  8. A 100 mm long tube containing 48 cm3 of sugar solution produces an optical rotation of  130 degree when placed in a saccharimeter.If the specific rotation of sugar solution is 660,calculate he quatity of sugar contained in the tube in the form of a solution.
  9. Write a short note on second Harmonic generation.
  10. What do you mean by spontaneous and stimulated emission?

 

PART B

Answer any FOUR Questions.                                                                    (4 x 7.5 = 30)   

                                                                      

  1. Derive Abbe,s sine condition for the elimination of spherical aberration and coma.
  2. What is interference of light on its basis explain the color effects in thin films?
  3. Find an expression for the resolving power of plane transmission grating.
  4. Explain how a quarter wave plate functions to produce circularly and elliptically polarized

light..

  1. Write note on threshold condition for lasing?.

 

PART C

Answer any FOUR questions.                                                                  (4 x 12.5 = 50)

 

16.a. Mention any six differences between Huygen’s and Ramsden’s  eyepieces.

  1. A thick Biconvex lens having radii of curvature + 6 cm and -6 cm is made up of a

material of refractive index 1.6. If the thickness of the lens is 2 cm find

  1. i) System Matrix
  2. ii) Focal length

iii)Unit planes.

  1. Describe the construction and working of Michelson interferometer. How will you

determine the wavelength of monochromatic light.

18)  Describe and explain the Fraunhofer pattern  obtained with the narrow slit and illuminated

by a parallel beam of mono chromatic light.

19) What is optical activity? Discuss the Fresnel’s explanation of Optical rotation..

  1. Describe the construction and working f the Carbon dioxide laser.

 

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Loyola College B.Sc. Physics April 2009 Optics Question Paper PDF Download

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      LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 10

THIRD SEMESTER – April 2009

PH 3500 – OPTICS

 

 

 

Date & Time: 06/05/2009 / 9:00 – 12:00  Dept. No.                                                   Max. : 100 Marks

 

 

SECTION – A

Answer all the questions.                                                                    10 × 2 = 20 Marks

 

  1. What do you mean by Nodal points and Nodal planes?
  2. What is chromatic aberration of a lens?
  3. Compare the interference fringes produced by biprism with those produced by Lloyd’s mirror.
  4. How would you test the planeness of a surface optically?
  5. Using a plane transmission grating set for normal incidence, the sodium yellow doublet is just resolved in the second order spectrum. What is the minimum number of lines present on the grating? The yellow sodium doublet has a mean wavelength of 5893A˚ with 6A˚ as the width between the two lines.
  6. Distinguish between Fresnel and Fraunhoffer diffraction.
  7. What is a half – wave plate?
  8. State the law of Malus.
  9. What do you understand by stimulated emission? Mention its importance.
  10. What do you understand by nonlinear optical phenomenon?

SECTION – B

Answer any four questions.                                                               4 × 7.5 = 30 Marks

  1. (a) What is the advantage of using matrix method in optics?             (2)

 

(b)        Determine the matrix that will produce the effect of refraction on a ray of

light.                                                                                                       (5.5)

  1. Describe Fresnel’s biprism method to determine the wavelength of light .  (7.5)
  2. (a) What is a zone plate?                                                                              (2.5)
    • What are the differences between a zone plate and a convex lens? (5)
  3. How would you produce and detect elliptically polarized light?           (4.5+3)
  4. Give the theory of spontaneous and stimulated emission of radiation. Determine Einstein’s                                                                                                                 (7.5)

 

 

SECTION-C

Answer any four questions.                                                               4 × 12.5 = 50 Marks

  1. (a) Describe the construction and working of a Ramsden eyepiece.       (3+5.5)

(b)        Explain how chromatic and spherical aberrations are minimized in this                    eyepiece.                                                                                                      (2+2)

  1. (a) Describe the construction and working of Michelson’s interferometer.

(3+5.5)

(b)          How would you use it to determine the wavelength of light?                (4)

  1. (a) What do you understand by resolving power of an optical instrument?

(2)

(b)        Explain Rayleigh criterion for resolution and apply it to find the resolving power of a prism.                                                                                                   (4+6.5)

  1. (a) Define specific rotatory power.                                                                 (2)

(b)        Explain how specific rotatory power of a sugar solution is determined

using Laurent’s half shade polarimeter.                                                       (8.5)

(c)        A 20 cm long glass tube containing sugar solution rotates the plane of

polarization by 11˚.If the specific rotation of the solution is   66 ˚,

calculate  the concentration of the solution.                                                 (2)

  1. (a) Derive threshold condition for laser action.                                               (4)

(b)        Explain the principle and working of a He – Ne laser.                               (8.5)

 

 

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Loyola College B.Sc. Physics April 2009 Mechanics Question Paper PDF Download

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      LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

XC 05

B.Sc. DEGREE EXAMINATION – PHYSICS

SECOND SEMESTER – April 2009

PH 2501 – MECHANICS

 

 

 

Date & Time: 23/04/2009 / 1:00 – 4:00      Dept. No.                                                       Max. : 100 Marks

 

 

PART A

Answer all questions.  All questions carry equal marks.                           (10 x 2 = 20 marks)

  1. Define linear momentum. Give its unit.
  2. Show points of suspension and oscillation are interchangeable.
  3. Define center of gravity.
  4. What are concurrent forces?
  5. State Torricelli theorem.
  6. A venturimeter has pipe diameter of 0.2m and a throat diameter 0.15m. The levels of water

column in the two limbs differs by 0.1m.  Calculate the amount of water discharged through

the pipe in one hour.  (Density of water 1000 kgm-3).

  1. Define the concept of Degrees of freedom.
  2. State D’Alembert’s principle.
  3. State the postulates of special theory of relativity.
  4. How fast would a rocket have to go relative to an observer for its length to be contracted to

99% of its length at rest.

 

PART B

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

  1. Derive an expression for the period of oscillation of torsion pendulum.
  2. Determine the location of the center of gravity of a solid cone.
  3. Describe and explain working of pitot tube.
  4. Explain the term “virtual displacement” and state the principle of virtual work.
  5. Derive an expression for addition of velocities using Lorentz transformation.

 

PART C

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

  1. Explain how g can be determined using Compound pendulum.
  2. State the laws of flotation. Discuss the experimental determination of the metacentric height

of a ship?

  1. State and explain Bernoulli’s theorem. Discuss in detail two applications of this theorem.
  2. State Lagrange’s equations of motion in generalized coordinates. Apply them to the

Atwood’s machine to find the acceleration of the system.

  1. Derive the Lorentz transformation equations.

 

 

 

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Loyola College B.Sc. Physics April 2009 Mechanics Question Paper PDF Download

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      LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 48

SECOND SEMESTER – April 2009

PH 2503 – MECHANICS

 

 

 

Date & Time: 23/04/2009 / 1:00 – 4:00  Dept. No.                                                   Max. : 100 Marks

 

 

 

PART – A

       Answer ALL questions:                                                                                (10×2=20 Marks)

 

  1. Define centre of oscillation and centre of suspension.
  2. What is a compound pendulum?
  3. Explain concurrent forces.
  4. Define centre of gravity.
  5. Water flowing with a velocity of 2m/s in a 4cm diameter pipe enters a narrow pipe having a diameter of 2cm. Calculate the velocity in the narrow pipe.
  6. State Torricelli’s theorem.
  7. What are generalized coordinates?
  8. Explain constraints with an example.
  9. State Newton’s universal law of gravitation.
  10. Calculate the escape velocity of a body from the moon’s surface, if the radius of the moon is 1.7×106m and acceleration due to  gravity on the moon’s surface is 1.63m/s2.

 

PART B

      Answer any FOUR questions:                                                                        (4×7.5=30 Marks)

 

  1. State and prove the law of conservation of angular momentum. (2+5.5)
  2. Find out the location of the centre of gravity of a solid tetrahedron.
  3. Explain the working of venturimeter.
  4. Apply Lagrange’s equations of motion to the Atwood machine to find out the

acceleration of the system.

  1. a)State Kepler’s laws of motion. (3)

b)Derive law of gravitation from Kepler’s law.                                                             (4.5)

 

PART C

      Answer any FOUR questions:                                                                       (4×12.5=50 Marks)

 

  1. a) Derive an expression for the period of oscillation of a compound pendulum. (7.5) b)Find out the condition for the minimum time period. (5)
  2. Find the position of the centre of pressure of a triangular lamina immersed in a

liquid with its (i) vertex and (ii) base, touching the surface of the liquid.                (6+6.5)

  1. a)State and prove Bernoulli’s theorem. (6)

b)Obtain the relation between time of diffusion and length of column.                        (6.5)

  1. a)Explain the term ‘virtual displacement’ and state the principle of ‘virtual work’. (6.5)

b)State and explain D’Alembert’s principle.                                                                  (6)

  1. Define and obtain expressions for (i)orbital velocity and (ii) escape velocity of a

satellite.                                                                                                                     (6+6.5)

 

 

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Loyola College B.Sc. Physics April 2009 Mechanics & Sound Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 04

SECOND SEMESTER – April 2009

PH 2500 – MECHANICS & SOUND

 

 

 

Date & Time: 23/04/2009 / 1:00 – 4:00       Dept. No.                                                       Max. : 100 Marks

 

 

PART – A

Answer ALL questions:                                                                                     (10×2=20 Marks)

 

  1. State the parallel axes theorem of moment of inertia.
  2. Two cars A &B are moving with velocities 24km/hr and 32km/hr due east and north

respectively. Find the relative velocity.

  1. Define centre of gravity.
  2. State the laws of floatation.
  3. What are holonomic and nonholonomic constraints?
  4. Define conservative and non conservative systems.
  5. A tuning fork A produces 4 beats/sec with a tuning fork of frequency 256 Hz. The fork A is filed and the

beats occur at shorter intervals. What was its original frequency?

  1. State the laws of vibrations of a transverse string.
  2. What is piezoelectric effect?
  3. A hall of volume 4500m3 is found to have a reverberation time of 2.37 sec. If the sound

absorbing surface of the hall has an area of 750m2, calculate the absorption coefficient.

 

PART – B

Answer any FOUR questions:                                                                          (4×7.5=30 Marks)

 

  1. Show that the path of a projectile is a parabola.
  2. Find out the position of the centre of gravity of a hollow hemisphere.
  3. Apply Lagrange’s equations of motion to the Atwood machine to find out the acceleration

of the system.

  1. Discuss the effect of pressure, temperature and density on the velocity of sound.
  2. Describe the magnetostriction method of producing ultrasonic waves.

 

PART – C

Answer any FOUR questions:                                                                         (4×12.5=50 Marks)

 

  1. a) Obtain an expression for the acceleration of a body rolling down an inclined plane

without slipping.                                                                                                              (8.5)

  1. b) Discuss the above result for the cases of solid sphere and solid cylinder. (4)
  2. Find the location of the centre of pressure of a triangular lamina immersed in a liquid

with its (i) vertex and (ii) base, touching the surface of the liquid.                               (6+6.5)

  1. a)Derive the equation of motion for a simple pendulum, using Lagrangian method.     (6)

b)State Hamiltonian principle and obtain Hamiltonian equations of motion.                  (6.5)

  1. Discuss the composition of two simple harmonic motions acting along (i) a straight line

and (ii) at right angles.                                                                                                   (5+7.5)

  1. a) Define reverberation time and explain the use of Sabine’s formula. (2+4.5)
  2. b) Discuss the condition for good a acoustical design of an auditorium. (6)

 

 

 

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Loyola College B.Sc. Physics April 2009 Mathematics For Physics Question Paper PDF Download

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      LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

ZA 06

THIRD SEMESTER – April 2009

MT 3102 / 3100 – MATHEMATICS FOR PHYSICS

 

 

 

Date & Time: 17/04/2009 / 1:00 – 4:00      Dept. No.                                                       Max. : 100 Marks

 

 

SECTION A

Answer ALL questions:                                                                   (10 x 2 = 20)

  1. Find the n th derivative of
  2. Find the polar subtangent and subnormal for the curve .
  3. Prove that
  4. Find the rank of the matrix
  5. Find .
  6. Find .
  7. Expand .
  8. Prove that
  9. A letter of English alphabet is chosen at random. Find the probability that the letter so chosen follows m and is a vowel.
  10. With the usual notation state Poisson distribution.

 

SECTION B

Answer any FIVE questions:                                                           (5 x 8 = 40)

  1. Find the nth derivative of .
  2. Find the angle of intersection of the curves and .
  3. Find the sum to infinity the series
  4. Find the inverse Laplace transform of
  1. If prove that .
  1. Expand in terms of cosq.
  1. 25 books are placed at random in a shelf. Find the probability that a pair of books shall be always together.
  2. If two dice are thrown, what is the probability that the sum is greater than 8.

 

SECTION C

Answer any TWO questions:                                                                       (2 x 20 = 40)

 

  1. (a)If prove that

(b) Find the maxima and minima of .                   (10+10)

  1. (a) Find the characteristic roots and the associated characteristic vectors of the matrix

 

(b) Verify Cayley Hamilton Theorem for matrix  .

(12+8)

  • (a) Express in a series of cosines of multiples of θ.

(b) Find .

(c) Separate into real and imaginary parts of .                                  (5+5+10)

22  (a) Solve , given  and .

(b) A coin is tossed six times. What is the probability of obtaining four or more heads?

 

(12+8)

 

 

 

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Loyola College B.Sc. Physics April 2009 Mathematical Physics Question Paper PDF Download

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       LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 22

SIXTH SEMESTER – April 2009

PH 6604 – MATHEMATICAL PHYSICS

 

 

 

Date & Time: 21/04/2009 / 9:00 – 12:00     Dept. No.                                                       Max. : 100 Marks

 

 

PART-A                                                             (10 X 2 =20 MARKS)

 

ANSWER ALL QUESTIONS

 

1). Write down the triangle inequality for two complex numbers z1 and z2.

2). Write down the complex representation for a circle of radius 2 units.

3). State Cauchy Riemann conditions for a function f(x,y) = u(x,y) + i v(x,y) to be analytic.

4). Define simply connected and multiply connected domains in a complex plane.

5). If u1 and u2 are two solutions of a homogeneous differential equation what can you say about

u = a u1 + b u2,   with `a’ and ‘b’  constants.

6). Write down the two dimensional wave equation for a wave with velocity 1 m/s.

7). In the expansion for f(x) = a0 + n cos (nx) + n sin (nix) , write a0  in terms of f(x).

8). If f(x) is an even function of period 2, what happens to the Fourier sine coefficients.

9). Write down the Trapezoidal rule for integration of a function f(x) between x0 and x0 +h.

10.Write down the relationship between the shift operator `E’ and the forward difference

operator.

 

PART-B                                                             (4 X 7.5 = 3O MARKS)

 

ANSWER ANY FOUR QUESTIONS.

 

11). If f(z) = 3z2 + z, evaluate f(z) for a). z = 2 + i and z = -4 + 2 i and locate these points in the

complex plane.

12). State and prove Cauchy’s integral theorem.

13). Obtain the Laplace equation in two dimensions in terms of the polar coordinates.

14). If F(s) is the Fourier transform of f(x) find the Fourier transform of f(ax) and f(x-u), with

`a’ and `u’ being constants.

15). Using Euler method, solve the following differential equation to find y(0.4), given ,

with y(0)=1 and h = 0.1. Compare your result with the exact solution.

 

PART-C                                                             (4 x 12.5 = 50 MARKS)

ANSWER ANY FOUR QUESTIONS.

 

  1. What do you mean by conjugate harmonic functions? If the following functions are

harmonic, find their conjugate functions, f(x,y) = u(x,y) + i v(x,y),

a). u (x,y) = e x cos (y) ; b). v = xy.

17). Evaluate the following integrals over the  unit circle.

  1. a) and  b).

18). (i). Find `a’ and ‘b’ if u(x,y) = a x2 – b y2 is solution of the Laplace equation in two

dimensions.

(ii). Derive the partial differential equation for small transverse displacement `u’ of an

elastic string.

19). (i). State and prove Parseval’s identities for Fourier transforms.

(ii). Find the Fourier transform of f(x) = 2  for –a < x < a and f(x) = 0 for all other values.

20). From the following census data find the population for the year 1895 and 1906

 

Year 1891 1901 1911 1921 1931
Population

(in thousands)

 46 66 81 93 101

 

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Loyola College B.Sc. Physics April 2009 Mathematical Physics Question Paper PDF Download

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       LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

XC 15

B.Sc. DEGREE EXAMINATION – PHYSICS

FOURTH SEMESTER – April 2009

PH 4502 – MATHEMATICAL PHYSICS

 

 

 

Date & Time: 24/04/2009 / 9:00 – 12:00  Dept. No.                                                  Max. : 100 Marks

 

 

 

PART-A                                                             (10 x 2 = 20 MARKS)

 

ANSWER ALL QUESTIONS.

 

1). Given z1 = 2 – i and z2 = 2 + i find z1* z2 .

2). Check if the function f(z) = x + i y  is analytic.

3). Evaluate .

4). Explain the property of linearity in complex line integral.

5). Define the eigen value problem for the operator .

6). Write down the two dimensional wave equation.

7). Give the Parseval’s identity for Fourier transforms.

8). Define Fourier sine transform.

9). Why is Lagrange’s interpolation advantageous over Newton’s interpolation?

10). Write down Simpson’s 1/3 rule for integration.

 

PART-B                                                             ( 4 x 7.5 = 30 MARKS).

 

ANSWER ANY FOUR QUESTIONS.

 

11). Simplify the following a). (4+ 2i) (2 + i) ; b). 4[(2+2i)/(2-2i)]2 – 3[(2-2i)/(2+2i)]2,

Locate these points in the complex plane.

12). Verify Cauchy’s integral theorem for the integral of  z 2 over the boundary of the

rectangle with vertices (0,0) , (1,0) , (1,1), (0,1) in the counterclockwise sense.

13). Find D’Alembert’s solution of the wave equation for a vibrating string.

14). Prove the following for the Fourier transforms F{f(ax)}= (1/a)F(s/a) and F{f’(x)}= is

F(s), here F(s) is the Fourier transform of f(x) and the prime denotes differentiation

with respect to `x’.

15). Use Euler method to solve with y(0) = 2 Find y(0.2) with h = 0.1.

 

PART-C                                                             (4 x 12.5 = 50 MARKS)

 

ANSWER ANY FOUR QUESTIONS.

 

16). State and prove Cauchy’s integral formula.

17). Derive the Cauchy Riemann equation for a complex function to be analytic. Express

it in polar coordinates.

18). Explain the method of separation of variables to solve the one dimensional wave

equation .

Check whether u = x2 – y2 satisfies the two dimensional Laplace equation.

19). (a). State and prove the convolution theorem for the Fourier transforms.

(b). Find the Fourier sine transform of e-ax.

  1. (a). Given y = sin (x ) , generate the table for x = 0 /4 and /2 Find the value of

sin (/6). using Lagrange’s interpolation method.

(b). For the given data calculate the Newton’s forward difference table.

(x,y): (0,0), (1,2), (2,6), (3,16).

 

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Loyola College B.Sc. Physics April 2009 Electricity & Magnetism Question Paper PDF Download

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      LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 50

FIFTH SEMESTER – April 2009

PH 5505 / 4500 – ELECTRICITY & MAGNETISM

 

 

 

Date & Time: 24/04/2009 / 1:00 – 4:00  Dept. No.                                                  Max. : 100 Marks

 

 

PART – A

Answer all questions.All questions carry equal marks.      (10 x 2 = 20marks)

 

  1. Define electric dipole moment.
  2. Define the capacitance of a capacitor.
  3. What is thermo electric power?
  4. A reversible cell has an emf of 1 volt at 0 0 C. Assuming that the energy provided by the chemical reactions occurring in the cell amounts to 1.092 J/C, calculate the change in its emf when its temperature rises to 10 C.
  5. Define ampere.
  6. What is Coefficient of coupling ?
  7. If the charge on a capacitor of capacitance is leaking through a high resistance of 100 megaohms is reduced to half its maximum value, calculate the time of leakage.
  8. Differentiate series resonant circuit from parallel resonant circuit.
  9. Mention any two properties of dia magnetic materials.
  10. What is curie temperature ?

 

PART – B

Answer any four questions.                                                         (4×7.5=30marks)

 

  1. Obtain expressions for electric potential and electric field at any point due to a dipole.
  2. Describe the experimental method of determination of specific conductivity of an

electrolyte using kohlrausch bridge.

  1. Derive an expression for the flux density at a point inside a solenoid.
  2. a) Write a note on choke coil (4 marks)
  3. b) A coil has an inductance of 0.1 H and a resistance of 12 ohms. It is connected

to a 220V, 50Hz mains. Determine the (1) reactance of the coil, (2) impedance

of the coil.                                                                                      (3.5 marks)

  1. Using Maxwell’s equations determine the velocity of electromagnetic waves in

free space.

PART – C

Answer any four questions.                                                        (4×12.5=50marks)

 

  1. a) Find an expression for the capacity of a cylindrical condenser.               (7.5 marks)
  2. b) A co-axial cable consists of a copper core of 1mm radius within an outer metal

sheath of 1cm. radius separated by an insulating material of dielectric constant

  1. What is the capacitance per metre length of the cable in pico-farad? (5marks)
  2. Define Peltier and Thomson coefficients and derive expressions for them.
  3. a) Describe the construction of a moving coil galvanometer and derive an expression

for the quantity of charge flowing through it.                                          (9 marks)

  1. b) The successive throws on the same side of the mean position for an oscillating

coil are 25, 24.9 and 24.8 cm. Calculate the logarithmic decrement.       (3.5 marks)

  1. Discuss the growth and decay of charge in an LCR circuit.
  2. Discuss the Langevin’s theory of paramagnetism.

 

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Loyola College B.Sc. Physics April 2009 Atomic And Nuclear Physics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC25

FIFTH SEMESTER – April 2009

PH 5504 – ATOMIC AND NUCLEAR PHYSICS

 

 

 

Date & Time: 16/04/2009 / 9:00 – 12:00       Dept. No.                                                       Max. : 100 Marks

 

 

PART-A

 

Answer ALL questions:                                                                             (10 x 2 = 20 marks)

 

  1. What are the possible values for angular momentum in units of ħ for an electron in l = 1 state?
  2. What is anomalous Zeeman effect?
  3. State Geiger-Nuttal law.
  4. Why should the spin of the neutrino have half integral value?
  5. Give the Lawson criteria for nuclear fusion.
  6. What are magic numbers?
  7. Name the Four types of fundamental
  8. What is Larmor precession?
  9. What is the frequency of NMR radiation between two equally populated levels of spin ½ systems.
  10. Name the types of quarks. Give the quark contents of proton and neutron.

 

PART-B

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

 

  1. Derive the expression for change in wave length due to Compton effect.
  2. a). Describe the various components of a nuclear reactor. (6 Marks)

b). What is a breeder reactor?                                               (1.5 Marks)

  1. Obtain the expression for transmission probability for alpha particles through a radioactive uclei..
  2. Explain the Yukawa’s theory of nuclear forces, Establish that the particle which mediate the nuclear force is 275 times heavier than electron.
  3. a). Discuss the effect of earth’s magnetic field on cosmic rays

b). What are Van Allen belts?

PART-C

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

 

  1. Describe Thompson’s parabola method to determine the e/m value for a positive ion. How does one find the ratio of masses for positive ions using this method?
  2. Explain liquid drop model for the nucleus and hence arrive at the Weizacker binding energy formula for a nucleus.

 

 

 

  1. a). Define the binding energy of a nucleus. (2)

b). Calculate the binding energy for a α- particle, Given mp = 1.007276u , mn= 1.008665u &

mα = 4.001506 u. (3)

c). Discuss the binding energy per nucleon and packing factor verses mass number curves. (7.5)

 

  1. a) Describe the shell model for nuclei. (5).

b). Discuss the classification of elementary particles. (5)

c).State various conserved quantities associated with elementary particle interactions.(2.5)

 

  1. a) Describe the interaction between nuclear magnetic moment and the magnetic field and explain how this leads to NMR radiation. (6.5)

b). What is Chemical effect in NMR?. (3)

c). What is Mossbauer effect? (3)

 

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Loyola College B.Sc. Physics April 2009 Atomic & Nuclear Physics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC25

FIFTH SEMESTER – April 2009

PH 5504 – ATOMIC AND NUCLEAR PHYSICS

 

 

 

Date & Time: 16/04/2009 / 9:00 – 12:00       Dept. No.                                                       Max. : 100 Marks

 

 

PART-A

 

Answer ALL questions:                                                                             (10 x 2 = 20 marks)

 

  1. What are the possible values for angular momentum in units of ħ for an electron in l = 1 state?
  2. What is anomalous Zeeman effect?
  3. State Geiger-Nuttal law.
  4. Why should the spin of the neutrino have half integral value?
  5. Give the Lawson criteria for nuclear fusion.
  6. What are magic numbers?
  7. Name the Four types of fundamental
  8. What is Larmor precession?
  9. What is the frequency of NMR radiation between two equally populated levels of spin ½ systems.
  10. Name the types of quarks. Give the quark contents of proton and neutron.

 

PART-B

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

 

  1. Derive the expression for change in wave length due to Compton effect.
  2. a). Describe the various components of a nuclear reactor. (6 Marks)

b). What is a breeder reactor?                                               (1.5 Marks)

  1. Obtain the expression for transmission probability for alpha particles through a radioactive uclei..
  2. Explain the Yukawa’s theory of nuclear forces, Establish that the particle which mediate the nuclear force is 275 times heavier than electron.
  3. a). Discuss the effect of earth’s magnetic field on cosmic rays

b). What are Van Allen belts?

PART-C

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

 

  1. Describe Thompson’s parabola method to determine the e/m value for a positive ion. How does one find the ratio of masses for positive ions using this method?
  2. Explain liquid drop model for the nucleus and hence arrive at the Weizacker binding energy formula for a nucleus.

 

 

 

  1. a). Define the binding energy of a nucleus. (2)

b). Calculate the binding energy for a α- particle, Given mp = 1.007276u , mn= 1.008665u &

mα = 4.001506 u. (3)

c). Discuss the binding energy per nucleon and packing factor verses mass number curves. (7.5)

 

  1. a) Describe the shell model for nuclei. (5).

b). Discuss the classification of elementary particles. (5)

c).State various conserved quantities associated with elementary particle interactions.(2.5)

 

  1. a) Describe the interaction between nuclear magnetic moment and the magnetic field and explain how this leads to NMR radiation. (6.5)

b). What is Chemical effect in NMR?. (3)

c). What is Mossbauer effect? (3)

 

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Loyola College B.Sc. Physics Nov 2009 Atomic & Nuclear Physics Question Paper PDF Download

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   LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 19

FIFTH SEMESTER – April 2009

PH 5500 – ATOMIC & NUCLEAR PHYSICS

 

 

 

Date & Time: 16/04/2009 / 9:00 – 12:00    Dept. No.                                                       Max. : 100 Marks

 

 

PART A

Answer all questions.  All questions carry equal marks.                           (10 x 2 = 20 marks)

  1. Define excitation potential.
  2. State Pauli’s exclusion principle.
  3. What is photoelectric effect?
  4. Find the minimum wavelength of x-rays produced by an x-ray tube operated upon 1000V.

(h = 6.625 x 10-34 JS,  e = 1.602 x 10-19c,   c = 2.998 x 108 m/s)

  1. Define mass defect and packing fraction.
  2. State Geiger-Nuttal law.
  3. Define half-life period.
  4. Distinguish between controlled and uncontrolled chain reaction?
  5. Write the expression for semi empirical mass formula.
  6. What are cosmic ray showers?

 

PART B

Answer any four questions.                                                                         (4 x 7.5 = 30 marks)

  1. Describe Aston’s mass spectrograph.
  2. The wavelength of Lα x-ray line platinum (atomic no.78) is 1.321Å . An unknown substance

emits Lα X-rays of wavelength 4.174Å .  Calculate the atomic number of the unknown

substance.  Given b = 7.4 for Lα lines.

  1. Using Rabi’s method how nuclear magnetic moment is determined?
  2. Explain the methods of detection of neutron.
  3. Explain yukawa’s meson theory of nuclear forces.

 

PART C

Answer any four questions.                                                                         (4 x 12.5 = 50 marks)

  1. a)Describe the Stern and Gerlac experiment and indicate the importance of the results

obtained.                                                                                                                                         (10)

b)Distinguish between anomalous and normal Zeeman effect.                                            (2.5)

  1. Explain the different types of photoelectric cells and mention their uses. (4+4+4.5)
  2. Explain the theory of β decay in detail.
  3. a) Describe the construction and explain the function of nuclear reactor. (9)
  4. b) Fine the energy released in fusion during the formation of helium nuclei.

1H2 = 2.014102 amu   2He4 = 4.002604 amu.                                                                   (3.5)

  1. a) Explain the classification of elementary particles. (8)
  2. b) Discuss the conservation laws.     (4.5)

 

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