## Loyola College B.Sc. Physics April 2011 Thermodynamics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – APRIL 2011

# PH 3505/PH 3503 – THERMODYNAMICS

Date : 25-04-2011              Dept. No.                                                  Max. : 100 Marks

Time : 1:00 – 4:00

SECTION – A

1. Give the dimensions of coefficient of viscosity.
2. State the principle of equipartition of energy.
3. Define the molar heat capacities for a gas.
4. Define super fluidity.
5. 7 J of heat is supplied to a system and the internal energy of the system decreases by 4 J.

Find the work done.

1. Define enthalpy.
2. Write down the Gibbs – Helmholtz equation.
3. What is phase transition? Give an example.
4. Define thermodynamic probability.
5. Define Solar constant.

SECTION – B

Answer Any FOUR the questions                                                                               (4×7.5=30)

1. Obtain the expression for the pressure of an ideal gas, from the kinetic theory of gases,

and hence the ideal  gas equation of state.                                                              (5+2.5)

1. Explain the process of liquefying hydrogen.
2. a) State the second law of thermodynamics.
3. b) From the first law of thermodynamics, obtain the relation:

(2.5+5)

1. Obtain the Maxwell’s thermodynamic equations.
2. (a) Define microstates and macro states.

(b) How will you distribute 3 particles among 4 states under Maxwell-Boltzmann,

and Bose-Einstein statistics?                                                                                            (3.5+4)

SECTION – C

Answer Any Four the questions                                                                                      (4×12.5=50)

1. Obtain the Maxwell’s speed distribution for the molecules of an ideal gas.

1. (a) Discuss Clement-Desormes method to determine the ratio of specific heats.

(b) List any two properties of He I and of He II.                                                                     (8.5+4)

1. (a) Obtain the Clausius inequality.

(b) One mole of an ideal gas expands isothermally to four times its initial volume.

Calculate the entropy change in terms of  R, the gas constant.                             (8.5+4)

1. a) Explain Joule-Kelvin effect. Obtain an expression for the Joule-Kelvin coefficient.

Discuss the significance of the various terms in it.

1. b) Explain Eherenfest classification of phase transitions.                                     (9+3.5)

1. Derive the Planck’s law of black body radiation from Bose – Einstein statistics.

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## Loyola College B.Sc. Physics April 2011 Solid State Physics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

SIXTH SEMESTER – APRIL 2011

# PH 6610/PH 6606 – SOLID STATE PHYSICS

Date : 07-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

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

1. Define crystal lattice?
2. What is coordination number?
3. Write Laue equations.
4. Why are X-rays used for diffraction studies in crystals?
5. Give the classical value of specific heat at high temperatures and at T = OK.
6. What is the basic difference between Einstein’s model and Debye model?
7. Mention the differences between free electron gas and ordinary gas?
8. What is Hall effect?
9. What is Meissner effect?
10. Explain Type I superconductor.

PART – B

1. a) What are Miller indices?
1. b) Calculate the ratio of d100 : d110 : d111 for simple cubic structure.
1. Write a note on neutron diffraction.
2. Debye temperature of diamond is 1850 K. Calculate the molar specific heat for diamond at 20 K. Also compute the highest lattice frequency involved in the Debye theory.

(R = 8.4 J.mol– 1.K– 1  ,h = 6.62 X 10– 34 Js kb = 1.38 X 10– 23 J.K– 1 ).

1. Discuss the variation of density of states with energy for a free electron gas in 3-d.
2. Explain Josephson effect.

PART – C

1. Describe three dimensional lattice types with suitable diagrams.
2. Explain the powder method of X-ray diffraction studies.
3. Derive an expression for the specific heat of a solid on the basis of Einstein’s theory.
4. Derive an expression for the paramagnetic susceptibility of a free electron gas.
1. Explain the occurrence of superconductivity based on BCS theory.

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## Loyola College B.Sc. Physics April 2011 Solid State Physics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

SIXTH SEMESTER – APRIL 2011

# PH 6610/PH6606 – SOLID STATE PHYSICS

Date : 07-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

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

1. Define crystal lattice?
2. What is coordination number?
3. Write Laue equations.
4. Why are X-rays used for diffraction studies in crystals?
5. Give the classical value of specific heat at high temperatures and at T = OK.
6. What is the basic difference between Einstein’s model and Debye model?
7. Mention the differences between free electron gas and ordinary gas?
8. What is Hall effect?
9. What is Meissner effect?
10. Explain Type I superconductor.

PART – B

1. a) What are Miller indices?
1. b) Calculate the ratio of d100 : d110 : d111 for simple cubic structure.
1. Write a note on neutron diffraction.
2. Debye temperature of diamond is 1850 K. Calculate the molar specific heat for diamond at 20 K. Also compute the highest lattice frequency involved in the Debye theory.

(R = 8.4 J.mol– 1.K– 1  ,h = 6.62 X 10– 34 Js kb = 1.38 X 10– 23 J.K– 1 ).

1. Discuss the variation of density of states with energy for a free electron gas in 3-d.
2. Explain Josephson effect.

PART – C

1. Describe three dimensional lattice types with suitable diagrams.
2. Explain the powder method of X-ray diffraction studies.
3. Derive an expression for the specific heat of a solid on the basis of Einstein’s theory.
4. Derive an expression for the paramagnetic susceptibility of a free electron gas.
1. Explain the occurrence of superconductivity based on BCS theory.

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## Loyola College B.Sc. Physics April 2011 Quantum Mechanics & Relativity Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

SIXTH SEMESTER – APRIL 2011

# PH 6609/ 6605/6603/6600 – QUANTUM MECHANICS & RELATIVITY

Date : 05-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

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

1. What are de Broglie waves?
2. Mention any two applications of an electron microscope.
3. What is the physical interpretation of wave function?
4. Calculate the minimum energy of an electron in an infinitely deep potential well of width 4nm. Given that h=6.625×10-14Js and mass of the electron is 9.11×10-31
5. What is meant by zero point energy in quantum mechanics?
6. Show that [x,p] = i ħ.
7. What is the conclusion from the results of Michelson-Morley experiment?
8. What is the fundamental importance of mass-energy relation in nuclear physics?
9. State two postulates of general theory of relativity.
10. Distinguish between inertial mass and gravitational mass.

PART – B

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

1. (a) State and explain the uncertainly principle.                                                            (4)

(b)  An electron has a speed of 4×105ms-1 accurate to 0.01%.  With what fundamental

accuracy can we locate the position of electron?

Given mass of electron = 9.11×10-31kg.                                                                     (3.5)

1. Explain the theory of α- disintegration using the tunnelling effect in quantum mechanics.
2. Obtain the expressions for orbital angular momentum operator in both Cartesian and Spherical polar coordinates. (3+4.5)
3. Write notes on: (i) Length contraction                                                                         (4)

(ii)    Time dilation                                                                                       (3.5)

1. Discuss the bending of light rays in a gravitational field.

PART – C

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

1. (a) Describe G.P Thomson’s experiment on electron diffraction and explain the

important conclusions.                                                                                                     (10)

(b) What voltage must be applied to an electron microscope to produce electrons of

wavelength 0.40A?                                                                                                            (2.5)

1. Derive Schrödinger’s time independent and time dependent wave equations using the

concept of matter waves.                                                                                                    (7.5+5)

1. Solve the radial part of the time independent Schrödinger wave equation for the

hydrogen atom and hence obtain the energy levels of the hydrogen atom.   (10+2.5)

1. (a) Derive the expression for the relativistic variation of mass with velocity. (10)

(b)  A proton of rest mass 1.67×10-27kg is moving with a velocity 0.9c.

Find its mass.                                                                                                                      (2.5)

1. (a) Write a note on gravitational red shift.      (6.5)

(b) Explain planetary motion using Einstein’s theory of gravitation.                                            (6)

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## Loyola College B.Sc. Physics April 2011 Optics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – APRIL 2011

# PH 5509/PH 5506/PH 3500 – OPTICS

Date : 19-04-2011              Dept. No.                                          Max. : 100 Marks

Time : 1:00 – 4:00

PART-A

1. Give any two methods to minimize the spherical aberration .
2. State any two difference between Ramsden and Huygens eyepiece.
3. Give the condition for interference maxima and minima interms of path difference.
4. What should be the positions of mirrors to produce circular fringes and straight fringes in Michelson interferometer.
5. In a plane transmission grating the angle of diffraction for the second order principal maxima for the wavelength 5×10-5 cm is 30.Calculate the number of lines in one cm of the grating surface.
6. Define the term Resolving power of telescope.
7. State Brewster’s law.
8. A 20 cm long tube containing sugar solution rotates the plane of polarization by 11.If the specific rotation of sugar is 60 .Calculate the strength of the solution.
9. What is a meta stable state?
10. Write a short note on stimulated Raman scattering.

# PART-B

Answer ANY FOUR  Questions                                                                        (4X7.5=30 marks)

1. Derive an expression for the net dispersion without deviation using

a direct vision prism.

1. Explain the formation of fringes by an Air wedge. Derive an expression

for the fringe width.

1. What is a Zone plate? Show that it acts as a convex lens.
2. What is meant by double refraction? Give Huygens theory of double refraction

in uniaxial crystals.

1. What are Einstein coefficients? Obtain the relation between them.

PART–C

Answer ANY FOUR Questions :                                                         ( 4×12.5 = 50marks )

1. i) What is system matrix? Analyze the system of thin lenses using the

Matrix  formulation.                                                                                             (7 marks)

1. ii) Derive the condition for achromatism of two thin lenses placed in contact.

(5.5 marks)

1. Describe the Fresnel’s Biprism . Explain how the wavelength of light can be

determined with its help.

1. Describe with necessary theory, Fraunhoffer diffraction due to double slit.

1. i) Explain the principle ,construction, working and uses of Nicol prism

with a neat diagram.                                                                                           (9 marks)

1. ii) What is half wave plate? Calculate the thickness of  Half wave plate of

quartz for a wave length of 5000 A. Given μe=1.553 and μ0=1.554.        (3.5 marks)

1. What is carbon dioxide laser? With necessary diagrams explain the

construction and working of it.

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## Loyola College B.Sc. Physics April 2011 Mechanics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

SECOND SEMESTER – APRIL 2011

# PH 2503 – MECHANICS

Date : 08-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

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

1. When will a compound pendulum have minimum period of oscillation?
2. Define centre of mass.
3. Define couple and moment of couple.
4. Find the position of centre of pressure of a rectangular lamina of width 1mm and height 0.6m

immersed vertically in a liquid with one edge in the surface of liquid.

1. What do you mean by equation of continuity?
2. State Graham’s Law of diffusion of gases.
3. What are generalized coordinates? What is the advantage of using them?
4. State the principle of virtual work.
5. Define Gravitation constant and mention its unit.
6. Define Gravitational potential.

PART – B

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

1. (a) Derive an expression for the period of oscillations of a torsional pendulum.               (5)

(b) Show that the speed of a rocket is twice its exhaust speed when the ratio of initial mass to the

instantaneous mass (M0/M) is e2.                                                                                        (2.5)

1. (a) Define metacentric height. (2)

(b) Explain how the metacentric height of a ship is determined experimentally.                   (5.5)

1. (a) Explain the working of a venturimeter. (5.5)

(b) A venturimeter has a pipe diameter of 0.2m and a throat diameter 0.15m.  The       levels of water column in the two limbs differ by 0.10m.  Calculate the amount of water discharged through the pipe in 30 minutes. Density of water is 1000kg m-3.                                              (2)

1. (a) What are constraints? Give any two examples.                            (2+1)

(b) What is meant by configuration space?   How is this concept used to describe the motion of a system of particles.                                                                                                    (3+1.5)

1. (a) State and explain Newton’s law of gravitation. (4)

(b) How would you find the mass and density of earth using Newton’s law of gravitation?     (3.5)

PART – C

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

1. Describe a Bifilar pendulum with non-parallel threads and discuss the theory to derive an

expression for its period of oscillations.

1. (a) Define centre of pressure.      (2.5)

(b) Determine the position of centre of pressure for a triangular lamina of height h

immersed vertically with (a) its apex and (b) its base in the surface of the liquid.       (5+5)

1. State and prove Bernoulli’s theorem. (2+10.5)
2. Derive Lagrange’s equations of motion from D’Alembert’s principle for a holonomic

conservative system.

1. (a) Derive an expression for the escape velocity of an artificial satellite and prove that it is

equal to √2 times its orbital velocity.                                                                                   (6+3)

(b)      Write a note on weightlessness.                                                                                  (3.5)

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## Loyola College B.Sc. Physics April 2011 Mathematical Physics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FOURTH SEMESTER – APRIL 2011

# PH 4504/PH 4502/PH 6604 – MATHEMATICAL PHYSICS

Date : 07-04-2011              Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

PART-A

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

1. Given z1 = a – i and z2 = a + i fine z1* z2, for any real ‘a’.
2. Verify that f(z) = z is analytic.
3. State two conditions for a function to be Fourier transformed.
4. Define the eigen value problem for the operator
5. Express the Laplacian in polar coordinates.
6. State Cauchy’s integral theorem.
7. Evaluate , ‘c’ is circle of radius 1.
8. State Parseval’s theorem.
9. Write down the difference operator and the shift operator.
10. Write down trapezoidal rule for integration.

PART-B

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

1. a). Show that |z|2 = 1 describes a circle centered at the origin with radius 1.

b). Simplify (1+i)(2+i) and locate it in the complex plane.

1. Verify the Cauchy’s integral theorem for along the boundary of a rectangle with vertices

(0,0) , (1,0), (1,1) and (0,1) in counter clock sense.

1. Find DAlembert’s solution of the wave equation for a vibrating string.
2. If f(s) is the Fourier transform of f(x), show that F{f(ax)} = (1/a)F(s/a) and

F{f’(x)} = is F(s). Here the prime denotes differentiation with respect to ‘x’.

1. Use Euler’s method to solve, given y(0) = 1, find y(0.04) with h = 0.01.

PART-C

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

1. a) Establish that the real and complex part of an analytic function satisfies the Laplace equation.
2. b) Prove that is harmonic and find its conjugate function.                                             (6+6.5)
3. Verify

a). for f(z) = z, with z0 = -1-i and z= 1+i.

b).

for f(z) = 3z and g(z) = -3,  and any real constants c1 and c2.

1. Using the method of separation of variables obtain the solution for one dimensional

heat equation. , with u(l,t) = 0 and u(0,t)=0.

1. a) State and prove convolution theorem for Fourier transforms.
2. b) Find the Fourier sine transform of .
3. Derive the Newton’s forward interpolation formula and deduce the Trapezoidal and Simpson’s rule

for integration.

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## Loyola College B.Sc. Physics April 2011 Electronics – I Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – APRIL 2011

# PH 3504/PH 3502/PH 5501 – ELECTRONICS – I

Date : 12-04-2011              Dept. No.                                                    Max. : 100 Marks

Time : 1:00 – 4:00

PART – A

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

1. State Norton’s theorem.
2. State the conditions for oscillations in an Oscillator.
3. Define β. Show that β= α/ (1-α)
4. For an inverting amplifier using Op-Amp, R1=1K and Rf = 10 K. Assuming the
amplifier to be ideal, calculate the output voltage for an input of 1V.
5. Define CMRR.
6. What is don’t care condition in K- map?
7. Construct the K-map for a 4-variable truth table in which the output is high for the
following input conditions ABCD = 1101, 1010, 0101, 1111
8. What is a Multiplexer?
9. The terminal count of a MOD 13 binary counter is________ a)1111   b) 1101 c) 1100
d) 0100
10. A 4-bit asynchronous counter uses Flip-Flops of propagation delay time 20 ns each.
The maximum possible time required for change of state is  _________

a)60 ns   b) 20 ns   c)80 ns   d)40ns

PART – B

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

11.a)  Derive the condition for transfer of maximum power from a source to a load. (4)

1. b) A generator develops 200 V and has an internal resistance of 100 Ω. Find the
power delivered to a load of 100 Ω. What is the efficiency?  (3.5)
2. With a neat diagram, explain the construction and working of a phase shift oscillator.
3. Derive expressions for the gain of inverting and non-inverting amplifiers using Op-
Amp.                                                                                                                                             (3+4.5)

1. Draw the logic circuit of a Master- Slave flip-flop and explain its working. How is the
race around problem overcome?
2. Explain with theory, the working of MOD7 asynchronous UP counter.

PART – C

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

1. Give the equivalent circuit of a CE amplifier using h- parameters. Hence derive expressions for Ai, Av and Zi in terms of h-parameters.   (4+8.5)
2. a) Explain the construction and working of Bistable Multivibrator with a neat diagram.
3. b) A  potential divider circuit has the following values. IE = 2mA, IB = 50 µA , VBE =
2 V, RE= 1 k and R2 = 10 k and VCC = 10V. Find the value of R1.                                                  (8+4.5)
4. a) Explain the working of averaging amplifier using Op-Amp.
5. b) Solve the given simultaneous equations using Op-Amps.

2  X  +   3Y =  14  and  2 X  – Y  = 4                                                                                       (5+7.5)

1. Simplify the Boolean function

F(A,B,C,D)   =  Σm (  1,3,7,11,15)  + Σd  (0,2,5 )

Implement the simplified expression as a logic diagram with only two input NAND
gates only.                                                                                                                                     (6+6.5)

1. Write detailed notes on:
2. a) Shift registers b) Read Only Memory and     c) Random Access Memory.            (4.5+4+4)

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## Loyola College B.Sc. Physics April 2011 Electricity & Magnetism Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – APRIL 2011

# PH 5508/PH 5505/PH 4500 – ELECTRICITY & MAGNETISM

Date : 18-04-2011              Dept. No.                                                    Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

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

1. Define capacitance of a capacitor.
2. What is meant by dielectric constant of a medium?
3. What is Thomson effect?
4. State Faraday’s laws of electrolysis
5. A circular coil has a radius of 0.1m and number of turns 50. Calculate the magnetic induction at a distance of 0.2m from the centre when a current of 0.1 A flows in it.
6. Calculate the self inductance of 1m long solenoid of 400 turns and 5 cm diameter.
7. Explain time constant in L-R circuit.
8. Obtain the expression for the mean value of a.c. in terms of the peak value.
9. Define magnetic susceptibility.
10. Define Poynting vector.

PART – B

1. State Gauss theorem. Apply it to calculate the electric intensity at a point (i) inside the charged sphere  (ii) outside the charged sphere.
2. Describe the experimental method of determination of specific conductivity of an electrolyte using Kohlrausch bridge.
3. Discuss the theory of Helmholtz galvanometer.
4. Discuss the decay of charge in a capacitative circuit.
5. Using Maxwell’s equations determine the velocity of electromagnetic waves in free space.

PART – C

1. a) Obtain an expression for the capacity of a cylindrical condenser.
1. b) A cable of wire 3 x 10-3 m in diameter and insulated with 3 x 10-3 m of gutta- percha

(relative permittivity = 4.26 ) is placed in water. Calculate the capacity

for 5 km length of the cable.

1. Describe the construction and working of a potentiometer and explain how it can

be used to calibrate the given (i) voltmeter       (ii) an ammeter.

1. With necessary theory, explain the working of a moving coil galvanometer. Show     how to correct the observed throw for damping.
2. Discuss the theory of parallel resonance circuit and compare it with series resonance circuit.
3. Compare the characteristic feature of  diamagnetism, paramagnetism and ferromagnetism.

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