B.Sc Corporate Physics Question Paper 2012

Loyola College B.Sc. Physics Nov 2012 Physics For Mathematics – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2012

PH 3104 – PHYSICS FOR MATHEMATICS – I

 

 

Date : 07/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL questions                                                                                                 (10×2=20)

  1. What are cyclic coordinates?
  2. Sketch the distance – time and velocity – time graph for uniformly accelerating mmotion.
  3. State Newton’s law of gravitation.
  4. An electron of rest mass 9.1 ×10-31 Kg is moving with a speed of 0.99c. What is its total energy?
  5. Define coefficient of viscosity of a liquid.
  6. Define Poisson’s ratio. Give its theoretical limiting values.
  7. Draw the circuit diagram of an Op-amp based Inverting amplifier.
  8. Simplify Y=
  9. State the postulates of special theory of relativity.
  10. Explain the term ‘frame of reference’

PART – B

Answer any FOUR questions                                                                                       (4×7.5=30)

  1. (i) What are generalized coordinates? (2)

(ii) What are constraints? Explain the different classification of constraints with examples.(5.5)

  1. Deduce Einstein’s mass – energy equivalence relation.
  2. Show that the excess of pressure inside a soap bubble is.
  3. (i) Simplify using K map: Y=F(A,B,C,) = Σ (0,2,4,6,7) (2.5)

(ii) With a neat circuit diagram explain the working of a half adder.                  (5)

  1. On the basis of Lorentz transformation, derive the expressions for length contraction and time dilation.

PART – C

Answer any FOUR questions                                                                                       (4×12.5=50)

  1. Setup and solve Lagrange’s equation for (i) simple pendulum and (ii) Atwood’s machine
  2. Describe in detail the Cavendish method for determining G.
  3. Obtain the relation connecting the three modulii of elasticity.
  4. With a neat circuit diagram explain the working of an Op-amp based Inverting summing amplifier, integrator and differentiator. (4+4+4.5 marks)
  5. Explain the construction and working of Michelson’s Morley experiment. Discuss the results.

 

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Loyola College B.Sc. Physics Nov 2012 Optics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – NOVEMBER 2012

PH 5509/5506/3500 – OPTICS

 

 

 

Date : 06/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A

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

  1. What are unit planes of a lens system?
  2. Two lenses of focal lengths 7cm and 3cm are placed at a certain distances apart. Calculate the distance between the lenses for the achromatic combination.
  3. What is antireflection coating?
  4. Mention the applications of Michelson’s interferometer.
  5. Distinguish between Fresnel and Fraunhofer types of diffraction.
  6. What is Rayleigh’s condition for resolution?
  7. State and explain Brewster’s law.
  8. What is a half wave plate? Mention its action on a plane polarized light incident on it.
  9. What are the essential components of a laser?
  10. What is meant by second harmonic generation?

 

PART – B

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

  1. (a) What is spherical aberration? (2)

(b) Obtain the condition for minimizing spherical aberration in the case of two coaxial lenses

separated by a distance.                                                                                              (5.5)

  1. (a) What are coherent sources?                                                                                      (2)

(b)  How would you determine the wavelength of light using Lloyd’s mirror experiment? (5.5)

  1. (a) What is a zone plate?                                                                                                    (2.5)

(b)     Compare it with a convex lens.                                                                                     (5)

  1. Explain the production of elliptically and circularly polarized light.   (3.5+4)
  2. Write a note on stimulated Raman scattering.

 

 

 

PART – C

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

  1. (a)  Derive the conditions for the combination of two narrow angled prisms to produce

(i) dispersion without deviation and    (ii) deviation without dispersion.           (5+5)         (b) A telescope objective of focal length 1.5m is an achromat made of two lenses whose

materials have dispersive powers 0.018 and 0.027.  Calculate the focal lengths of the two

lenses.                                                                                                                                (2.5)

  1. (a) Describe the construction and working of Fabry-Perrot interferometer.                  (3.5+5)

(b)   Explain how it can be used to determine the wavelength of light.                                 (4)

  1. (a) Give the theory of a diffraction grating.                                                                      (7.5)

(b) Describe, in detail, how you would use a transmission grating for measuring the

wavelength of light.                                                                                                         (5)

  1. (a) Define specific rotation.                                                                                                  (2)

(b)  Explain how it is experimentally determined using Laurent’s half shade polarimeter.

(8.5)

(c) Determine the specific rotation of the given sample of sugar solution if the plane of

polarization is turned through 12º and the length the tube containing 10% sugar solution

is 25cm.                                                                                                                            (2)

  1. (a) What is population inversion?      (2)

(b) Describe the construction and working of CO2 laser with neat diagrams.                  (3.5+7)

 

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Loyola College B.Sc. Physics Nov 2012 Mechanics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

SECOND SEMESTER – NOVEMBER 2012

PH 2503 – MECHANICS

 

 

 

Date : 07/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

PART –A

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

 

  1. State the law of conservation of angular momentum . Give an example .
  2. What is a rigid body?
  3. Distinguish between couple and Torque with an example.
  4. A ship of mass 2×104 kg is displaced .A load of 30×106 kg moved across 50 metres  across  the

deck makes the ship tilt through /100 radians.  Calculate the metacentric height.

  1. What is the molecular weight of a gas which diffuses 1/50 as fast as hydrogen?
  2. State Toricelli’s theorem.
  3. Draw a neat diagram of a venturimeter.
  4. State D’Alembert’s principle.
  5. State and explain Kepler’s 2nd law of planetary motion.
  6. Explain weightlessness in a moving lift.

PART-B

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

 

  1. Explain how the oscillations of a compound pendulum can be used to determine  the acceleration

due to gravity  in the laboratory .

  1. a) What is meant by centre of pressure ?       (3marks)
  2. b) Calculate the centre of pressure of a rectangular  lamina of sides a and b.                      (4.5marks)
  3. State and prove Bernoulli’s theorem. (2+5.5 marks)
  4. Discuss the motion of a simple pendulum from Langrange’s equations.
  5. Distinguish between orbital and escape velocity.           (4marks)

Calculate the escape velocity of a body on the earth from the  given the following data:       (3.5 marks)

(Acceleration due to gravity g = 9.8 ms-2 ;  radius of earth RE = 6400 km)

 

PART-C

Answer any  FOUR questions:                                                                               (4X12.5 =50MARKS)

 

  1. (a) Show that the time period of a torsion pendulum is given by 2 I/C.                        (8marks)

 

 

 

(b) A thin  uniform rod of length 1.2meter and breadth 0.12m is made to swing in a vertical plane

about an axis thro’ a point A at a distance  x from the centre of gravity. Find the value of  x  if the

period of oscillation is a minimum.                                                                                      (4.5marks)

 

  1. a) Draw a diagram of a floating body to show meta centre and metacentric height.  (3 marks)
  2. b) Discuss the stability of floating bodies with respect to the above terms.                            (3marks)
  3. c) Explain how the metacentric height of a ship be determined .         (6.5marks)

 

  1. a) State and explain the equation of continuity.         (5marks)
  2. b)  Derive an expression for the terms potential head and kinetic head.                                  (4marks)
  3. c) Water flowing with a velocity of 3m/s in a 4cm diameter pipe enters a narrow pipe having a

diameter  of only  2 cm. Calculate the velocity in the narrow pipe.                                     (3.5marks)

 

  1. a) Define with an example the terms.       (6 marks)
  2. i) degee of freedom
  3. ii) constraints

iii) holonomic and non holonomic  systems

 

b)Derive Newton’s equation for force from  the Lagrangian.                                        (6.5 marks)

 

  1. a) Explain gravitational potential. Hence derive an expression for gravitational potential at a

point, distant r from a body of mass  m.                                                                       (3+5 marks)

 

  1. b) Assuming the earth to be a homogenous sphere and using the laws of gravity estimate the

density of the earth. G=6.6X10-11  N( m/Kg )2  and radius of the earth is 6400 km.        (4.5marks)

 

 

 

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Loyola College B.Sc. Physics Nov 2012 Mathematics For Physics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIRST SEMESTER – NOVEMBER 2012

MT 1100 – MATHEMATICS FOR PHYSICS

 

 

Date : 03/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

 

SECTION A

ANSWER ALL THE QUESTIONS:                                                                                         (10×2 =20)

 

  • Find the nth derivative of.
  • Write down the formula for subtangent and subnormal.
  • Prove that .
  • Find the rank of the matrix.
  • Show that .
  • State the formula for Laplace transformation of a periodic function.
  • Write down the expansion for.
  • If Show that
  • What is the chance that a leap year selected at random will contain 53 Sundays?
  • Define Binomial distribution.

 

SECTION B

ANSWER ANY FIVE QUESTONS:                                                                               (5×8 =40)

 

  • Find the angle of intersection of cardioidsand.
  • Find the minimum and maximum value of the function.
  • Find the sum to infinity series.
  • Show that the system of equations

 

are consistent and solve them.

  • Find the L(f(t)) if
  • Find a)   b) .
  • Prove that cos8θ = 1- 32sin2 θ + 160sin4 θ-256sin6 θ+128 sin8 θ.
  • Find the moment generating function for the Poisson distribution and hence find its

mean and variance.

 

SECTION C

ANSWER ANY TWO QUESTIONS:                                                                                  (2×20 = 40)

  • a) If then Prove that. b) Find the nth derivative of. (10+10)
  • If then
  1. a) Find the characteristic value and characteristic vector of the matrix.
  2. b) Verify Cayley Hamilton Theorem and find A-1. (10+10)
  • a) Express cos5θ sin3θ in terms of sines of multiples of θ.
  1. b) Separate into real and imaginary parts of tan-1(α+iβ). (10+10)
  • a) Solve with using Laplace transform.
  1. b) An urn contains 6 white, 4 red and 9 black balls. If 3 balls are drawn at random, find the probability that: (i) two of the ball drawn is white; (ii) one is of each colour,

(iii) none is red.

(14+6)

 

 

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Loyola College B.Sc. Physics Nov 2012 Mathematics For Physics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2012

MT 3102/3100 – MATHEMATICS FOR PHYSICS

 

 

Date : 07/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION A

ANSWER ALL QUESTIONS.                                                                               (10 x 2 = 20)

  1. Find the nth derivative of .
  2. Find the slope of the curve at .
  3. Write the expansion for .
  4. Find the rank of the matrix .
  5. Find the Laplace transform of .
  6. Find .
  7. Write down the expansion of in powers of .
  8. Show that .
  9. Two dice are thrown. What is the probability that the sum of the numbers is greater than 8?
  10. Define Normal distribution.

 

SECTION B

ANSWER ANY FIVE QUESTIONS.                                                                 (5 x 8 = 40)

  1. Find the nth differential coefficient of .
  2. Find the maximum value of for positive values of x.
  3. Find the characteristic roots of the matrix .
  4. Find the Laplace transform of .
  5. Express in a series of sines of multiple of .
  6. Four cards are drawn at random from a pack of 52 cards. Find the probability that

(i) they are a king, a queen, a jack and an ace.

(ii) two are kings and two are queens.

(iii) two are black and two are red.

  1. A car hire firm has two cars, which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson distribution with mean 1.5. Calculate the proportion of days on which (i) neither car is used, (ii) the proportion of days on which some demand is refused.
  2. X is a normal variable with mean 30 and standard deviation 5. Find the probabilities that

(i) 26  X  40, (ii) X  45.

 

SECTION C

ANSWER ANY TWO QUESTIONS.                                                                 (2 x 20 = 40)

  1. (a) If , then prove that .

(b) Find the length of subtangent and subnormal at any point t on the curve  and .                                                        (12 + 8)

  1. (a) Verify Cayley-Hamilton theorem for the matrix and also find .

(b) Find the sum to infinity of the series . (12 + 8)

  1. (a) Express in terms of .

(b) Find the mean and standard deviation for the following data:

x 10 20 30 40 50 60
f 15 32 51 78 97 109

(10 + 10)

  1. (a) Solve the equation given that when .

(b) Ten coins are thrown simultaneously. Find the probability of getting at least seven

heads?                                                                                                                   (12 + 8)

 

 

 

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Loyola College B.Sc. Physics Nov 2012 Mathematical Physics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FOURTH SEMESTER – NOVEMBER 2012

PH 4504/4502/6604 – MATHEMATICAL PHYSICS

 

 

 

Date : 03/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

PART-A

 

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

 

  1. If z* = – z, what can you conclude about ‘z’?
  2. What is the geometrical meaning of the curve |z| = r.
  3. Show =2πi. Where ‘c’ is a circle of unit radius, with centre at (0, 0)
  4. Define the eigenvalue problem for the operator.
  5. Show u = x + ct satisfies the equation .
  6. What is singular point of a complex function in a region?
  7. Write down a homogeneous first order partial differential equation in two variables.
  8. Define Fourier sine transform of the function f(x).
  9. Write down the backward difference operator for f(x) by ‘h’.
  10. Write down Simpson’s 1/3 rd rule for integration.

 

PART – B

 

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

 

  1. a). Plot the function x + i y for (x,y) varying in the region (0,1).

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

  1. If ‘c’ is a line segment from -i to +i , evaluate .
  2. Discuss the D’Alembert solution of the wave equation.
  3. If f(s) is the Fourier transform of f(x), show that F{f(ax)} = (1/a)F(s/a) and

F(s). Here the prime denotes differentiation with respect to ‘x’.

  1. Deduce a second order polynomial using Newton interpolation formula for:

(x,y): (0,0),(1,3),(2,9).

PART-C

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

 

  1. Deduce the Cauchy Riemann conditions in polar coordinates for complex function, to be analytic and

establish that analytic function satisfy Laplace’s equation.

  1. a). State and prove Cauchy’s integral formula

b). Verify the Cauchy’s integral theorem for , where c is a circle of radius 1.

  1. Discuss the solution of the two dimensional Laplace equation.
  2. a). State and prove convolution theorem for the Fourier transforms.

b). Find the Fourier sine transform of .

  1. For the following data evaluate by (i) Trapezoidal rule,

(ii) Simpson’s 1/3 rd rule.

 

(x, f(x)): (1, 2.105) (2, 2.808) (3, 3.614) (4, 4.604) (5, 5.857) (6, 7.451) (7, 9.467).

 

 

 

 

 

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Loyola College B.Sc. Physics Nov 2012 Material Science Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – NOVEMBER 2012

PH 5405 – MATERIAL SCIENCE

 

 

Date : 10/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL questions:                                                                                                            (10×2=20)

  1. Why do solids expand on heating?
  2. State Why ionic and covalent bonded solids are bad conductors of heat and electricity?
  3. State Bragg’s law of X-ray diffraction.
  4. What is Frenkel defect?
  5. What are elinvars?
  6. What is meant by work – hardening?
  7. Mention the popular radiographic methods of NDT.
  8. Draw the schematic diagram of metallurgical microscope.
  9. How are materials classified according to their magnetic susceptibility?
  10. State why ferroelectric materials exhibit hysteresis?

PART – B

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

  1. Write a note on secondary bond formation in different kinds of materials.
  2. With neat sketches discuss the formation of edge and screw dislocations.
  3. Draw the stress – strain curve for a plastic material and explain the various regions of interest. Why does the experimental result deviate from the theoretical one for large stress?
  4. With schematic diagram describe how ultrasonic method is effective in detecting cracks and cavities in a material. What are the advantages of the method?
  5. Write notes on ferro, ferri and antiferro magnetic materials.

PART – C

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

  1. Demonstrate with the necessary potential energy curve, the different equilibriums of a tilting rectangular block.
  2. What is meant by enthalpy of formation? How does imperfection affect the enthalpy of the system? Obtain an expression for the concentration of crystal imperfections in terms of the enthalpy of formation.
  3. With necessary diagram, discuss the atomic model of elastic behavior and obtain the relation connecting Young’s modulus Y, rigidity modulus K, bulk modulus G and Poisson’s ratio σ.
  4. Draw the sketch of a scanning electron microscope and discuss its working.
  5. What is meant by polarization? What are the different kinds of polarization? Explain their frequency dependence with suitable diagram.

 

 

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Loyola College B.Sc. Physics Nov 2012 Electronics – II Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – NOVEMBER 2012

PH 5404 – ELECTRONICS – II

 

 

Date : 08/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A

Answer ALL questions:                                                                                                                  (10×2=20)

  1. Draw the circuit of an operational amplifier based differentiator.
  2. List any two advantages of an instrumentation amplifier.
  3. Write a brief note on resolution of a D/A converter.
  4. Mention the disadvantages of binary weighted resistor D/A converter?
  5. What is meant by the term encapsulation in IC terminology?
  6. What are the various scales of integration?
  7. Write a note on various interrupts available in µP8085.
  8. Give two examples of data transfer instructions in µP8085.
  9. What are the advantages of Assembly language programs over Machine language programs?
  10. Write an ASP to get a number in Register A and copy it onto Registers B and C.

 

PART – B

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

  1. Explain the design and working of an integrator using Op-amp.
  2. With relevant sketch explain the working of R-2R ladder D/A converter.
  3. With a neat sketch explain how (i) a transistor and (ii) a capacitor are fabricated as IC components.                                          (4 + 3.5)
  4. Discuss with examples the various status flags available in µP8085.
  5. Write an assembly language program in µP8085 to sort an array of 8-bit numbers in ascending order.

 

PART – C

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

  1. Explain the working of an Op-amp based astable multivibrator with a neat diagram.
  2. Explain the design and working of,
  3. a) parallel A/D converter and b)  successive approximation A/D converter.   (6 + 6.5)
  4. Explain in detail the basic processes involved in monolithic IC technology.
  5. Draw the block diagram of µP 8085 and explain its internal architecture in detail.
  6. Write an assembly language program to evaluate the expression (m + n) * (x/y) using a subroutine for division.

 

 

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Loyola College B.Sc. Physics Nov 2012 Electricity & Magnetism Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FIFTH SEMESTER – NOVEMBER 2012

PH 5508/5505/4500 – ELECTRICITY & MAGNETISM

 

 

 

Date : 03/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A

Answer ALL   questions:                                                                                                     (10X 2 = 20)

 

  1. Explain electric dipole and electric dipole moment.
  2. Calculate the energy required to charge in air a metallic sphere of radius 2m to a potential

of 3000 volts.

  1. Define Peltier coefficient.
  2. State Kirchoff’s laws of current electricity.
  3. State Biot –Savart’s law.
  4. Determine the magnetic intensity at a distance of 10 cm due to a long straight conductor

carrying a current of 75A.

  1. Calculate the time of leakage if the charge on a capacitor of capacitance 4 microfarad in leaking through a resistance of 100 megaohms is reduced to half its maximum value.
  2. Why is shock from ac more severe than that from dc?
  3. Define magnetic permeability. Write the relation between relative permeability and susceptibility
  4. Write Maxwell’s equations.

 

 

PART B

 

Answer any  FOUR  questions:                                                                                               (4 x7. 5  = 30 )

 

  1. Obtain an expression for torque and the potential energy of a dipole placed in a uniform

electric field.                                                                                                                                 (4+3.5)

  1. Describe the Kohlausch bridge method to determine the specific conductivity of an electrolyte.
  2. Obtain an expression for the force on a current carrying conductor placed in a magnetic field.
  3. A resistance R and a 4µF capacitor in series are connected to a 200 volt direct supply. Across the capacitor is a neon lamp that strikes at 120 volts. Calculate the value of R to make the lamp strike 10 seconds after switch has been closed.
  4. With help of Maxwell’s equations show that electromagnetic waves are transverse in nature.

 

PART – C

 

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

 

 

  1. (a) Obtain an expression for the capacitance of a parallel plate capacitor.     (5)

(b) What will be the capacitance if the space between the plates is partially filled with a slab of

thickness d and relative permittivity εr?                                                                                     (7.5)

  1. What is a thermo – electric diagram? Explain how Peltier and Thomson emf’s, neutral temperature and temperature of inversion can all be determined using the diagram.                                (3 + 9.5)
  2. (a) Describe the construction of a moving coil galvanometer. Obtain an expression for the quantity of

charge flowing through it.                                                                                                      (3+6)

(b) Explain damping correction.                                                                                                      (3.5)

  1. .Describe the principle, construction and working of a three phase ac generator.
  2. .Discuss Langevin’s theory of para magnetism.

 

 

 

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