Comment on the following statement: “For a binomial distribution, the mean and variance are found to be 5 and 10 respectively “
Define: ‘Parameter’.
Mention any two uses of t-distribution.
What is the need for non-parametric tests?

SECTION B

Answer any five questions. (5×8=40)

Calculate mean, median and mode for the following data:

Hourly wages(Rs): 66-68 68-70 70-72 72-74 74-76 76-78

No. of persons: 15 24 40 20 14 11

Write short notes on: i.) Standard deviation ii.) Quartile deviation.
a.) A group consists of 100 men and 80 women out of which 40 men and 50 women are graduates.

If one person is selected at random from the group, find the probability that the person is either

a woman or a graduate.

b.) A bag contains 5 white and 3 black balls. Two balls are drawn at random. Find the probability

that

i) One is white and the other is black
ii) Both are black

The probability that a student having a recommended book for study is 0.8. Three students are selected at random from a large group of students.

Find the probability distribution of the number of students having the book
Calculate the mean and variance of the distribution.

Let X be a normally distributed random variable with mean 14 and variance 20. Find a ) P(X>18)

b) P(12<X<16)
c) P(X< 20)

Write short notes on:

Type I and Type II errors.
Steps involved in testing of a hypothesis

The wages of 10 workers selected at random from a factory are given below:

Wages ( In Rs ) : 578 572 570 568 572 578 570 572 596 584

Is it possible that the mean wage of all workers of this factory is Rs.580? Test at 5% level.

Explain Wilcoxon test to test the equality of median of two populations.

SECTION C

Answer any two questions. (2×20=40)

a.) Find the geometric mean for the data given below:

Marks: 4-8 8-12 12-16 16-20 20-24 24-28.

Frequency: 6 10 18 30 15 12

b.) Use Box – Plot to examine the Skewness of the following frequency distribution:

No. of children per family: 0 1 2 3 4 5 6 No. of families: 7 10 16 25 18 11 8

c.) What are percentiles? How are they interpreted? (8+8+4)

a.) i.)Give axiomatic and relative frequency definition of probability.

ii.)State the addition rule of Probability.

iii.) Define conditional Probability

b.) The screws produced by a certain machine were checked by examining

samples each of size 12. The following table shows the distribution of 128 samples according to the number of defective items they contain.

No.of Defectives	0	1	2	3	4	5	6	7
No.of Samples	7	6	19	35	30	23	7	1

Fit a binomial distribution and find the expected frequencies

Given P(X=1) = P( X=2) , where X~ Poisson ( λ ), find P ( X=3 ) (8+8+4)

a.) In one section of a large city, 200 out of 250 residents have Myopia. In another section, , 120

out of 200 residents have the same. Using 5% level of significance, could it be concluded that

there is no difference between these two sections of the city in terms of Myopia.

b.) The following data present the yields in quintals of wheat taken randomly from two

agricultural plots of equal area.

Plot 1: 6.2 5.7 6.5 6.0 6.3 5.8 5.7 6.0 6.0 5.8

Plot 2: 5.6 5.9 5.6 5.7 5.8 5.7 6.0 5.5 5.7 5.5

Test the equality of variance of yields from these agricultural plots at 5% level. (8+12)

a.) Let X and Y denote the times in hours per week that students in two

different schools watch television. Let F(x) and G(y) denote the respective distribution functions. Use runs test to test the hypothesis

H₀: F(x) = G(y) Vs H₁: F(x) < G(y) at 5% level, using the following random sample of 10 observations from each school.

X: 16.75 19.25 22.00 20.50 22.50 15.50 17.25 20.75 18.60 21.30

Y: 24.75 21.50 19.75 17.50 22.75 23.50 13.00 19.00 16.45 15.50

b.) Consider a population with N=6 units, the values being 20,30,22,20,11,14. Select all

possible samples of size 2 and verify whether the sample range is an unbiased estimator for

the population range. (12+8).

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Loyola College B.Sc. Plant Biology & Adv Zoology April 2009 Principles Of Horticulture Question Paper PDF Download

October 27, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

VE 02

B.Sc. DEGREE EXAMINATION – PLANT BIOLOGY & PLANT BIO-TECH.

FIRST SEMESTER – April 2009

PB 1504 – PRINCIPLES OF HORTICULTURE

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

PART – A

Answer ALL, each within 50 words: (10 x 2 = 20 Marks)

What is meant by Sexual Propagation?
Define Agriculture
Discuss about drip irrigation
Mention four Indoor plants studied by you
What is Olericulture
Distinguish between arches and pergolas
What are medicinal plants? Mention two examples
Mention four important species used as cut flower
Describe mist chamber
Describe the principles of layering

PART – B

Answer any FIVE of the following each within 350 words. Draw diagrams Wherever necessary. (5 x 8 = 40 Marks)

a) Discuss the importance of Horticulture

(or)

b) Describe the general classification of vegetable crops

a) Write notes on Hedges and edges

(or)

b) Bring out the salient features of Hydroponics. Add a note on its merits and demerits.

a) Write notes on bonsai and its types.

(or)

b) Describe the types of vegetative propagation

a) Write notes on Topiary and Ikebana

(or)

b) Describe the Various methods of flower arrangements

a) Describe the Botanical features of any two famous gardens of South India.

(or)

b) Discuss about Grafting

PART – C

Answer the following, each within 1500 words. Draw diagrams wherever necessary:

(2 x 20 = 40 Marks)

a) Explain the nursery structure

(or)

b) Give a detailed account of rose cultivation

a) Write an essay on Organic forming

(or)

b) Write notes on:
Rock garden 2. Roof garden 3. Terrace garden 4. Water garden

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Loyola College B.Sc. Plant Biology & Adv Zoology April 2009 Plant Diversity – II (Pteri.,Gymno.,& Paleobot.) Question Paper PDF Download

October 27, 2017 by 01 prakash

VE 04

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PLANT BIOLOGY & PLANT BIO-TECH.

SECOND SEMESTER – April 2009

PB 2504/PB 2502 – PLANT DIVERSITY – II (PTERI.,GYMNO.,& PALEOBOT.)

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

PART – A ( 20 MARKS)

Choose the correct answer: (5 x 1 = 5)
TRANSFUSION tissue is found in.
Azolla Marsilea c. Pinus d. Cycas
Circinate vernation is seen in
Rhynia Gnetum c.Pinus d. Cycas
Polyembryony is seen in
Pinus Adiantum c. Azolla d. Marsilea
Lycopodium is referred to as
Horsetail Peatmoss c. Rockmoss d. Clubmoss
Calamites is from the order.
Equisetales Selaginellales c. Lepidodendrales d. Psilophytales

STATE WHETHER THE FOLLOWING STATEMENTS ARE TRUE OR FALSE:

(5 x 1 = 5)

Pteridophytes are known as Vascular Cryptogams.
The most highly evolved among Gymnosperme is Gnetum.
Vegetative reproduction in Psilotum is not by Gemmae.
In Gymnosperms in the Pycnoxylicwood, the pith & cortex get much reduced, and in Mano Xylic wood, pith is larger and Cortex is extensive.
The members of Cordaitales were group of Tree like plants.

COMPLETE THE FOLLOWING: (5 x 1 = 5)

In pteridophyte, a spone, on germination grows into a ___________________, which is a gametophyte.
Rhynia belongs to the order______________.
The Maiden Hair Fem is ______________.
In Lycopodium the genus is divided into Urostachya and _______________.
In _______________ plant, the foliage leaves are aciculars.

ANSWER ALL THE QUESTIONS, EACH WITHIN 50 WORDS ONLY: (5 x 1 = 5)
Mention any 2 Indian Species of Cycas.
Mention 2 angiospermic characters of the Ovule of Gnetum.
What is a Megasporophyll?
Mention any one Fem characters of Marsilea.
Where do you find the Vallecular Canals and Carinal Canals?

PART – B

ANSWER THE FOLLOWING, EACH ANSWER WITHIN 500 WORDS, DRAW DIAGRAMS WHEREVER NECESSARY: (5 x 7 = 35)

a) Write notes on Lepido dendron

(OR)

b) Describe the Sporocarp of Marsilea.

a) Describe the anatomy of Pinus Needle.

(OR)

b) Write about the Coralloid root of Cycas.

a) What are the different types of Fossils?

(OR)

b) Write down the General characters of Benne ttitales.

a) Describe the Gametophyte of Equisetum.

(OR)

b) Write about the origin of Pte ridophytes.

a) Discuss the salient features of coniferales.

(OR)

b) Explain the salient aspects of Psilophyta

PART – C

ANSWER ANY 3 QUESTIONS. EACH WITHIN 1200 WORDS, DRAW DIAGRAMS WHEREVER NECESSARY. (3 x 15 = 45)

Write an Essay on the stelar system in Pteridophytes.

Describe the female cone and the structure of ovule in Pinus.

Describe the Fossil plants: 1) William Sonia

2) Calamites

3) Rhynia

Compare the Strobilus of Lycopodium and Equisetum.

Write Notes on the following:
a) General characters of gymnosperm
b) Salient Features of Cordaitales
c) How to determine the age of fossils?

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

October 27, 2017 by 01 prakash

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

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

SECTION – B

Answer any four questions. 4 × 7.5 = 30 Marks

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

Cp=961.4Jkg^-1K^-1and density is 1.293kg/m³at NTP. (2.5 marks)

Using first law of thermodynamics arrive at the equations for isothermal and adiabatic changes.
(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^-1K^-1 . (3.5 marks)
Define solar constant. Describe an experiment to determine it. (2 + 5.5 marks)

SECTION-C

Answer any four questions. 4×12.5 = 50 Marks

Derive an expression for the thermal conductivity of a gas, Explain how the thermal conductivity varies with pressure and temperature.
(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)

Derive the Maxwell’s thermodynamic relations.
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

October 27, 2017 by 01 prakash

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)

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

(1, 1, 2) planes.

Write Laue equations.
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?

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

PART B

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

What are Miller indices? How are they determined?
Write note is on Neutron diffraction.
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.

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.

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

PART C

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

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.

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

draw backs.

a) Derive an expression for the Fermi energy of a free electron gas in three dimensions. (8)
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)

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

October 27, 2017 by 01 prakash

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)

State Heisenberg’s uncertainty principle. Give a mathematical form of the principle.
What is Compton effect?
Define probability current density.
What is tunnel effect?
Show that [ L_x,L_y] = iħL_z.
Express the operator for angular momentum component L_xin spherical polar coordinates.
What are inertial and non – inertial frames of references?
At what speed is a particle moving if the mass is equal to three times its rest mass?
What is Mach’s principle?
State the postulates of General theory of relativity.

SECTION – B

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

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

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

Solve the Schrödinger equation for the linear harmonic oscillator and obtain its energy levels. (5.5+2)
(a) What is a Hermitian operator? (2.5)
- Show that the eigen values of Hermitian operators are real. (5)
(a) Derive Einstein’s mass – energy relation. (5.5)
- Explain mass – energy equivalence with two examples. (2)
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)

(a) What are matter waves? (2)

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

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

Schrodinger equation. (6.5+6)

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)
(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)

(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

October 27, 2017 by 01 prakash

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)

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

velocity.

What is a normalized wave function?
Express the potential function of a particle in a box of width ‘ ’ and of infinite height.
Explain the commutative property of operators with an example.
Write down the eigen value equation for L².
Show that acceleration is invariant in all inertial frames, according to classical relativity.
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.

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

PART – B

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

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

of such waves. (4.5)

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

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

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

perfectly rigid walls.

Evaluate [x,P_x] and [L_x,L_y] (3.5+4)

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

comparable to that of light. (5)

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

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)

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

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

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

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

and eigenfunctions. (9)

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

Solve the Schrodinger’s equation for a hydrogen atom.

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

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

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

October 27, 2017 by 01 prakash

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

October 27, 2017 by 01 prakash

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)

State Newton’s second law of motion and obtain the unit of force.
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.
Give the expression for the energy stored in a stretched wire.
State Hooke’s law.
Write a brief note on lubricants.
State Graham’s law of diffusion.
Give two examples of Transport phenomena.
What are intensive and extensive variables?
Define the concept of entropy.
Define latent heat of vaporization and write its unit.

PART- B

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

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

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

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)

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

PART- C

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

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

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)

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

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

surface. (8.5)

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

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

Deduce the Maxwell’s thermo dynamical relations.

a) Explain Joule-Kelvin experiment. (6)

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

October 27, 2017 by 01 prakash

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)

What are Unit planes and Nodal planes?
What is achromatism?
What are coherent sources?
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 .
What is half period zone?.
State Rayleigh’s criteria for just resolution.
Write any two applications of Brewster’s Law?
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.
Write a short note on second Harmonic generation.
What do you mean by spontaneous and stimulated emission?

PART B

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

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

light..

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.

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

i) System Matrix
ii) Focal length

iii)Unit planes.

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..

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

October 27, 2017 by 01 prakash

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

What do you mean by Nodal points and Nodal planes?
What is chromatic aberration of a lens?
Compare the interference fringes produced by biprism with those produced by Lloyd’s mirror.
How would you test the planeness of a surface optically?
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.
Distinguish between Fresnel and Fraunhoffer diffraction.
What is a half – wave plate?
State the law of Malus.
What do you understand by stimulated emission? Mention its importance.
What do you understand by nonlinear optical phenomenon?

SECTION – B

Answer any four questions. 4 × 7.5 = 30 Marks

(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)

Describe Fresnel’s biprism method to determine the wavelength of light . (7.5)
(a) What is a zone plate? (2.5)
- What are the differences between a zone plate and a convex lens? (5)
How would you produce and detect elliptically polarized light? (4.5+3)
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

(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)

(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)

(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)

(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)

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

calculate the concentration of the solution. (2)

(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)

Define linear momentum. Give its unit.
Show points of suspension and oscillation are interchangeable.
Define center of gravity.
What are concurrent forces?
State Torricelli theorem.
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).

Define the concept of Degrees of freedom.
State D’Alembert’s principle.
State the postulates of special theory of relativity.
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)

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

PART C

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

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

of a ship?

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

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

Derive the Lorentz transformation equations.

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

October 27, 2017 by 01 prakash

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)

Define centre of oscillation and centre of suspension.
What is a compound pendulum?
Explain concurrent forces.
Define centre of gravity.
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.
State Torricelli’s theorem.
What are generalized coordinates?
Explain constraints with an example.
State Newton’s universal law of gravitation.
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)

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

acceleration of the system.

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)

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)
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)

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

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

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

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

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

October 27, 2017 by 01 prakash

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)

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

respectively. Find the relative velocity.

Define centre of gravity.
State the laws of floatation.
What are holonomic and nonholonomic constraints?
Define conservative and non conservative systems.
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?

State the laws of vibrations of a transverse string.
What is piezoelectric effect?
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)

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

of the system.

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

PART – C

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

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

without slipping. (8.5)

b) Discuss the above result for the cases of solid sphere and solid cylinder. (4)
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)

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)

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

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

a) Define reverberation time and explain the use of Sabine’s formula. (2+4.5)
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

October 27, 2017 by 01 prakash

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)

Find the n th derivative of
Find the polar subtangent and subnormal for the curve .
Prove that
Find the rank of the matrix
Find .
Find .
Expand .
Prove that
A letter of English alphabet is chosen at random. Find the probability that the letter so chosen follows m and is a vowel.
With the usual notation state Poisson distribution.

SECTION B

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

Find the nth derivative of .
Find the angle of intersection of the curves and .
Find the sum to infinity the series
Find the inverse Laplace transform of

If prove that .

Expand in terms of cosq.

25 books are placed at random in a shelf. Find the probability that a pair of books shall be always together.
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)

(a)If prove that

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

(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 .

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

October 27, 2017 by 01 prakash

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 u_2, 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.

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.

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)

101

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

October 27, 2017 by 01 prakash

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.

(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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