Loyola College Question Paper 2003

Loyola College B.Sc. Mathematics Nov 2003 Mathematical Statistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI– 600 034

B.Sc. DEGREE EXAMINATION  –  MATHEMATICS

Fourth  SEMESTER  – NOVEMBER 2003

ST 4201/STA 201 MATHEMATICAL  STATISTICS

14.11.2003                                                                                        Max: 100 Marks

9.00 – 12.00

 

SECTION – A                                             

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

  1. Define an event and probability of an event.
  2. If A and B any two events, show that P (AÇBC) = P(A) – P(AÇB).
  3. State Baye’s theorem.
  4. Define Random variable and p.d.f of a random variable.
  5. State the properties of distribution function.
  7. Define marginal and conditional p.d.fs.
  8. Examine the validity of the given Statement “X is a Binomial variate with

mean 10 and S.D  4”.

  1. Find the d.f of exponential distribution.
  2. Define consistent estimator.

 

SECTION – B                          (5 ´ 8 = 40 Marks)

Answer any FIVE questions.

 

  1. An urn contains 6 red, 4 white and 5 black balls.  4 balls are drawn at random.

Find the probability that the sample contains at least one ball of each colour.

  1. Three persons A,B and C are simultaneously shooting. Probability of A hit the

target is  ;  that for B is    and for C is  Find   i)  the probability that

exactly one of them will hit the target ii) the probability that at least one of them

will hit the target.

  1. Let the random variable X have the p.d.f

 

 

Find P( ½ < X <  ¾) and    ii) P ( – ½ < X< ½).

  1. Find the median and mode of the distribution

.

 

 

 

 

 

  1. Find the m.g.f of Poisson distribution and hence obtain its mean and variance.

 

  1. If X and Y are two independent Gamma variates with parameters m and g

respectively,  then show that    Z =  ~ b (m,g).

  1. Find the m.g.f of Normal distribution.
  2. Show that the conditional mean of Y given X is linear in X in the case of bivariate normal distribution.

 

 

 SECTION – C

Answer any TWO questions.                                                   (2 ´ 20 = 40 Marks)

  1. Let X1and X2 be random variables having the joint p.d.f

Show that the conditional means are

 

(10+10)

  1. If f (X,Y) has a trinomial distribution, show that the correlations between

X and Y is   .

 

  1. i)    Derive  the p.d.f of ‘t’ distribution with ‘n’ d.f
  2. ii) Find all odd order moments of Normal distribution.                       (15+5)
  3. i) Derive the p.d.f of ‘F’ variate with (n1,n2) d.f                                     (14)

 

  1. ii) Define   i)   Null and alternative Hypotheses                                      (2)
  2. ii) Type I and Type II errors.                                                (2)

and         iii)   critical region                                                                   (2)

 

 

 

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Loyola College B.Sc. Mathematics Nov 2003 Algebra, Anal. Geometry, Calculus & Trigonometry Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – MATHEMATICS

FIRST SEMESTER – NOVEMBER 2004

MT – 1500/MAT 500 – ALGEBRA, ANAL. GEOMETRY, CALCULUS & TRIGONOMETRY

01.11.2004                                                                                                           Max:100 marks

1.00 – 4.00 p.m.

 

SECTION – A

 

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

 

  1. If y = sin (ax + b), find yn.
  2. Show that in the parabola y2 = 4ax, the subnormal is constant.
  3. Prove that cos h2x = cos h2x + sin h2
  4. Write the formula for the radius of curvature in polar co-ordinates.
  5. Find the centre of the curvature xy = c2 at (c, c).
  6. Prove that .
  7. Form a rational cubic equation which shall have for roots 1, 3 – .
  8. Solve the equation 2x3 – 7x2 + 4x + 3 = 0 given 1+is a root.
  9. What is the equation of the chord of the parabola y2 = 4ax having (x, y) as mid – point?
  10. Define conjugate diameters.

 

SECTION – B

 

Answer any FIVE Questions.                                                                         (5 x 8 = 40 marks)

 

  1. Find the nth derivative of cosx cos2x cos3x.
  2. In the curve xm yn = am+n , show that the subtangent at any point varies as the abscissa of the point.
  3. Prove that the radius of curvature at any point of the cycloid

x = a (q + sin q) and  y = a  (1 – cos q) is 4 a cos .

  1. Find the p-r equation of the curve rm = am sin m q.
  2. Find the value of a,b,c such that .
  3. Solve the equation

6x6 – 35x5 + 56x4 – 56x2 + 35x – 6 = 0.

  1. If the sum of two roots of the equation x4 + px3 + qx2 + rx + s = 0 equals the sum of the other two, prove that p3 + 8r = 4pq.
  2. Show that in a conic, the semi latus rectum is the harmonic mean between the segments of a focal chord.

SECTION -C

 

Answer any TWO Questions.                                                                        (2 x 20 = 40 marks)

 

  1. a) If y = , prove that

(1 – x2) y2 – xy1 – a2y = 0.

Hence show that (1 – x2) yn+2 – (2n +1) xyn+1 – (m2 + a2) yn = 0.                     (10)

 

  1. Find the angle of intersection of the cardioid r = a (1 + cos q) and r = b (1 – cos q).

(10)

 

  1. a) Prove that  = 64 cos6 q – 112 cos4q + 56 cos2q –                                       (12)

 

  1. b) Show that (8)
  2. a) If  a + b + c + d = 0, show that

.                               (12)

 

  1. b) Show that the roots of the equation x3 + px2 + qx + r = 0 are in Arithmetical

progression if 2 p3 – 9pq + 27r = 0.                                                                             (8)

 

  1. a) Prove that the tangent to a rectangular hyperbola terminated by its asymptotes is

bisected at the point of contact and encloses a triangle of constant area.                     (8)

  1. b) P and Q are extremities of two conjugate diameters of the ellipse and S is

a focus.  Prove that PQ2 – (SP – SQ)2 = 2b2.                                                              (12)

 

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Loyola College B.Sc. Commerce Nov 2012 Advanced Statistical Methods Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – COMMERCE

THIRD SEMESTER – NOVEMBER 2012

ST 3202 – ADVANCED STATISTICAL METHODS

 

 

Date : 09/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION A

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

                                             

  1. What is meant by independence of attributes?
  2. What are the types of probability sampling?
  3. Define probability and give an example.
  4. Write Any four properties of normal distribution
  5. Explain the term standard error.
  6. State Central Limit Theorem.
  7. State Type – I and Type – II error.
  8. Explain the different type of errors in hypothesis testing
  9. State the assumptions made in analysis of variance.
  10. Distinguish between np chart and p chart.

 

SECTION B                                             

Answer any FIVE questions:                                                                                        (5 X 8 = 40 Marks)

 

  1. From the following data, prepare a 2X2 table and using Yule’s coefficient of association, discuss

Whether there is association between literacy and unemployment.

Literate unemployed 220 persons

Literate employed 20 persons

Literate employed 180 persons

Total number of persons 500.

 

  1. State and prove multiplication theorem.
  2. Student A can solve a problem in statistics in 4 out of 5 chances and B can do it in 2 out of 3 chances

If both A and B try the problem, find the probability that the problem will be solved.

 

  1. After correcting the proofs of the first 50 pages of a book, it is found that on the average there are 3

errors per 5 pages. Use poisson probabilities and estimate the number of pages with 0,1,2,3 errors in

the whole book of 1000 pages (e-0.6=.5488)

 

15.What is Sampling Technique ? Explain different types of Sampling.

 

 

 

 

 

  1. Out of 8000 graduates in a town,800 are females and out of 1600 graduate employees 120 are

females. Use  Chi-square to determine if any distinction is made in appointment on the basis of sex?

Test at 5% level.

  1. Explain the various types of control charts.

 

  1. You are given below the values of sample mean (X) and the range (R) for ten samples of size 5

Each. Draw mean and range charts and comment on the state of control of the process.

 

Sample No:   1     2       3     4      5      6       7        8       9         10

 

X:  43    49    37    44    45    37      51     46     43        47

 

R:    5       6      5      7      7      4        8       6      4          6

 

You may use the following :(for  n=5, A2=0.58, D3=0, D4=2.11)

 

 

SECTION   C                                  

Answer any TWO questions:                                                                                    (2 X 20  =  40 Marks)

 

19.(a) Given    (ABC) = 137;   (αBC) = 261; (AβC) = 313; (ABg) = 284; (Abg) = 417; (αBg) = 420;

(αbC)  =  490; (abg)  =  508; Find the frequencies (AB), (A) and N.                       (10)

 

19.(b) )   There are 3 boxes containing respectively 1 White,2 Red, 3 block; 2 white,3 red, 1 black ball;

3 white , 1 red  and 2 black ball. A box is chosen at random and from it two balls are drawn

At random. The two balls are 1 red and 1 white. What is the probability that they come from

(i) The first box (ii) second box  (iii) third box.                                                                   (10)

 

  1. (a) The customer accounts of a certain departmental store have an average balance of Rs.120 and a

standard deviation of Rs.40. Assuming that the account balances are normally distributed, find

  • What proportion of accounts is over Rs.150?
  • What proportion of accounts is between Rs.100 and Rs.150?
  • What proportion of accounts is between Rs.60 and Rs.90 ?                                 (10)

 

  1. (b) Random samples of 400 men and 600 women were asked whether they would like to have a fly-

over      near  their residence 200 men and 325 women were in favor of it. Test the equality of

proportion of men and    women in the proposal? Test at 5% level.                                       (10)

 

21.(a) The marks obtained by a group of 9 regular course students and  another group of 11 part- time

course students in a test are given below:

 

Regular 56 62 63 54 60 51 67 69 58    
Part time 62 70 71 62 60 56 75 64 72 68 66

 

 

 

Examine whether the marks obtained by regular students and part time students differ significantly at

5% level.                                                                                                                                           (10)

 

 

 

  1. (b) The number of defects defected in 20 items are given below

Item No     :  1   2   3    4     5    6   7    8     9    10    11     12    13    14   15   16   17    18   19   20

No. of defects:  2    0   4   1      0     0   8     1    2     0      6        0     2      1    0      3     2       1    0     2

Test whether the process is under control. Device a suitable scheme for future.                        (10)

 

  1. Perform two-way ANNOVA for the data given below:
  Treatment
Plots of Land

I

II

III

 A

38

45

40

 B

40

42

38

 C

41

49

42

 D

39

36

42

Using coding method subtracting 40 from the given number.                                                           (20)

 

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Loyola College B.Sc. Chemistry April 2003 Physical Chemistry I Question Paper PDF Download

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LOYOLA  COLLEGE (AUTONOMOUS), CHENNAI-600 034.

B.Sc. DEGREE  EXAMINATION  – chemistry

third  SEMESTER  – APRIL 2003

CH  3500/ che 504 physical chemistry – I

04.04.2002

1.00 – 4.00                                                                                          Max: 100 Marks

 

 

 

PART – A                                         (10 ´ 2 = 20) )

Answer ALL questions

 

  1. What is an adiabatic process?
  2. Examine whether dP is a complete differential for a system with the equation of state P(V-b) =RT where b,R are constats.
  3. State: Trouton’s law.
  4. What is the effect of pressure on the gaseous system PCl5 PCl3+Cl2 at equilibrium?
  5. Define enthalpy of combustion.
  6. Mention the importance of the following.

(i)  plait point          (ii) tie line.

  1. Calculate the number of components and degree of freedom in an aqueous solution

of Nacl.

  1. Prove that a congruent melting point is an invariant point.
  2. Define : Henry’s law.
  3. Calculate the osmotic pressure of a 5% aqueous solution of glucose at 25°C

(mol.wt. of glucose=180 g mol-1)

 

PART  – B                                         (8 ´5 = 40)

Answer any eight only

 

  1. State and explain Hess’s law with an example.
  2. Show that PVr = constant.
  3. 10 moles of an ideal gas expand isothermally and reversibly at 27°C from 10 lit to 100 lit. Calculate q, w, DE, DH and D
  4. The standard free energy change of a chemical reaction at 100k is -104

Calculate the equilibrium constant for the reaction.

 

  1. Differentiate
  • intensive and extensive variables.

(ii) bond energy and bond dissociation  energy.

  1. How is absolute entropy of a gas determined using third law of thermodynamics?
  2. State phase rule and discuss its derivation.

 

 

 

 

 

  1. Explain the Pattinson’s process of desilverisation of lead.
  2. Obtain a relation between osmotic pressure and uapour pressure lowering of an ideal solution.
  3. State Raoult’s law and discuss it for a solution showing positive deviation.
  4. The molar heat of vaporisation of water at 100°C is 40.585 kJ.  At what temperature

will a solution containing 5.60g of glucose per 1000g of water boil?(Mol. wt. of glucose = 180 gmol–1)

 

 

 

PART  – C                            (4 ´ 10 = 40 Marks)

Answer any four only

 

  1. Deduce four Maxwell’s equation from first principles. (10)
  2. Derive (i) Kirchoff’s equation (5)

(ii) an expression for entropy of mixing of gases.                                    (5)

  • a) For the reaction of the type

aA + bb cC +dD

derive the relation connecting DG and reaction quotient and deduce an expression for equilibrium constant.                                                                              (5)

 

  1. b) Derive Gibbs-Helmboltz equation.  Mention its significance.                      (5)

 

  1. State the distribution law. Discuss its thermodynamic derivation and explain

how it is altered during the association of the solute in one of the solvents.     (10)

 

  1. Derive thermodynamically an expression connecting elevation of boiling point

of a solution and molality.

  1. a) Discuss the salient features of the phase diagram of sulphur system.           (6)

 

  1. How will you explain the variation of the mutual solubility of water and

phenol with temperature?                                                                              (4)

 

 

 

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Loyola College B.Sc. Chemistry April 2003 Organic Chemistry I Question Paper PDF Download

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LOYOLA  COLLEGE (AUTONOMOUS), CHENNAI-600 034.

B.Sc. DEGREE  EXAMINATION  – chemistry

second SEMESTER  – APRIL 2003

CH  2500/ che 502 organic chemistry – I

23.04.2002

9.00 – 12.00                                                                                        Max: 100 Marks

 

 

PART – A                      (10 ´ 2 = 20 Marks)

                                                 Answer ALL the questions.

 

  1. Which alcohol of the following pair would you expect to be more

easily dehydrated? Why?

(CH3) C(OH) CH2 CH3 (or)  (CH3)2 CH CH (OH)  CH3.

  1. State and explain Markonikov’s rule.
  2. How would you distinguish 1-butyne from 2-butyne?
  3. Identify the product in the following.

R-CH = CH2  +  CCl4             ?

  1. Anti-Markonikov’s rule is possible only for the addition of HBr in presence of

peroxides to an unsymmetrical alkene  and not for HCl or HI.  Why?

  1. ‘The presence of a small amount of O2 slows down the chlorination of methane’.
  2. In a study of Chlorination of  propane, four products of formula C3 H6 Cl2

were isolated.  What are their structures?

  1. Acidity of the following Carboxylic acids is in the following order.

Cl2 CH COOH   >  F CH2 COOH  >  Cl CH2 COOH.  Explain.

  1. Many -but not all molecules – that contain a cheral centre are chiral.
  2. How do the properties of diasteromers compare?

 

PART – B                          (8 ´ 5 = 40 Marks)

Answer any eight questions

  1. Identify the products of obtained in the dehydration of 3 -methy1-2 butanol.

Which one is major?  Justify your answer.

  1. Arrange the following compounds in order of reactivity toward dehydrohalogenation  by strong base.   Account for your answer.

1-bromobutone, 1-brome-2,2 – dimethyl propane,

1-bromo-2 methylbutane, 1-bromo-3-methylbutane.

  1. Account for the following

(i)         trans -alkene is more stable than cis -alkene.

(ii)        NBS is preferred for allylic halogenation.

  1. 98% H2 SO4 is required to hydrate ethylene while 63% H2 SO4 is enough for

isobutylene.  Explain

  1. Explain with mechanism the addition of HBr to 1,3-butadiene as 1,2-  Vs 1,4 addition.
  2. How would you prepare cis and trans alkenes from alkynes?

Explain with an example.

  1. Give the mechanism of chlorination of methane is the presence of uv light.

Explain the relative reactivities of F2, Cl2, Br2 & I2 towards methane.

 

 

 

 

 

 

  1. How do you prepare the following?

(i)         n-nonane starting with CH3 Br.

(ii)        3- methyl octane starting with sec-butyl chloride.

  1.    In the halogenation of alkanes, bromine atom is much more selective than

chlorine atom.  Explain [ relative rate factors of  1600: 82:1 for Br2 Vs 5.0: 3.8:1 for Cl2 for the reaction at tertiary: secondary: primary hydrogen]

  1.    Account for the following.

(a)        Chlorination of ethane is  400 times  faster than that of methane when         equimolar   amounts of  both are reacted with  a small amount of C12 .

(b)        chlorination of propane gives 45% of CH3 CH2 CH2 Cl and
55%  of CH3CH(Cl) CH3.

  1.    Draw and specify as  R or S, the enantiomers of

(i)  CH3 CH (OH) COOH  (ii) Sec-butyl chloride
(iii)   Bromo chloro iodomethane

  1.    What is a racemic modification?  Discuss any two methods of resolving a

recemic modification.

 

 

PART – C                           (4 ´ 10 = 40 Marks)

Answer any FOUR questions.

  1. a) Explain the stability of conjugated dienes based  on hydrogenation data.
  2. b) Explain the acidity of acetylene compared with water, ammonia and
  3. Account for the following
  4. Hydration of acetylene gives CH3
  5. Industrially acetylene is prepared from coal.
  6. Propene reacts with HOCl gives propylene chloro hydrin.
  7. 2-methyl-l-butanol on dehydration mainly gives 2-methyl 2-
  8. Sec-butyl trimethyl ammonium ion on treatment with strong base              undergoes elimination.
  9. a) Explain the mechanism of addition of halogens to alkene.
  10. b) Explain the mechanism of anti-Markonikov’s rule.
  11. Explain homogenous and heterogeneous hydrogenation of alkenes with an     Discuss the mechanism for both in detail.
  12. Draw the different conformation of ethane and n-butane, considering the

rotations about the bonds shown.  CH3-CH3 and CH3CH2-CH2CH3.  Draw the

potential energy Vs rotation curve for both and explain the strain and rotational  barrier involved.

  1. Draw the stereocherical formulas of the dichlorobutanes obtained by the

free-radical chlorination of (i) (S) -Sec-batyl chloride,  (ii) (R) -Sec-butyl chloride and  (iii)  racemic-Sec-butyl chloride.  Give  the ratios of the different 2,3-dichlorobutanes obtained in the case of  (i),(ii) & (iii) and Explain.  Also comment on the optical activity of the mixtures of 2,3-dichlorobutanes  obtained in (i)  ,(ii), & (iii).

 

               

 

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

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – CHEMISTRY

FIFTH SEMESTER – NOVEMBER 2003

CH – 5400/CHE400/CH518 – POLYMER CHEMISTRY

07.11.2003                                                                                                          Max:100 marks

1.00 – 4.00

 

PART-A

 

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

 

  1. What are chain transfer agents? Give an example.
  2. What are plasticizers? Give an example.
  3. Define CMC.
  4. Mention two disadvantages of bulk polymerization.
  5. When rubber is masticated in an atmosphere of nitrogen, the degradation does not occur, but when the process is repeated in the presence of air, the degradation is very quick and significant – Explain.
  6. Mention the polymer used for the following:
  • Articles that can be sterilized.
  • Attractive sign boards and durable lenses.
  1. What are Kevlar fibres?
  2. What is compounding?
  3. Mention the uses of FRP.
  4. How is the monomer of PAN prepared?

 

PART-B

 

Answer any EIGHT questions.                                                                        (8×5=40 marks)

 

  1. A polymer sample consists of 5 moles of molecular weight 30,000, five moles of molecular weight 40,000 and 10 moles of molecular weight 50,000. Calculate  and .
  2. Discuss the polymerization of acetonitrile in the presence of Li NH2.
  3. Explain gas phase polymerization with an example.
  4. Stilbene and maleic anhydride fail to undergo self polymerization but these two react to give exclusively alternating co-polymer.
  5. What are epoxy polymers? How are these prepared?
  6. Give an example of photostabilizer and mention its requirement.
  7. Write a note on Fibre Reinforcing Plastics.
  8. Define cohesive energy and account for the high cohesive energy of polyamide.
  9. What should be the criteria of conducting polymers? Give two examples of conducting polymers.

 

  1. Give an example for each:
  • Man made fibre
  • Natural fibre
  • Natural rubber
  • Synthetic rubber
  • Thermosetting plastic.

 

PART-C

 

Answer any FOUR questions.                                                                         (4×10=40 marks)

 

  1. Discuss the secondary bond forces in polymers.
  2. What are stereoregular polymers? Give examples. How are these obtained?  Discuss the mechanism for the preparation stereoregular polymers.
  3. Discuss emulsion polymerization.
  4. Give an account of thermal degradation of polymers.
  5. Write notes on
  • Injection moulding
  • Callendering
  1. (i) Distinguish homopolymes and co-polymers.

(ii) Give the preparation and the uses of polystyrene and phenolformaldehyde resin.

 

 

 

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Loyola College B.Sc. Chemistry Nov 2003 Physical Chemisrty – II Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – CHEMISTRY

FIFTH SEMESTER – NOVEMBER 2003

CH – 5500/CHE508 –  PHYSICAL CHEMISRTY – II

03-11-2003                                                                                                     Max:100 marks

1.00 – 4.00

 

PART – A                                           (10X2=20 marks)

Answer ALL questions.

 

  1. Write the electrode reaction occurring in a saturated calomel electrode when it serves as cathode.
  2. NaCl cannot be used in salt bridge preparation. Why?
  3. Calculate Ecell for Cu | Cu2+ (10-2‑M) || Ag+ (10-3M)| Ag at 298 K. Eo red for Cu2+ | Cu is 0.34V, Ag+ | Ag 0.8V.
  4. Write the electrode reactions occurring in a lead storage battery when it serves as a source of current.
  5. Define molar conductance of an electrolytic solution.
  6. 30% of a zero order reaction is complete in 100 min. Calculate i) rate constant ii) half life.
  7. Mention the steps involved in a thermal chain reaction with one example.
  8. Predict the effect of ionic strength on the rate constant of the following reaction and account for your answer.

S2O82- + 2I–    2SO42- + I2

  1. Adsorption if spontaneous must be exothermic.
  2. Why is quantum yield for H2 + Cl2   2 HCl very high?

 

PART – B                                           (8X5=40 marks)

Answer any EIGHT questions.

 

  1. Explain the construction and working of Weston saturated standard cell. Write the electrode reactions involved.
  2. Eo cell for Pt | H2 HCl (aq) | HgCl­2(s) | Hg­ is 0.2699V at 293 K and 0.2669 V at 303 K. Evaluate the thermodynamic parameters DGo, DHo and DSo at 298 K.  (Assume two electron transfer)
  3. How is pH of a solution determined using quinhdrone electrode?
  4. Eo red for Ag-AgCl electrode is 0.22V and for Ag+ | Ag is 0.8 V at 298 K. Calculate the solubility product of AgCl and the solubility of it in water in g/l.  (Molecular mass of AgCl : 143.5).
  5. How is Ka of a weak acid determined experimentally using conductance measurements?
  6. For a reaction with an activation energy of 50 kJ/mol the temperature is increased from 25oC to 37o Calculate the ratio of the rate constants (R = 8.314 JK-1 mol-1).
  7. The following mechanism is proposed for the decomposition of ozone in the atmosphere.
  8. k­1

03            O2 + O

k2

  1. ii) O + O3 k3 O2 + O2    (slow step)

 

Derive an expression for the rate of decomposition of O3 using steady state

approximation with O treated as the intermediate.  Show that when the second step is

slow, the rate is second order in O3 and  first order in  O2.

  1. The pre-exponential factor for a bimolecular gaseous reaction at 300oC is 7.4 X 1010 l mol-1 s-1. Calculate DS¹.
  2. Differentiate physisorption form Chemisorption (five points).
  3. Explain a) Photosensitization b) Parallel reaction with one example for each.
  4. The quantum yield is 2 for the photolysis of HI(g) to H2 + I2 by light of wavelength 253.7 nm. Calculate the number of moles of HI that will be decomposed if 300 J of energy of this wavelength is absorbed.
  5. Explain Langumir – Hinshelwood mechanism with one example.

 

PART – C                                           (4X10=40 marks)

Answer any FOUR questions.

 

  1. a) Derive Nernst equation for a cell reaction and hence deduce an expression relating equilibrium constant and Eo         (4+2)
  2. b) Explain the significance of electromotive series. (4)
  3. Derive an expression for E cell for a concentration cell with transference and hence deduce an expression for liquid junction potential.          (7+3)
  4. a) Explain the principle of polarography. (5)
  5. b) How is transport number of an ion determined experimentally? (5)
  6. a) Account for the variation of equivalent conductance with concentration for i) strong electrolyte ii) weak electrolyte. (5)
  7. b) Derive an expression for rate constant of a second order reaction of the type 2A                                                                                                       (5)
  8. a) Explain any two methods of determining order of a reaction. (4)
  9. b) Derive Langumir adsorption isotherm equation and apply it to a moderately adsorbed system.         (5+1)
  10. a) Compare collision theory with ARRT (5)
  11. b) Explain the principle of flash photolysis. (5)
  12. Explain the kinetics of enzyme catalysed reaction involving a single substrate. How are the kinetic parameters for the enzymatic reaction evaluated?                                         (10)

 

 

 

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Loyola College B.Sc. Chemistry Nov 2003 Physical Chemisrty – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – CHEMISTRY

THIRD SEMESTER – NOVEMBER 2003

CH – 3500/CHE504 –   PHYSICAL CHEMISRTY – I

04-11-2003                                                                                                     Max:100 marks

9.00 – 12.00

 

PART – A                                           (10X2=20 marks)

Answer ALL questions.

 

  1. Define Molar heat capacity at constant volume.
  2. State the third law of thermodynamics.
  3. Heat supplied to a Cornot engine is 1897.86 kJ. How much useful work can be done by the engine which works between 0oC and 100oC?
  4. Mention the criteria of reversibility interms of S and G.
  5. For the reaction C(graphite) + 1/2 O2 (g) CO (g) at 298k and at 1 atm pressure, DH = 110.60 kJ.  Calculate D
  6. Define Ebullioscopic constant of a liquid?
  7. What are isotonic solutions? Give an example.
  8. Mention the importance of critical Solution Temperature.
  9. Express the conditions for the validity of the distribution law.
  10. Determine the number of degrees of freedom for the following equilibrium at 1 atm premure.

Water (liquid)  water (vapour).

 

 

PART – B                                           (8X5=40 marks)

Answer EIGHT questions.

 

  1. Show that for an ideal gas
  2. a) (= 0.    b)   ( = 0.
  3. Internal energy and enthalpy remain constant in the isothermal expansion of an ideal gas – Explain.
  4. For the reaction N2 (g) + 3H2 (g) 2 NH3(g).  Kp is 1.64 x 10-4 at 673 k.  Calculate DG when the partial pressure of N2, H2 and NH3 are 10 atm, 30 atm and 3 atm respectively. Is the reaction spontaneous?
  5. Discuss the effect of temperature on enthalpy change of a reaction.
  6. Obtain an expression for the equilibrium constant thermodynamically.
  7. Explain with an example the positive deviation from Raoult’s law.
  8. How will you determine the molecular weight by Beckmann’s method.
  9. Highlight the salient features of the phase diagram of water system.
  10. Derive thermodynamically the distribution law.
  11. Draw and explain the phase diagram of a system having both UCST and LCST.
  12. An immisible mixture of water and quinoline boils at 98.9oC under a pressure of 740 torr. The distillate contains 77.9 g of quinoline and 1 kg of water.  At the given boiling point the vapour pressure of quinoline is 7.96 torr. Calculate the molar mass of quinoline?
  13. Derive any two Maxwell’s relationships.

 

PART – C                                           (4X10=40 marks)

Answer FOUR questions.

 

  1. Obtain expressions for w, Du and DH for the reversible isothermal expansion of real gas.
  2. a) How is Joule-Thomson coefficient calculated? Mention the importance of inversion

temperature.                                                                                                                  (7)

  1. b) Calculate the ratio of Kp to Kc at 27oC for the following equilibrium. (R = 0.082 lit

atm K-1 mol-1)

COCl2 (g) CO(g) + Cl2(g).                                                                              (3)

  1. a) Discuss the application of Lechatelier’s principle to the formation of ammonia. (6)
  2. b) Two moles of an ideal gas undergo isothermal reversible expansion from 15 litres to 30

litres at 300 K. Calculate the work done and change in entropy.                                (4)

  1. a) Draw the vapour pressure – composition and boiling point – composition curves of

completely miscible binary solutions.                                                                          (5)

  1. b) Explain the principle of steam distillation. (5)
  2. Derive phase rule equation and explain the terms involved in it with one example.
  3. a) How will you determine osmotic pressure of a solution by Berkely – Hartley method? (5)
  4. b) A 0.5% aqueous solution of kCl was found to freeze at -0.24o Calculate the van’t

Hoff factor and the degree of dissociation of the solute at this concentration (kf = 1.86 K

kg mol-1).                                                                                                                        (5)

 

 

 

 

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Loyola College B.Sc. Chemistry Nov 2003 Inorganic Chemistry – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – CHEMISTRY

FIRST SEMESTER – NOVEMBER 2003

CH – 1500/CHE500 – INORGANIC CHEMISTRY – I

07-11-2003                                                                                                          Max:100 marks

9.00 – 12.00

 

PART-A                                 (10×2=20 marks)

Answer ALL the questions.                                                                             

 

  1. What are the factors favouring the formation of ionic compounds?
  2. Arrange the solubility of the following silver halides in the decreasing order: AgF, AgCl, AgBr, AgI and account for your answer.
  3. What are the essential conditions for LCAO?
  4. Explain why CO is diamagnetic while NO is paramagnetic?
  5. Why is density of ice lesser than that of water?
  6. What is protonic and aprotic solvents? Give one example for each.
  7. [AgI2] – is stable but [AgF2] – is not. Why?
  8. What are clathrates? Give any one example.
  9. What is oleum? How is it obtained?
  10. Give the reaction of Na2O2 as an oxidizing agent on moist Cr(OH)3.

 

PART-B                                             (8×5=40 marks)

Answer any EIGHT questions.                                                                       

 

  1. Construct Born-Haber cycle for the formation of salt MX and calculate the lattice energy of the salt MX from the data given below:

Heat of formation of MX = -550 KJmol-1

Heat of sublimation of M = +80 KJmol-1

Heat of dissociation of X2 = +155 KJmol-1

Ionization energy of M = +374 KJmol-1

Electron affinity of X = -343 Kjmol-1

  1. Calculate the electronegativity of silicon using Allred Rochow method. (covalent radius of  Si atom is 1.175 ).
  2. Explain Fajan’s rule with an example.
  3. Explain the structures of PCl5 and SF6 using hybridisation.
  4. Describe the reactions of liq. NH3 as solvent with respect to (i) acid – base reactions (ii) precipitation reactions.
  5. What are hard and soft acids and bases? Give two examples for each. How does HSAB principle explain the ambidentate nature of the ligand SCN– ?
  6. Explain the types of hydrogen bonding with suitable examples and explain two of its consequences.
  7. What are levelling and differentiating solvents? Explain with an example.
  8. Write briefly about the classification of oxides with suitable examples.
  9. Write the various oxides and oxyacids of nitrogen and give the structure of any two oxyacids of nitrogen.
  10. Give the reaction of hydrazine with (i) O2 (ii) HNO2  and indicate the significance of this reaction.

 

PART-C                                            (4×10=40 marks)

Answer any FOUR questions.                                                            

 

  1. Define lattice energy. How is lattice energy calculated theoretically?  What are the factors that affect lattice energy?
  2. Explain the postulates of VSEPR theory with special reference to (i) ClF3   (ii) NH3.
  3. Construct molecular orbital diagram for O2 molecule and hence discuss the relative stabilities of O2, O, O and O2 2+.
  4. Explain band theory as applicable to metals.
  5. Explain i) Similarities among nitrogen group elements
  6. ii) Differences between nitrogen and other members of the family
  7. a) Explain any two methods of estimating H2O2.
  8. b) How is the structure of H2O2 established?

 

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Loyola College B.Sc. Chemistry Nov 2003 Bio-Chemistry Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – CHEMISTRY

FIFTH SEMESTER – NOVEMBER 2003

CH – 5401/520/CHE 401 – BIO-CHEMISTRY

10-11-2003                                                                                                     Max:100 marks

1.00 – 4.00

PART – A

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

  1. Define isoelectric point.
  2. How is aninoacid tested using Ninhydrin? Indicate the reaction.
  3. What are the two tertiary structures possible for a polypeptide? Give one example for each.
  4. What is transamination reaction? Mention one example.
  5. What is ATP? Give its structure.
  6. What is ‘allosteric’ enzymes? How does it affect the rate of a reaction?
  7. Suggest a chemical test for cholesterol.
  8. What is the reaction of glucose with an amine?
  9. Indicate the hydrogen bonding between A – T, G-C.
  10. Mention any two differences between DNA and RNA?

 

PART – B

Answer any EIGHT questions.                                                                        (8×5=40 marks)

  1. Suggest a synthetic route for ala-gly-ph ala.
  2. Explain one method for C-terminal analysis of a polypeptide?
  3. Explain all the steps involved in the ‘b-oxidation of fattyacid’.
  4. How is the ring size of glucose determined?
  5. Write briefly about competitive inhibition of enzymes.
  6. How are enzymes classified? How is the enzyme action affected by pH?
  7. Explain the mechanism of oxidative phosphorylation and explain the steps involved in this process.
  8. Bring out the salient features of secondary structure of DNA.
  9. Define genetic code. How is genetic information decoded for protein synthesis?
  10. Write all the steps involved in the bio-synthesis of fattyacids.
  11. Explain how blood is coagulated?

 

PART – C

Answer any FOUR questions.                                                                         (4×10=40 marks)

  1. a) Define anabolism and catabolism. How are amino acids catabolyzed?
  2. b) Discuss the advantage of preparing polypeptides by solid phase synthesis.
  3. Explain how Michalis-Menton model helps in understanding the characteristics of enzyme catalysis. Derive the expression for the rate of enzyme catalysis.
  4. Out line the steps in the bio-synthesis of cholesterol.
  5. Describe the secondary structure of proteins.
  6. Describe the steps involved in a) tricarboxylic acid cycle b) Glycolysis and energetics of glycolysis.
  7. Explain the mechanism of transport of oxygen by blood.

 

 

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

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI-600 034.

B.Sc. DEGREE EXAMINATION – MATHEMATICS/PHYSICS

THIRD SEMESTER – NOVEMBER 2003

CH 3100 / CHE 100  – ALLIED CHEMISTRY

 

08.11.2003

09.00 to 12.00                                                                                             Max. 100 Marks.

PART – A

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

 

  1. Draw the resonance structures of phenol.
  2. State Raoult’s law.
  3. Define ‘degrees of freedom’.
  4. Write the structure of PVC.
  5. N,N-Dimethyl-o-toluidine is a stronger base than N,N-Dimethyltoluene. Why?
  6. What are the advantages of variable oxidation states of transition metals?
  7. Name the following coordination compounds.
  8. a) [Ni(CO)4]         b) [Cr(NH3)4Cl2]Cl
  9. Draw the structure of the following compounds.
  10. a) adenine         b) ribose sugar
  11. Define the order of a chemical reaction.
  12. State Grotthus-Draper Law.

 

PART – B

Answer any EIGHT questions.                                                               (8 x 5 = 40 marks)

 

  1. Draw the optical isomers of tartaric acid and explain.
  2. Draw the conformational isomers of n-butane and explain.
  3. What is an SN2 reaction? Explain its mechanism.
  4. Explain positive deviation from Raoult’s Law with an example.
  5. Draw the phase diagram of water. Apply the phase rule to any one point, line and

area.

  1. Write a note on vulcanization of rubber.
  2. Using valence bond theory, bring out the structures of
  3. a) [ Cu(NH3)4]Cl2   b) [Cr(H2O)6]Cl3
  4. What is EAN rule? Apply it to a) K3[Fe(CN)6] and b) [Ni(CO)4]
  5. Explain Watson-Creek model of DNA.
  6. Write short notes on the following hormones?
  7. a) Prostaglandins b) Thyroxine
  8. Write the relation connecting rate constant and concentration for a) I order and
    b) II  order reactions.
  9. How is copper estimated by photoelectric colorimetry?

PART – C

Answer any FOUR questions.                                                               (4 x 10 = 40 marks)

 

  1. a) Explain the phase diagram of phenol-water system.
  2. b) Write the mechanism of nitration of benzene.
  3. a) How is terylene manufactured? Write the equation.
  4. b) How will you determine pH by using a glass electrode?
  5. What is corrosion? Write the electrochemical mechanism of it. How will you

prevent corrosion by galvanization and cathodic protection?

  1. a) Give a short note on the magnetic properties of transition elements?
  2. b) Discuss on the geometrical and optical isomerisms in the coordination compounds  with an example for each.
  3. a) “DNA forms RNA; RNA makes proteins- Explain?
  4. b)  Write a short notes on “adrenaline”.
  5. a) “What is replication of DNA”. Explain the mechanism.
  6. b)  Explain heterogeneous catalysis with two examples.

 

 

 

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Loyola College B.A. Economics April 2003 Sociology Of Economic Life Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.A. DEGREE EXAMINATION – economics

FourTH SEMESTER – APRIL 2003

SO 4200 / SOC 200  –  SOCIOLOGY OF ECONOMIC LIFE

 

26.04.2003

9.00 – 12.00                                                                                                  Max : 100 Marks

                                                                PART – A                                       (10´ 2=20 marks)

      Answer ALL the questions in 30 words each.

 

  1. Explain mercantilist’s ideas on power.
  2. What did Durkheim mean by mechanical solidarity?
  3. What is ideology?
  4. State the meaning of ‘social stratification’.
  5. Write a short note on Robert Blauner’s concept of alienation.
  6. Elucidate the meaning of formal organization.
  7. What do you understand by ‘structural change’?
  8. List out the ‘differentiations’ accompanying development.
  9. Bring out Myrdal’s notion of ‘vicious circle of under-development’.
  10. What is meant by ‘subsistance agriculture’?

 

 

                                                                PART – B                                         (5´ 8=40 marks)

      Answer any FIVE questions in 300 words each.

 

  1. Explain Keyne’s views on state.
  2. Highlight Marx’ ideas on religion and economy.
  3. Point out the factors determining the upward mobility of immigrants.
  4. Briefly comment on stereotypes about businessmen.
  5. Bring out the social correlates of food consumption.
  6. Briefly discuss the techno-economic and ecological aspects of development.
  7. Furnish a brief description of saving behaviour in Asia.

 

 

                                                               PART – C                                         (2´20=40 marks)

Answer any TWO questions in 1200 words each.

 

  1. Discuss the recent trends in Economics and Sociology.
  2. Examine industrial conflict and different modes of resolving the same.
  3. Evaluate the role of ideology in relation to Economy.

How do discontinuities in differentiation cause social disturbances and conflict?

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Loyola College B.A. Economics April 2003 Select Constitution Of The World Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.A. DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – APRIL 2003

HT 3100 / HIS 100  –  select constitution of the WORLD

 

09.04.2003

9.00 – 12.00                                                                                                  Max : 100 Marks

                                                                PART – A                                       (10´ 2=20 marks)

      Answer any TEN of the following in exceeding FIVE lines each.

 

  1. Privy Council.
  2. Two party system.
  3. Coalition Government.
  4. Double Citizenship.
  9. Rule of Law.
  10. Question Hour.
  11. Federal Tribunal.
  12. Unitary state.

 

 

                                                                PART – B                                       (4´ 10=40 marks)

      Answer any FOUR of the following in ONE page each.

 

  1. Explain the salient features of the USA Constitution.
  2. Briefly explain the powers and functions of the Crown.
  3. Write a short note on the impeachment procedure of the President of the USA.
  4. Give an account of the composition powers and functions of plural executives of Switzerland.
  5. Examine the peculiarities of the French Judiciary.
  6. Define Democracy and point out its merits and demerits.

 

 

                                                               PART – C                                         (2´20=40 marks)

Answer any TWO of the following in FOUR pages each.

 

  1. Discuss the compositions functions and powers of the House of Lords and House of Commons.
  2. “The American Senate is the most powerful Upper House in the world” Examine this statement.
  3. Describe the Direct Democracy Devices in Switzerland.

Evaluate the powers , functions of the Presidency of France.

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Loyola College B.A. Economics April 2003 Public Administration Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.A. DEGREE EXAMINATION – economics and English

FourTH & third SEMESTER – APRIL 2003

ht 4203 / ht 3103 / his 203 / his 103

Public administration

 

02.05.2003

9.00 – 12.00                                                                                                  Max : 100 Marks

                                                                PART – A                                       (10´ 2=20 marks)

      Answer any TEN of the following in not exceeding FIVE lines each.

 

  1. Rule of Law.
  2. Government Order.
  3. Red Tapism.
  4. Operation Black Board.
  6. Article-30
  7. Deficit Budget.
  8. Aptitude Test.
  9. Crisis Management.
  10. Single Transferable Vote.
  11. Performance Appraisal.
  12. In-service Training.

 

 

                                                                PART – B                                       (4´ 10=40 marks)

      Answer any FOUR in not exceeding ONE page each.

 

  1. Define Public administration and its significance.
  2. Explain the distinctions between the Private and Public administration.
  3. Write a short note on the main functions of the Speaker of the Lok Sabha.
  4. Point out the important functions of the Secretariat.
  5. Define the meaning, significance and its functions of the administrative adjudication.
  6. Explain the role of the Cabinet in formulation of Government’s policies.

 

 

                                                               PART – C                                         (2´20=40 marks)

Answer any TWO of the following in not exceeding FOUR pages each.

 

  1. Discuss the powers and functions of the President of India.
  2. Evaluate the fundamental rights and its implications.
  3. Assess the recruitment, training and functions of IAS.
  4. Evaluate the meaning and functions and significance to Delegated legislations.

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Loyola College B.A. Economics April 2003 Indian Constitution Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.A. DEGREE EXAMINATION – ECONOMICS AND SOCIOLOGY

FourTH & third SEMESTER – APRIL 2003

                ht 4200 / his 200

                        INDIAN CONSTITUTION

                HT 3101 / HIS 101

22.04.2003

9.00 – 12.00                                                                                                  Max : 100 Marks

 

PART – A

         Answer any TEN of the following in FIVE lines each.                        (10 x 2 = 20 Marks)

 

  1. Foreign sources of the Constitution
  2. Constituent Assembly
  3. 42nd amendment relating to the Preamble
  4. Welfare State
  5. Article 51-A
  6. Inter-State water Disputes Act 1956
  7. Vice-President
  8. Legislative Assembly
  9. Speaker of the Lok Sabha
  10. Election Commission
  11. Attorney General
  12. Failure of Constitutional Machinery

 

PART – B

Answer any FOUR of the following in a PAGE each                       (4 x 10 = 40 Marks)

 

  1. Give reasons for the lengthiness of the constitution.
  2. Explain the ‘preamble’ of the Constitution.
  3. Highlight ‘Right to Equality’ under the Fundamental Rights.
  4. Examine the composition, powers and functions of the Rajya Sabha
  5. How far we have implemented the Directives in India.
  6. Analyze the powers of the Governor under the constitution.

 

 

PART – C

Answer any TWO of the following in FOUR page                          (2 x 20 =40 Marks)

 

  1. Describe the outstanding features of the Constitution.
  2. Critically examine the powers of the President of India.
  3. Elaborate the Union-State relations under the Constitution.

Write the composition, powers and functions of the Supreme Court of India.

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Loyola College B.A. Economics April 2003 General Economics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.B.A / B.A. corporate – DEGREE EXAMINATION

FourTH SEMESTER – APRIL 2003

EC 4204 / ECO 204  –  GENERAL ECONOMICS

 

29.04.2003

9.00 – 12.00                                                                                                     Max : 100 Marks

                                                                PART – A                                         (5´ 4=20 marks)

      Answer any FIVE questions in about 75 words each.

 

  1. Write a short note on Indifference curve.
  2. What is production function?
  3. Distinguish between Gross National Product and Net National Product.
  4. What is meant by Average Propensity to Consume?
  5. What is meant by Open market operation?
  6. Explain the term ‘Liquidity Trap’.
  7. What is meant by Deficit financing?

 

 

                                                                PART – B                                       (4´ 10=40 marks)

      Answer any FOUR questions in about 250 words each.

 

  1. What is meant by by Division of Labour? What are the advantages and Disadvantages of Division of Labour?
  2. Explain the Ricardian theory of Rent.
  3. Explain the objective factors influencing the level of consumption expenditure.
  4. State and explain the Concept Marginal Efficiency of Capital.
  5. Explain the factors affecting supply of money.
  6. Explain the various types of qualitative credit control weapons.
  7. Define budget and explain various types of budget.

 

 

                                                               PART – C                                         (2´20=40 marks)

Answer any TWO questions in about 900 words.

 

  1. Explain the Law of Variable Proportion.
  2. Explain the Keynesian theory of Income and Employment.
  3. How do banks create credit? What are the limitations on the power of banks to create credit?

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Loyola College B.A. Economics April 2003 Econometrics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

B.A. DEGREE EXAMINATION – ECONOMICS

FourTH SEMESTER – APRIL 2003

sT 4204  –  ECONOMETRICS

 

26.04.2003

9.00 – 12.00                                                                                                     Max : 100 Marks

 

                                                                PART – A                                       (10´ 2=20 marks)

      Answer ALL the questions.

 

  1. Define Expectation of a random variable in the discrete and continuous cases.
  2. Distinguish between parameter and statistic.
  3. Define Best Linear Unbiased Estimator.
  4. State any two conditions underlying the ordinary least square (O.L.S.) technique.
  5. Define ‘residuals’ in the case of two variable linear model and state its properties.
  6. Define coefficient of Determination.
  7. Explain the term ‘Linear Hypothesis’ with an example.
  8. State any two ways in which ‘specification Error’ occurs.
  9. Write down the AR (1) model for the disturbance term stating the assumptions.
  10. If X ~ N (3, 4), find P(3 < x < 5).

 

 

 

                                                                PART – B                                         (5´ 8=40 marks)

      Answer any FIVE questions.

 

  1. X and Y are random variables whose joint distribution is as follows:

 

      X

Y

  -1        0            1         2
2

3

 1/10   3/10         0      2/10

2/10   1/10       1/10      0

Find means and variances of X and Y.

  1. Construct a 95% confidence internal for the mean m of a normal population (variance

unknown) given the following observations:

3.25,         4.10,    4.72,    3.64,    3.50,    3.90,    4.85,    4.20,    4.30,    3.75 .

  1. For the two variable linear model, obtain the decomposition of the total variation in the data. Present the ANOVA for testing H0: b2 = 0. Also, give a heuristic motivation for the ANOVA procedure.
  2. Fit a regression line through the origin for the following data on the annual rate of return on a fund (Y) and market portfolio (X) and test the significance of the regression coefficient
Y 40.3 3.6 63.7 -35.2 67.5 37.5 20.0 19.3 -42.0 19.2
X 35.3 9.5 61.9 -29.3 19.5 31.0 14.0 45.5 -26.5 8.5

 

 

 

  1. Briefly discuss the test for significance of a subset of regression coefficients in a
    k-variable linear model. In a five-variable model Y= b1+b2 X 2 +b3 X3 + b4 X4 + b5 X5 , suppose that one wants to test H0 : b4 = b5 = 0 with 15 observations and computes the residual sums of squares under the full and restricted regression as 12.25 and 21.37 respectively. Can the hypothesis be  rejected at 5% level of significance?
  2. Explain the use of Dummy variables in regression analysis with an illustration.
  3. Give the motivation for Generalized least squares (GLS). For two variable linear model, state the GLS estimate of the slope parameter.
  4. “Econometrics is an amalgam of economic theory, mathematical economics and Mathematical Statistics; Yet, it is a subject on its own right” –

 

 

                                                                    PART – C                                    (2´20=40 marks)

Answer any TWO questions.

 

  1. Let (X,Y)have joint p.d.f. f (x, y) = 2-x-y , , , Find correlation coefficient between X and Y.
  2. To study the labour force participation of urban poor families, the following data were obtained from 12 regions:
Region % Labour force

(Y)

 Mean family Income

(in’ 100 Rupees)

(X2)

 Mean family size

(X3)
1

2

 64.3

45.4

 19.98

11.14

 2.95

3.40
3

4

 26.6

87.5

 19.42

19.98

 3.72

4.43
5

6

 71.3

82.4

 20.26

18.53

 3.82

3.90
7

8

 26.3

61.6

 16.66

14.34

 3.32

3.80
9

10

 52.9

64.7

 15.13

20.08

 3.49

3.85
11

12

 64.9

70.5

 17.04

15.25

 4.69

3.89

Carry out the regression  of Y on (X2 , X3). Test the significance of the overall
regression at 5%level of significance.

  1. (a) Explain the term structural change. Discuss the test procedure for the hypothesis of no
    structural change against the alternative hypothesis of structural change.
  • Discuss two methods of detecting heteroscedasticity and the remedies.      (10+10)
  1. What is ‘Multi collinearity’ problem. Discuss a method of detecting multi collinearity in a given data. Also, describe in detail, the remedial measures to overcome the undesirable effects of multi collinearity.

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Loyola College B.A. Economics Nov 2003 Select Constitutions Of The World Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI– 600 034

B.A. DEGREE EXAMINATION  –      ECONOMICS

THIRD SEMESTER  – NOVEMBER 2003

HT 3100/HIS 100    SELECT CONSTITUTIONS OF  THE WORLD                   

08.11.2003                                                                                        Max: 100 Marks

9.00 – 12.00

 

 

PART – A                             (10 ´2 = 20 Marks)

 

Answer any TEN of the following in not exceeding FIVE lines each.

 

  1. Sovereignty
  2. Theories of Divine Right
  3. Aristotle’s classification of Constitutions
  4. Oligarchy
  5. Parliamentary Democracy
  6. Collegiate Executive
  7. Primogeniture
  8. Collective Responsibility
  9. Judicial Review
  10. Popular Referendum
  11. Fifth Republic
  12. Administrative Law

 

             PART – B                                 (4 ´ 10 = 40 Marks)

 

Answer any FOUR of the following in not exceeding ONE page each.

 

  1. Examine the salient feature of the State and other Associations.
  2. Evaluate the typologies of Modern Dictatorship.
  3. Describe the structure and composition of the British Parliament.
  4. Analyse the significance of the Customs and Conventions in the British

Constitutions.

  1. Assess the role and function of the Speaker in the US congress.
  2. Explain the powers and function of the National Assembly in France.

 

 

PART – C                                (2 ´ 20 = 40 Marks)

 

Answer any TWO of the following in not exceeding FOUR pages each.

 

  1. Elucidate the position, Powers and functions of the British Prime Minister.
  2. Evaluate the composition.  Powers, functions and Legislative Procedure of the

US congress.

  1. Examine the salience features and process of Direct Democracy in Switzerland.

Assess the Significance, powers functions and role of the French President.

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Loyola College B.A. Economics Nov 2003 Resource Management Techniques Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.A., DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – NOVEMBER 2003

ST-3100/STA100 – RESOURCE MANAGEMENT TECHNIQUES

13.11.2003                                                                                                           Max:100 marks

9.00 – 12.00

SECTION-A

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

 

  1. Define optimal feasible solution.
  2. Mention any two disadvantages of using graphical method to solve a LPP.
  3. When should an artificial variable be introduced in LPP?
  4. Convert the following LPP into standard form:

Max.  Z= 3x1 + 5x2 + 8x3

S.t.         2x1 + 5x2  ≥ 10;

3x1 + 4x3 ≤ 25;

x1, x2, x3 ≥ 0.

  1. How will you covert a maximization type transportation problem into a minimization type?
  2. Mention the difference between transportation and assignment problems.
  3. What are the conditions under which a sequencing problem involving 3 machines can be converted to a problem of 2 machines?
  4. Define critical path.
  5. Define Total float.
  6. Give the formula for the cost equation in a single item EOQ model.

 

SECTION-B

Answer any FIVE questions.                                                                           (5×8=40 marks)

 

  1. Solve graphically the following LPP.

Minimize.  Z= 3x1 + 2x2

s.t.                 5x1 + x2  ≥ 10;   2x1 + 2x2 ≥ 12;    x1 + 4x2 ≥ 12;   x1, x2, ≥ 0.

  1. Using Big M method, show that the following LPP does not possess any feasible solution.

Max.  Z= 3x1 + 2x2

s.t.        2x1 + x2  ≤ 2;   3x1 + 4x2 ≥ 12;   x1, x2, ≥ 0.

  1. Find an initial feasible solution for the transportation problem using (i) North-West Corner rule (ii) Least cost Method.

Destination                     Availability

Origin              D1        D2        D3        D4         

O1                   1          2          1          4                      30

O2                   3          3          2          1                      50

O3                   4          2          5          9                      20

Requirement                20        40        30        10

  1. The following table gives the cost of transporting materials from supply points A,B,C,D to demand points E,F,G,H and J.

E          F          G         H         J

A           8        10        12        17        15

B         15        13        18        11          9

C         14        20          6        10        13

D         13        19          7          5        12

The present allocation is as follows:

AE  : 90 units;        AF : 10 units

BF  : 150 units ;     CF : 10  units

CG : 50   units ;     CJ  : 120 units

DH : 210 units ;     DJ  :  70  units

Check whether the above allocation is optimum.  If not, find an optimum schedule.

 

  1. The following matrix shows the profit (in Rs.) of assigning various jobs to different machines Assign the jobs the machines so as to maximize the total profit.

Machines                                    Jobs

I           II         III        IV        V

1                      5          11        10        12        4

2                      2            4          6          3        5

3                      3          12          5        14        6

4                      6          14          4        11        7

5                      7            9          8        12        5

  1. Determine the optimal sequence of jobs which minimizes the total elapsed time based on the following information. Also find the total elapsed time.

Job                   Processing time (in mts) of Machines

Ai        Bi         Ci

1                      3          3            5

2                      8          4            8

3                      7          2          10

4                      5          1            7

5                      2          5            6

  1. Calculate (i) total float for each activity (ii) Critical path and its duration for the following network.

 

 

 

 

 

 

 

 

  1. Define the following :

(i) Overstock   (ii) Lead time  (iii) Price Break           (iv) Set up cost.

 

 

SECTION-C

Answer any TWO questions.                                                                           (2×20=40 marks)

 

  1. a) Three products are processed through three different operations. The time (in mts)

required per unit of each product, the daily capacity of the operations (in mts per day)

and the profit per unit sold for each product (in Rs.) are as follows:

Time per units (in mts)                        Operation capacity

Operation                    Product I         Product II       Product II                   (mts / dat)

1                                 3                      4                     3                                   43

2                                 5                      0                     4                                   46

3                                 3                      6                     2                                   42

Profit/unit(inRs.)              2                      1                     3

The problem is to determine the optimum daily production for the products that maximizes the profit.  Formulate the above production planning problem as a LPP.

  1. b) Solve the following LPP using simplex method.

Minimize         Z = x1 – x2 + x3 + x4 + x5 – x6

s.t.         x1 + x4 + 6x6 = 9;

3x1 + x2 – 4x3 + 2x6 = 2;

x1 + 2x3 + x5 + 2x6 = 6;

xi, ≥ 0 for i = 1, 2, …, 6.                                                   (5+15)

 

 

 

 

  1. a) Explain the problem of transportation with an example.
  2. b) Solve the following transportation problem for minimizing the costs.

Destination                  Availability

Origin              D1        D2        D3        D4         

O1                   2          3          11        7                 6

O2                   1          0            6        1                 1

O3                   5          8          15        9               10

Demand                7          5            3        2

Use Vogel’s method to get the initial feasible solution.                                 (5+15)

  1. a) Average time taken by an operator on a specific machine is tabulated below. The

management is considering to replace one of the old machines by a new one and the

estimated time for operation by each operator on the new machine is also indicated.

Machines

Operators    1         2           3        4           5          6        New

A         10        12          8        10          8        12        11

B           9        10          8          7          8          9        10

C           8          7          8          8          8          6          8

D         12        13        14        14        15        14        11

E            9          9          9          8          8        10          9

F            7          8          9          9          9          8          8

  • Find out an allocation of operators to the old machines to achieve a minimum operation time
  • Reset the problem with the new machine and find out the allocation of operators to each machine and comment on whether it is advantageous to replace an old machine by the new one.
  1. b) Solve the following assignment problem with restrictions.

Jobs                                Machines

I           II         III        IV        V

1                      ¥         4          7          3          4

2                      4          ¥         6          3          4

3                      7          6          ¥         7          5

4                      3          3          7          ¥         7

5                      4          4          5          7          ¥                                      (14+6)

  1. a) The following table list the jobs of a network along with their time estimates (in days):

Job:                  (1,2)     (1,6)     (2,3)     (2,4)     (3,5)     (4,5)     (6,7)     (5,8)     (7,8)

Optimistic:      3          2          6          2          5          3          3          1          4

Most Likely:    6          5          12        5          11        6          9          4          19

Pessimistic:      15        14        30        8          17        15        27        7          28

  • Draw the project network diagram.
  • Calculate the expected task time and variances for each job.
  • Find the critical path.
  1. b) A manufacturer has to supply his customer with 600 units of his product per year.

Shortages are not allowed and the storage cost amounts to Rs.0.60 per unit per year.

The set up cost per run is Rs.80/-.  Find the optimum run size and minimum average

yearly cost.                                                                                                              (14+6)

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