2020/TDC/ODD/SEM/ ( 2 ) BCAC–501/183

2020/TDC/ODD/SEM/

BCAC–501/183

TDC Odd Semester Exam., 2020

held in July, 2021

COMPUTER APPLICATION

( Honours )

( 5th Semester )

Course No. : BCAC–501

Full Marks : 35

Pass Marks : 12

Time : 2 hours

The figures in the margin indicate full marks

for the questions

Answer five questions, selecting one from each Unit

UNIT—I

1. (a) Justify whether 2 21n nO+ = ( ) and

2 22n nO= ( ). 3

(b) Show that for any real constants a

and b, where b > 0

( ) ( )n a nb b+ = q 4

10-21/783 ( Turn Over )

( 2 )

2. (a) Show that an n element heap has

height ë ûlg n . 3

(b) Show that building a max or min heap

is of the order O n( ). 4

UNIT—II

3. Show how selection sort sorts the following

sequence keys : 7

64, 25, 12, 22, 11

4. Write an algorithm for merge sort. Show the

computing time for merge sort is O n n( log ). 7

UNIT—III

5. (a) Explain what is dynamic programming.

How does it differ from greedy methods? 5

(b) What is the optimal substructure

property of dynamic programming? 2

6. Explain travelling sales person problem with

proper example. 7

UNIT—IV

7. (a) Explain Breadth-First Search (BFS)

algorithm. 3

10-21/783 ( Continued )

( 3 )

(b) Calculate the minimum path P from

node A to node E of the graph G given

below :

Given that each edge has a length of 1. 4

8. Show how Depth-First Search works on the

graph given below :

Assume that the DFS procedure considers

the vertices in alphabetical order and also

assume that each adjacency list is ordered

alphabetically. Show the discovery and

finishing times of each vertex and show the

classification of each edge. 7

10-21/783 ( Turn Over )

( 4 )

UNIT—V

9. What is backtracking algorithm? Explain

how the n-queens problem is solved using

backtracking. 7

10. Write short notes on the following : 7

(a) NP-hard problems

(b) NP-complete problems

H H H

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A B C

D F E G

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2020/TDC/ODD/SEM/

BCAC–502/184


held in July, 2021


( Honours )

( 5th Semester )


( Computer Graphics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Define the following : 1×3=3

(i) Resolution

(ii) VGA

(iii) RGB color

(b) Explain raster scan display. 4

10-21/784 ( Turn Over )

( 2 )

2. (a) Explain CMY color model. 3

(b) A screen has resolution of 800×600 and

follows interlaced raster technique.

Calculate the time if vertical and

horizontal retrace time is 1 sec each. 4

UNIT—II

3. (a) What is scan conversion? What are the

different types of scan conversion in

computer graphics? 3

(b) Write the boundary-fill algorithm and

explain 4-way adjacency. 4

4. (a) Write the Bresenham’s circle algorithm. 4

(b) How are different geometric shapes

generated using a cone? Draw the

diagrams. 3

UNIT—III

5. Discuss the basic 2-D transformations with

example. 7

6. (a) Compare Cartesian coordinate system

with polar coordinate system. 3

(b) Explain clipping. 4

10-21/784 ( Continued )

( 3 )

UNIT—IV

7. (a) Discuss 3-D rotation. 4

(b) Draw the 3-D viewing pipeline. 3

8. (a) Compare quadtree with octree. 3

(b) Explain the surface rendering

techniques. 4

UNIT—V

9. Write short notes on the following : 3½×2=7

(a) 3-D film

(b) 3-D animation

10. What is morphing? Why is it used? Explain

the steps of morphing. 7

H H H

2020/TDC/ODD/SEM/

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2020/TDC/ODD/SEM/

BCAC–503/185


held in July, 2021


( Honours )

( 5th Semester )


( Fundamentals of E-Commerce )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. What is meant by e-commerce? Discuss

the importance of consumer to business

e-commerce. 2+5=7

2. Describe in detail the inter- and intra-

organization e-commerce. What is broadband

telecommunication? 4+3=7

10-21/785 ( Turn Over )

( 2 )

UNIT—II

3. Discuss different types of threats in web.

Discuss any two measures of web security.

3½+3½=7

4. Discuss the applications of mobile

computing. 7

UNIT—III

5. Discuss the utility of secret key encryption

and public key encryption. 3½+3½=7

6. Write notes on www and security encryption.

3½+3½=7

UNIT—IV

7. What is meant by smart cards? Write down

the relative merits and demerits of credit

cards. 3+4=7

8. Write a note on online banking. Suppose you

want to purchase ‘Economic and Political

Weekly’ magazine online. Write down the

steps of purchasing the magazine online.

3+4=7

10-21/785 ( Continued )

( 3 )

UNIT—V

9. Discuss in detail the applications of EDI in

business and commerce. 7

10. Discuss in detail some important issues in

consumer relationship management. 7

H H H

2020/TDC/ODD/SEM/

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2020/TDC/ODD/SEM/BCSH–501/215


held in July, 2021

COMPUTER SCIENCE

( Honours )

( 5th Semester )

Course No. : BCSH–501

( Programming in JAVA )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Describe Java Virtual Machine (JVM). 3

(b) What are the features of Java? Explain. 4

2. (a) Why is Java known as platform-

independent language? 3

(b) Explain automatic-type conversion and

casting with suitable example. 4

10-21/837 ( Turn Over )

( 2 )

UNIT—II

3. (a) Write the differences between over-

loading and overriding methods with a

code segment. 4

(b) Differentiate among the following

terms : 3

‘final’, ‘finally’ and ‘finalize’

4. (a) Define Java Package with example.

What are the advantages of Java

Package? 3

(b) Distinguish between abstract class and

interface. 4

UNIT—III

5. (a) Describe the complete life cycle of a

thread. 5

(b) What is the significance of random

access file? 2

6. (a) What is an exception in Java? 1

(b) Write a program to create a try block

that is likely to generate three types of

exception and then incorporate

necessary catch block to catch and

handle them appropriately. 6

10-21/837 ( Continued )

( 3 )

UNIT—IV

7. Define applet. Write the steps involved in

developing and running an applet program.

1+6=7

8. (a) What is layout manager? What are the

different types of layout manager in

JDK? 1+2=3

(b) What is swing? Write the differences

between swing and AWT. 1+3=4

UNIT—V

9. Define JDBC. How is a statement created

and executed in JDBC? 2+5=7

10. (a) How many types of JDBC drivers are

there? Mention all the names. 2

(b) How can a database connection be

established or opened in Java? 5

H H H

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held in July, 2021

COMPUTER SCIENCE

( Honours )

( 5th Semester )


( Microprocessor and Assembly

Language Programming )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

Answer five questions, taking one from each Unit

UNIT—I

1. (a) What are different types of ad- dressing

modes in 8085 microprocessor?

Explain with examples. 5

(b) What is the function of accumulator? 2

10-21/838 ( Turn Over )

( 2 )

2. (a) In 8085 microprocessor, what are the

purposes of program counter and stack

pointer 16-bit registers? 4

(b) What are different types of instruction

format? 3

UNIT—II

3. What do you mean by assembler

pseudo-instructions? Explain the working

principle of 8086 assembler pseudo-

instructions. 7

4. (a) Describe the operation an 8086

microprocessor will perform when it

executes ADD AX, BX. 4

(b) Describe the differences between the

instructions MOV AX, 2437H and MOV

AX., [2437 H]. 3

UNIT—III

5. Explain the purpose of the following

registers : 7

(a) Point and index registers

(b) Segment registers

(c) Flags

(d) Program invisible registers

10-21/838 ( Continued )

( 3 )

6. (a) List the sequence of events that occurs

when the 8085 microprocessor unit

reads from memory. 4

(b) Explain about two conditions of flags of

8085/8086 microprocessor. 3

UNIT—IV

7. Describe the memory mapped I/O and I/O

mapped I/O with suitable examples. What

are their differences? 7

8. What is memory address decoding? What is

memory interfacing? Explain an interfacing

circuit using a 3 to 8 decoder to interface a

2732 EPROM memory chip. 7

UNIT—V

9. What do you mean by Direct Memory Access

(DMA)? Illustrate the 8237 programmable

controller briefly. 7

10. (a) Why is DMA data transfer faster than

doing the same data transfer with

program instructions? 3

(b) Describe the three major tasks needed

to get meaningful information from an

8279 programmable keyboard. 4

H H H

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held in July, 2021

COMPUTER SCIENCE

( Honours )

( 5th Semester )


( Operating System Architecture )

Full Marks : 35

Pass Marks : 12

Time : 2 hours

The questions are of equal value


UNIT—I

1. What do you mean by preemptive and

non-preemptive scheduling? Explain the shortest

job-first algorithm and discuss its advantages

and disadvantages.

10-21/839 ( Turn Over )

( 2 )

2. Give one example showing why FIFO is not

an appropriate CPU scheduling scheme for

interactive uses.

UNIT—II

3. Explain the mapping of virtual addresses to real

addresses under combined segmentation/paging.

4. Discuss the principle of virtual memory

management for a multiuser operating system.

UNIT—III

5. Define interrupt. Why does it occur? Illustrate

how a system handles and services interrupt.

6. Discuss in detail the various seek optimization

strategies.

UNIT—IV

7. What is a computer virus? What is the difference

between a virus and a worm?

8. Discuss the notion of transparency in distributed

file systems of heterogeneous computers.

10-21/839 ( Continued )

( 3 )

UNIT—V

9. Explain the following terms :

(a) Deadlock avoidance

(b) Deadlock detection

(c) Deadlock prevention

10. What do you understand by critical node section?

Discuss the mutual exclusion problem.

H H H

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held in July, 2021

BOTANY

( Honours )

( 5th Semester )

Course No. : BOTH–501

( Biology and Systematics of Angiosperms )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

Answer five questions, taking one

from each Unit

UNIT—I

1. (a) What is taxonomy? What are the aims

and objectives of plant taxonomy? Write

the striking point of difference between

taxonomy and systematics. 1+2+2=5

(b) Write a brief note on phylogeny. 2

10-21/831 ( Turn Over )

( 2 )

2. (a) Define nomenclature. Write the

importance of binomial nomenclature.

Mention the names of different taxa

with their suffix ending along with

examples. 1+2+2=5

(b) Write the basic components of plant

systematics. 2

UNIT—II

3. (a) What is flora? How does flora differ from

monograph? Write the names of floras

published by J. D. Hooker and U. N.

Kanjilal. 1+2+2=5

(b) Write a brief note on taxonomic

journals. 2

4. (a) What is a manual? Give example of a

manual. Define icon with example.

1+1+1=3

(b) Write a note on value of computer and

data bases in the study of plant

taxonomy. 4

UNIT—III

5. (a) What is binomial? Write four important

rules of binomial nomenclature. 1+2=3

10-21/831 ( Continued )

( 3 )

(b) Write a brief note on names of hybrids

and cultivars. What is author citation?

2+2=4

6. (a) Write a brief note on principle of

priority. 3½

(b) Give an account on various

nomenclatures used in taxonomy. 3½

UNIT—IV

7. (a) Write an account on origin of

angiosperms with reference to

Gnetalean theory. What do you mean by

herbaceous origin of angiosperm? 2+2=4

(b) Give a brief account on characteristic

features of primitive angiosperms. 3

8. (a) Explain how the study of coevolution of

angiosperms and animals helps in

understanding the evolutionary trends

in angiosperms. 5

(b) Write a brief note on Caytoniales theory

of origin of angiosperms. 2

UNIT—V

9. (a) Write a note on importance of

anatomical characters in the study of

plant taxonomy. 5

10-21/831 ( Turn Over )

( 4 )

(b) Give a brief account on numerical

taxonomy. 2

10. (a) Mention the importance of

cytotaxonomy and chemotaxonomy in

helping the study of angiosperms. 5

(b) Write the significance of bioinformatics

in the study of plant taxonomy. 2

H H H

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held in July, 2021

BOTANY

( Honours )

( 5th Semester )


( Environmental Biology )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Name one biotic component of an

ecosystem. 1

(b) Describe how biotic components of

environment interact with each other. 6

2. (a) Discuss fire as an ecological factor. 2

(b) What do you mean by biotic and abiotic

interactions? 5

10-21/832 ( Turn Over )

( 2 )

UNIT—II

3. (a) Define ecosystem. 1

(b) Briefly describe the structure and

function of forest ecosystem. 6

4. (a) Write down the scientific names of two

plants found in grasslands. 2

(b) Give an account of the grassland

ecosystems. 5

UNIT—III

5. (a) Write down briefly the aims and

objectives of IUCN. 4

(b) Write a note on non-conventional

energy resources. 3

6. (a) Define ex-situ and in-situ methods

of biodiversity conservation with

examples. 4

(b) Write a note on management of

non-renewable energy resources. 3

10-21/832 ( Continued )

( 3 )

UNIT—IV

7. (a) Define acid rain. 1

(b) What are the various sources of air

pollution? Discuss the health hazards

and control measures of air pollution.

1+2½+2½=6

8. (a) What do you mean by suspended

particulate matter (SPM)? 1

(b) Write short notes on radioactive

pollution and thermal pollution. 3+3=6

UNIT—V

9. (a) Name two international organisations

involved in environmental management. 2

(b) Discuss the role of international

organisation for the environmental

management. 5

10. (a) Write a note on BNHS. 2

(b) Discuss the role of CBD (Convention on

Biological Diversity) and SSC (Species

Survival Commission) in biodiversity

management. 5

H H H

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held in July, 2021

BOTANY

( Honours )

( 5th Semester )


( Genetics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Give an account of dihybrid cross of

Mendel. 5

(b) Why did Mendel select pea plants for his

experiment? 2

2. Write notes on the following : 3½+3½=7

(a) Epistatic factor

(b) Supplementary factor

10-21/833 ( Turn Over )

( 2 )

UNIT—II

3. Describe multiple alleles in man with

reference to blood groups. Add a note on self-

incompatibility in plants. 3½+3½=7

4. (a) Write a note on multiple factor

hypothesis. 3

(b) Give a detailed account of descriptive

statistics. 4

UNIT—III

5. (a) Describe in brief interference and

coefficient of coincidence. 4

(b) Write about coupling and repulsion

phases. 3

6. Give an account of sex-linked inheritance in

man with suitable examples. Write a note on

sex-limited characters. 5+2=7

UNIT—IV

7. (a) Write a note on cytoplasmic inheritance. 3½

(b) Give a brief account of mitochondrial

inheritance in yeast. 3½

8. (a) Define chromosomal aberrations. 2

(b) Describe various types of chromosomal

aberrations with necessary diagrams. 5

10-21/833 ( Continued )

( 3 )

UNIT—V


(a) Autopolyploids

(b) Monosomics and trisomics


(a) Gene mutation

(b) Genetic code

H H H

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2020/TDC/ODD/SEM/

BTCH–501/321


held in July, 2021

BIOTECHNOLOGY

( Honours )

( 5th Semester )

Course No. : BTCH–501

( Recombinant DNA Technology—I )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

1. Describe different steps of cloning with

suitable diagram. 7

OR

2. Describe Sanger’s sequencing method. 7

3. Describe the principle of PCR technique.

Explain different steps of PCR. 7

10-21/786 ( Turn Over )

( 2 )

OR

4. What is cosmid vector? What are the

advantages of cosmid vectors? 7

5. How is DNA polymorphism analyzed?

Discuss one method to study DNA

polymorphism. 7

OR

6. What is cDNA? Describe different steps

involved in preparation of cDNA. 7

7. Write short notes on any two of the

following : 3½×2=7

(a) BAC

(b) Nucleic acid purification

(c) YAC

(d) Gene therapy

8. Discuss site-directed mutagenesis. 7

OR

9. Describe strategies used for expression of

gene in prokaryotes. 7

H H H

2020/TDC/ODD/SEM/

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2020/TDC/ODD/SEM/

BTCH–502/322


held in July, 2021

BIOTECHNOLOGY

( Honours )

( 5th Semester )


( Plant Biotechnology—I )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

1. Write a note on totipotency. Give a detailed

account of in vitro culture methods. 2+5=7

OR

2. Write about culture media. Add a note on

in vitro pollination and fertilization. 3+4=7

3. Give an illustrated account of embryo culture

and its applications. 4+3=7

10-21/787 ( Turn Over )

( 2 )

OR

4. Write notes on the following : 3½×2=7

(a) Callus culture

(b) Nucleus culture

5. Define micropropagation. Point out its

advantages. Give a brief account of meristem

culture. 1+2+4=7

OR


(a) In vitro production of haploids

(b) Process of androgenesis

7. Write the types of suspension culture with

suitable examples. Describe briefly the

technique of single-cell culture and its

applications. 3+4=7

OR


(a) Osmoticum

(b) Protoplast purification

10-21/787 ( Continued )

( 3 )

9. Write a brief account of cybrids. Add a note

on testing of protoplast viability. 3+4=7

OR

10. Define somatic hybridization. Describe the

potential of somatic hybridization. Point out

its limitation. 1+4+2=7

H H H

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2020/TDC/ODD/SEM/BTCH–503/323


held in July, 2021

BIOTECHNOLOGY

( Honours )

( 5th Semester )


( Environmental Biotechnology )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

1. Describe firewood as a natural resource. Add

a note on coal. 4+3=7

OR

2. Define conventional fuel. Differentiate

between renewable and non-renewable

resources. Write briefly about modern fuel.

1+3+3=7

10-21/788 ( Turn Over )

( 2 )


(a) Biogas production

(b) Production of hydrogen by microbes

OR

4. Write about solar energy convertors. Give a

brief account of possibility of plant-based

petroleum industry. 3½+3½=7


(a) Cellulose decomposition for combustible

fuel

(b) Sewage treatment

OR

6. Define biomineralization. Give a detailed

account of the role of biotechnology in

pollution control. 2+5=7

7. What do you mean by bioaccumulation?

Write a note on the enrichment of ores by

microorganisms. 2+5=7

OR

8. Write about BT as a natural pesticide. Add

a note on bioassessment of environmental

quality. 3+4=7

10-21/788 ( Continued )

( 3 )

9. Write notes on any two of the following :

3½×2=7

(a) Current levels of biodiversity

(b) Gene bank

(c) Extinct and endangered species

(d) Species conservation

H H H

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held in July, 2021

CHEMISTRY

( Honours )

( 5th Semester )

Course No. : CHMH–501

( Inorganic Chemistry—V )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Outline a Born-Haber cycle for the

formation of an ionic compound MCl.

Define the terms used. 2+1=3

(b) Show by means of a diagram and

a simple calculation, the minimum

value of the radius ratio r r+ -/ which

permits a salt to adopt a caesium

chloride-type structure. 2+2=4

10-21/834 ( Turn Over )

( 2 )

2. (a) What are crystal lattice and unit cells?

How do you find the number of atoms

in a cubic unit cell? 1+2=3

(b) Describe the nature of Frenkel and

Schottky defects. Do either of these

defects by themselves give rise to non-

stoichiometry? Explain. 2+2=4

UNIT—II

3. (a) What is the principle of colorimetry?

What is colorimeter used for? 2+2=4

(b) What is the principle of flame

photometry? Which gas is used in flame

photometry? 2+1=3

4. (a) How does ion-exchanger work? Give

examples of a natural and a synthetic

ion-exchanger. 2+2=4

(b) How are lanthanide ions separated by

the ion-exchange method? Discuss. 3

UNIT—III

5. (a) What do precision and accuracy mean?

How can precision be improved? 2+1=3

(b) What are the rules for significant

figures? How many significant digits

does 10·097 have? 3+1=4

10-21/834 ( Continued )

( 3 )

6. (a) What do you mean by absolute error

and relative error? Give examples. 3

(b) Analysis of a sample of iron ore gives

the following percentage values for the

iron content :

7·08, 7·21, 7·12, 7·09, 7·16,

7·14, 7·07, 7·14, 7·18, 7·11

Calculate the mean and standard

deviation. 4

UNIT—IV

7. (a) Write the basic principle of infrared

spectroscopy. 3

(b) How is infrared spectroscopy helpful to

determine the terminal and bridging

carbonyl group in metal carbonyls?

Explain by taking a suitable example. 4

8. (a) What is the purpose of UV-visible

spectroscopy? What is the spectrum

range of UV and visible spectroscopy?

1+2=3

(b) Draw and explain the UV-VIS spectrum

of Ti3+ ion in aqueous solution. 1+3=4

10-21/834 ( Turn Over )

( 4 )

UNIT—V

9. (a) The high-spin d 4 complex [ ( ) ]Cr H O2 62+

is stable, but the low-spin d 4 complex

ion [ ( ) ]Cr CN 64- is inert. Explain. 3

(b) In the reaction

[ ( ) ] [ ( ) ]Co NH Cr H O3 63

2 62+ ++

likely to proceed by an inner-sphere or

an outer-sphere mechanism. Explain

your answer. 4

10. (a) What is trans-effect? How does this

concept help in the synthesis of many

cis- and trans-isomers of platinum (II)

complexes? How would you proceed to

offer an explanation of this effect?

1+2+2=5

(b) What is ligand substitution reaction?

Give an example where substitution

reaction is taking place without

breaking metal-ligand bond. 1+1=2

H H H

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held in July, 2021

CHEMISTRY

( Honours )

( 5th Semester )


( Organic Chemistry—V )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Suggest suitable mechanism for the

following reactions : 2½×2=5

10-21/835 ( Turn Over )

( 2 )

(b) What are Michael reactions? Discuss

the mechanism of such reactions with

suitable examples. 2

2. (a) Complete the following reactions, name

them and write their mechanism : 3×2=6

(b) Write the product of the following : 1

UNIT—II

3. (a) Write the mechanism of Fischer indole

synthesis. 3

(b) Explain the order of basicity of pyridine,

piperidine and pyrrole. 2

(c) Complete the following reactions : 1×2=2

10-21/835 ( Continued )

(i)

(ii)

O

CH3 + BrCH2

O

OEtC Zn/Ether

+H O3CH3

CH

O

OEtC

COOEt+ H C(COOC H )2 2 5 2

C H ONa2 5?

(i)

(ii)

+ HCHO + HNMe2 ?

O + Ph P=CH3 2 ?

O

O

EtO

O

?CN

CH CHO3

(i)

(ii)

N

H

CHCl3KOH

?

N

NaNH2

Liq.NH3?

( 3 )

4. (a) Explain the following observations : 2×2=4

(i) Electrophilic substitution in pyrrole

takes place at 2-position but that

in pyridine occurs at 3-position.

(ii) Thiophene is more aromatic in

nature than furan and pyrrole.

(b) Complete the following reactions : 1×3=3

UNIT—III

5. (a) Write a brief note on metastable ion. 2

(b) Explain why the intensity of

n ® *p transition is relatively lower

than p p® * transition. 2

(c) Distinguish between the following

pair of compounds by UV-visible

spectroscopy : 3

10-21/835 ( Turn Over )

( 4 )

6. (a) How can you distinguish CH CH OH3 2

and CH COCH3 3 by IR spectroscopy? 2

(b) Write the possible range of IR spectra

for the following compounds : 1×2=2

(c) Identify the geometric isomers of

stilbene H C CH CHC H5 6 6 5= , from their

lmax values 294 nm and 278 nm with

appropriate reason. 2

(d) What is molecular ion peak? 1

UNIT—IV

7. (a) Draw and explain different steps in the

Jablonski diagram. 3

(b) Provide the mechanisms of the

following : 2×2=4

(i) Photoreduction of benzophenone

(ii) Photo-Fries rearrangement

8. (a) Discuss Frank-Condon principle. 2

(b) What is Norrish Type–I reaction? Give

one example. 2

10-21/835 ( Continued )

(i)

(ii)

S

CH COCl3

SnCl4?

N

N

?

(iii)

N MeI?

BuLi

and

(i)

(ii)

CH COOH3

COOH

( 5 )

(c) Complete the following reactions and

write the mechanism : 1½×2=3

UNIT—V

9. (a) Write the structures with names of

the bases present in DNA and RNA. 3

(b) What are enzymes? Write two

characteristics of enzyme. 1+2=3

(c) What are coenzymes? 1

10. (a) What is ATP? How does ATP energise

a biological reaction? 2

(b) Discuss the process of glycolysis. 3

(c) Write the structure of a bile acid and

discuss its function. 2

H H H


(i)

(ii)

CH3 CH CH CH2 2 3

O

C hn

hn

?

?

O O



held in July, 2021

CHEMISTRY

( Honours )

( 5th Semester )


( Physical Chemistry—V )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) State the third law of thermodynamics.

Explain its importance. 1+3=4

(b) How can you test the validity of third

law of thermodynamics? 2

10-21/836 ( Turn Over )

( 2 )

(c) Choose the correct option :

A chemical reaction proceeds with

increase in both the enthalpy ( )DH and

entropy ( )DS . It will be spontaneous, if—

(i) D DH T S=

(ii) D DH T S>

(iii) D DH T S<

(iv) None of the above 1

2. (a) State and explain Nernst heat theorem.

Show how it leads to third law of

thermodynamics. 2+2=4

(b) What is residual entropy? “Residual

entropy of ice at 0 K is 3·3 JK -1 but that

of hydrogen is 6·2 JK -1.” Explain. 1+2=3

UNIT—II

3. (a) Mention some of the differences

between the photochemical and thermo-

chemical reactions. 3

(b) What is chemiluminescence? Give

examples of it. 2

(c) Explain the primary and secondary

processes in photochemical reactions. 2

10-21/836 ( Continued )

( 3 )

4. (a) When a substance A was exposed

to light, 0·002 mole of it reacted in

20 minutes and 4 seconds. At the

same time, A absorbed 2 0 106× ´

photons of light per second. Calculate

the quantum yield of the reaction.

(Avogadro’s number N = × ´6 023 1023 ) 2

(b) Draw a neat Jablonski diagram,

showing various photochemical

reactions and explain them. 3

(c) Enumerate the causes for high- and

low-quantum yield in photochemical

reactions. 2

UNIT—III

5. (a) What are selection rules for vibrational

and rotational spectra? 2

(b) Derive an expression for the rotational

energy of a diatomic molecule taking

it as a rigid rotator. 3

(c) What type of molecules gives

rotational spectra? Which of the

following molecules will show rotational

spectra? 1+1=2

H2 , O2 , CO, HCl

10-21/836 ( Turn Over )

( 4 )

6. (a) Show that for a rigid diatomic rotator,

the moment of inertia is given by

I r= m 2 . 2

(b) The pure rotational (microwave)

spectrum of gaseous HCl consists of

a series of equally spaced lines

separated by 20·80 cm -1. Calculate the

internuclear distance, i.e., bond length

of the molecule. The atomic masses

are—

1 271 673 10H kg= × ´ -

35 2758 06 10Cl kg= × ´ -3

(c) Mention the different types of electro-

magnetic radiations along with

frequency ranges. 2

UNIT—IV

7. (a) Using a harmonic oscillator model,

show that the frequency of a photon

absorbed by a diatomic molecule is

equal to that of its vibration. 3

(b) Explain Born-Oppenheimer approxi-

mation in relation to electronic spectra

of molecule. 2

10-21/836 ( Continued )

( 5 )

(c) How many modes of vibrations are

possible for a linear and a non-linear

molecule? 2

8. (a) Show diagrammatically the electronic

transition for carbonyl group

in the electronic spectra. 3

(b) What are meant by shielding and

deshielding of protons? 2

(c) Why is tetramethylsilane used as

a reference in NMR spectroscopy? 2

UNIT—V

9. (a) Classify liquid crystals on the basis of

their molecular structure. 2

(b) Draw vapour pressure temperature

curve for a substance undergoing

mesomorphic change. Explain it in

detail. 1½+1½=3

(c) State the differences between electron

and ion-conducting polymers. 2

10. (a) What is critical micelle concentration?

Draw the phase diagram for an ionic

surfactant and mention the Kraff

temperature. 1+2=3

10-21/836 ( Turn Over )

( 6 )

(b) Define liquid-glass transition and

glass transition temperature. Show

how glass transition temperature can

be measured by differential scanning

calorimetry, giving heat capacity versus

temperature curve. 2+2=4

H H H


C=O

2020/TDC/ODD/SEM/MTMH–501/260


held in July, 2021

MATHEMATICS

( Honours )

( 5th Semester )

Course No. : MTMH–501

( Numerical Analysis )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What do you mean by interpolation?

Which interpolation formula is most

applicable for interpolating the value

near the end of a set of tabulated

values? 2

10-21/822 ( Turn Over )

( 2 )

(b) Define the divided differences of order n

for a function f x( ). Prove that for equally

spaced interpolating points

x x x xn0 1 2, , , ,L

where

x x rh r nr = + =0 1 2( , , , )L

for some h > 0

f x x x xf x

n hn

n

n( , , , , )

( )

!0 1 2

0L =

D

5

2. (a) How many digits are to be taken in

computing 20, so that the error does

not exceed 0·1%? 2

(b) Explain the principle of propagation of

errors and explain how it effects

numerical computation. 5

UNIT—II

3. (a) Establish Newton’s forward interpola-

tion formula. 4

(b) The following table gives values of f x( )

corresponding to those of x :

x : 0 1 2 3 4

f x( ) : 3 6 11 18 27

Find the form of the function f x( ). 3

10-21/822 ( Continued )

( 3 )

4. Find f ( )21 and f ( )38 from the following table : 7

x : 20 25 30 35 40

f x( ) : 57·61 51·35 48·15 44·32 40·62

UNIT—III

5. (a) State Stirling’s and Bessel’s interpola-

tion formula, when are they used? 3

(b) The values of x and f x( ) are given in the

following table :

x : 25 30 35 40 45

f x( ) : 1·39794 1·47712 1·54407 1·60206 1·65321

Calculate the value of f ( )37 using

Gauss forward difference formula. 4

6. Compute f ( )q for q = °15 , from the following

table : 7

q : 10° 12° 14°

f ( )q : 0·176327 0·212556 0·249328

q : 16° 18° 20°

f ( )q : 0·286745 0·324920 0·363970

using (a) Stirling’s formula and (b) Bessel’s

formula.

10-21/822 ( Turn Over )

( 4 )

UNIT—IV

7. (a) Explain the method of bisection for

computing a simple real root of an

equation f x( ) = 0 and discuss the

convergence of this iterative process. 5

(b) Write the advantage and disadvantage

of Regula-falsi method. 2

8. (a) Compute a root of

x xlog = 1

by Regula-falsi method, correct to three-

decimal places. 3

(b) Use the functional iteration method to

find a root of the equation

x x3 3 1 0+ - = 4

UNIT—V

9. (a) Obtain Simpson’s one-third rule for

numerical integration and give the

geometrical significance of it. 5

(b) Finddy

dxat x = ×1 2 from the following

table : 2

x : 1 2 3 4 5 6

y : 1·987 2·954 3·894 4·794 5·646 6·442

10-21/822 ( Continued )

( 5 )

10. (a) Calculate the value of

x

xdx

10

1

+ò

correct up to three significant figures

taking six intervals by Simpson’s

one-third rule. 4

(b) Using trapezoidal rule, evaluate

cosx dx0

1

ò

correct up to 3-significant figures by

taking five equal sub-intervals. 3

H H H

2020/TDC/ODD/SEM/

10-21—PDF/822 MTMH–501/260

2020/TDC/ODD/SEM/MTMH–502/261


held in July, 2021

MATHEMATICS

( Honours )

( 5th Semester )


( Linear Programming )

Full Marks : 50

Pass Marks : 17

Time : 2 hours


for the questions


UNIT—I

1. (a) Discuss the advantages and

disadvantages of a model in OR. 5

(b) Discuss the development of OR in India. 5

10-21/823 ( Turn Over )

( 2 )

2. (a) Discuss assumptions of proportionality,

aditivity, continuity, certainty and finite

choices in the context of linear

programming. 5

(b) Find the maximum value of

Z x x= +2 31 2

subject to

x x

x x

x x x

1 2

2 2

1 2 1

30

3 12

0 0 20

+ £

³ £

- ³ £ £

,

, 5

UNIT—II

3. (a) Show that the convex combination of all

feasible solutions to an LPP is again a

feasible solution to the LPP. 5

(b) Show that the intersection of two convex

sets is also a convex set. 3

(c) Show that a hyperplane is a convex set. 2

4. (a) Show that the set of all feasible

solutions of an LPP is a convex set. 5

(b) Show that a closed convex set which is

bounded from below has extreme points

on every supporting hyperplane. 5

10-21/823 ( Con tin ued )

( 3 )

UNIT—III

5. (a) What is the role of surplus variable in

simplex method? 2

(b) Write the steps involved in two-phase

simplex method. 5

(c) Explain the following with reference to

LPP : 3

Entering variable, leaving variable

6. (a) Use the Big M-method to

Minimize Z x x= +60 801 2

x

x

x x

x x

1

2

1 2

1 2

400

200

500

0

£

³

+ =

³, 5

(b) Show that the LPP

Maximize Z x x x x= + + +2 3 41 2 3 4

subject to

- - - + £

- + + £

+ - + £

x x x x

x x x x

x x x x

1 2 3 4

1 2 3 4

1 2 3 4

5 9 6 2

3 3 10

2 3 7 8 0

x x x x1 2 3 4 0, , , ³

has unbounded solution. 5

10-21/823 ( Turn Over )

( 4 )

UNIT—IV

7. (a) Obtain the dual problem of the following

LPP :

Max Z x x x= + +2 5 61 2 3

subject to

5 6 3

2 4 4

5 3 1

3 3 7

1 2 3

1 2 3

1 2 3

1 2 3

x x x

x x x

x x x

x x x

+ - £

- + + £

- + £

- - + £ 6

01 2 3x x x, , ³

Also verify that the dual of the dual is

primal itself. 5

(b) Solve the LPP by duality theory

Max Z x x x= + +2 31 2 3

subject to

x x x

x x x

x x x

1 2 3

1 2 3

1 2 3

2 5

2 3 4 12

0

+ + £

+ + =

³, , 5

8. (a) Find the initial basic feasible solution to

the following transportation problem by

(i) minimum cost method

(ii) north-west corner rule

10-21/823 ( Con tin ued )

( 5 )

State which of the methods is better.

To Supply

From

2 7 4 5

3 3 1 8

5 4 7 7

1 6 2 14

Demand 7 9 18 6

(b) Prove that a necessary and a sufficient

condition for the existence of a feasible

solution to a transportation problem is

that—

total supply = total demand 2+2=4

UNIT—V

9. (a) Find the optimal assignment and the

optimal cost from the following cost

matrix : 7

M1 M2 M3 M4

J1 9 6 6 5

J2 8 7 5 6

J3 8 6 5 7

J4 9 9 8 8

(b) Give a mathematical formulation of the

assignment problem. 3

10-21/823 ( Turn Over )

( 6 )

10. (a) Explain the difference between a

transportation problem and an

assignment problem. 4

(b) Discuss the steps of Hungarian method. 6

H H H

2020/TDC/ODD/SEM/

10-21—PDF/823 MTMH–502/261

2020/TDC/ODD/SEM/

MTMH–503 (A/B)/262


held in July, 2021

MATHEMATICS

( Honours )

( 5th Semester )


Full Marks : 50

Pass Marks : 17

Time : 2 hours


for the questions

Candidates have to answer either Option—A

or Option—B

OPTION—A

Course No. : MTMH–503 (A)

( ADVANCED ALGEBRA )


UNIT—I

1. (a) Let G be a group. Show that the set

of conjugate classes of G is a partition

of G. 5

10-21/824 ( Turn Over )

( 2 )

(b) Let G be a finite group of order pn ,

where p is a prime and n > 0. Thenshow that G has a non-trivial centre. 5

2. (a) Let G be a group containing an elementof finite order n > 1 and exactly twoconjugacy classes. Prove that | |G = 2. 5

(b) Define conjugacy class in a group. Listall the conjugacy classes of S3 . 5

UNIT—II

3. (a) Locate the system normalizers of S4 . 5

(b) Let H be a subgroup of a group G. Provethat the number of conjugates of H in Gis the index of N H( ) in G. 5

4. (a) Let H be a proper subgroup of finiteorder group G. Show that G is not theunion of all conjugates of H. 5

(b) Determine the class equation for non-Abelian groups of order 39 and 55. 5

UNIT—III

5. (a) Let G and H be finite cyclic groups.Show that G HÅ is cyclic iff | |G and | |Hare relatively prime. 5

(b) Prove that a factor group of a solvablegroup is solvable. 5

10-21/824 ( Continued )

( 3 )

6. (a) Prove that the external direct product of

any finite number of groups is a group. 5

(b) Let N be a normal subgroup of a

group G. If both N and G N/ are

solvable, then prove that G is solvable. 5

UNIT—IV

7. (a) Prove that in a PID, an element is

irreducible iff it is a prime. 4

(b) Prove that every PID is a UFD. 6

8. (a) Show that if D is an integral domain,

then D x[ ] is an integral domain. 5

(b) If R is a commutative ring, then show

that the characteristic of R x[ ] is the

same as the characteristic of R. 5

UNIT—V

9. (a) Show that the field of quotients of z

is Q. 5

(b) Prove that an R-module M is Noetherian

iff every submodule of M is finitely

generated.5

10-21/824 ( Turn Over )

( 4 )

10. (a) Let R be a ring. Prove that R is Artinian

iff every non-empty set S of left ideals of

R has a minimal element. 5

(b) Let D be an integral domain and F be

the field of quotients of D. Show that if

E is any field that contains D, then E

contains a subfield that is ring-

isomorphic to F . 5

OPTION—B

Course No. : MTMH–503 (B)

( SPECIAL FUNCTIONS )


UNIT—I

1. Define Legendre’s differential equation and

hence find the solutions of Legendre’s

differential equation. 2+8=10

2. (a) Prove that

P xd

x xn

n( )

[ cos ]=

± - +ò1

12 10p

f

f

p

when n is a positive integer. Hence show

that P Pn n- + =( )1 . 5+2=7

(b) Define Legendre’s function of first kind. 3

10-21/824 ( Continued )

( 5 )

UNIT—II

3. (a) Prove that

( )( )

( )( )x P P dx

n n

n nn n

211

11

2 1

2 1 2 3- ¢ =

+

+ ++-ò 5

(b) Prove that

2 1 1¢ = - ¢- +J x J x J xn n n( ) ( ) ( )

where dashes denote the differentiation

with respect to x. 5

4. (a) Prove that Pn ( )0 0= for n odd and

Pn

nn

n

n( )

( ) |

{| / }

/

01

2 2

2

2=

-

for n even. 3+4=7

(b) Prove that nn

xn nP P P= ¢ - ¢ -1, where

dashes denote differentiation with

respect to x. 3

UNIT—III

5. (a) Find L F t{ ( )}, where

F te t

t t

t

( ),

,=

< £

>

ìíî

0 1

1 4

10-21/824 ( Turn Over )

( 6 )

(b) Find the value of—

(i) Lp p

-

+ +

ìíî

üýþ

1

2

1

8 16;

(ii) L e tt( cos )2 . 3+3=6

6. (a) Find L F t{ ( )}, where

F tt

t t( )

,

,=

< £

>

ìíî

1 0 2

2 4

(b) Show that

Ls

s se x xx- -+

+ +

ìíî

üýþ

= -1

2

3 1

2 53 2 2( cos sin )

5

(c) Define Laplace transform of the

function F t( ).1

UNIT—IV

7. (a) Solve ¢ + =y y e t2 , given that

y y( ) ( )0 2 0= = ¢ . 5

(b) Solve

d x

dt

dx

dtx

2

22 2 0+ + =

when x( )0 0= , ¢ =x ( )0 1. 5

10-21/824 ( Continued )

( 7 )

8. (a) Solve the initial value problem

dy

dxy

dy

dxy1

22

1= - =;

subject to y1 0 1( ) = ; y2 0 0( ) = . 5

(b) Solve Dx Dy t+ = ; D x y e t2 - = - , x( )0 3= ,

¢ = -x ( )0 2, y( )0 0= . 5

UNIT—V

9. (a) Evaluate the Fourier transform of the

function

f xx x a

x a( )

,

,=

< <

>

ìíî

2 0

0 5

(b) Define Fourier integral of a function

f x( ). 2

(c) Show that

F xf xd

dsF ss c[ ( )] { ( )}= - and

F xf xd

dsF sc s[ ( )] { ( )}=

1½+1½=3

10-21/824 ( Turn Over )

( 8 )

10. (a) Evaluate Fourier transform of

f xx x a

x a( )

, | |

, | |=

£

>

ìíî 0 5

(b) Show that

cos l

ll

pxd e x

20 1 2+=

¥ -ò , x ³ 0

5

H H H

2020/TDC/ODD/SEM/

10-21—PDF/824 MTMH–503 (A/B)/262

2020/TDC/ODD/SEM/

PHSH–501/097


held in July, 2021

PHYSICS

( Honours )

( 5th Semester )

Course No. : PHSH–501

( Atomic and Molecular Physics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What is Rutherford’s atom model?

Discuss its limitations. 2+2=4

(b) Discuss briefly Rutherford’s experiment

on scattering of a-particles by gold foil. 3

10-21/780 ( Turn Over )

( 2 )

2. (a) What are excitation and ionization

potentials? 3

(b) Explain how the ionization potential can

be determined by Frank and Hertz

experiment. 4

UNIT—II

3. (a) State and explain Moseley’s law.

Discuss the importance of Moseley’s

observations of X-ray spectra of

different elements. 2+3=5

(b) What is doublet fine structure of

X-rays? Give one example. 2

4. (a) Distinguish between continuous and

characteristic X-ray spectra. 3

(b) How is the production of characteristic

X-ray spectra accounted for? 2

(c) What is Bohr’s correspondence

principle? 2

UNIT—III

5. Discuss vector atom model. What are

different quantum numbers associated with

different quantizations in this model? 4+3=7

10-21/780 ( Continued )

( 3 )

6. (a) Discuss any one of the following : 4

(i) Stern-Gerlach experiment

(ii) L-S and j-j couplings

(b) Explain Pauli’s exclusion principle. 3

UNIT—IV

7. What is Zeeman effect? Distinguish between

normal and anomalous Zeeman effects.

Discuss the experimental arrangement for

observing normal Zeeman effect. 2+2+3=7

8. (a) What is Compton scattering? Find the

expression of Compton shift. 1+4=5

(b) What is Paschen-Back effect? 2

UNIT—V

9. What are different types of motion possible in

a diatomic molecule? Deduce the expression

of energy levels in a diatomic molecule

considering both rotation and vibration of the

molecule. 1+6=7

10-21/780 ( Turn Over )

( 4 )

10. (a) What are continuous and diffuse

molecular spectra? Explain the

Born-Oppenheimer approximation. 2+3=5

(b) What are the rotational and vibrational

energy levels of a molecule? 2

H H H

2020/TDC/ODD/SEM/

10-21—PDF/780 PHSH–501/097

2020/TDC/ODD/SEM/

PHSH–502/098


held in July, 2021

PHYSICS

( Honours )

( 5th Semester )


( Condensed Matter Physics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What are Miller indices? How are they

determined? 1+2=3

(b) Distinguish between point groups and

space groups. Show that in a cubic

lattice the distance between the

successive planes of indices ( )hkl is

given by

da

h k lhkl =

+ +( )½2 2 21+3=4

10-21/781 ( Turn Over )

( 2 )

2. (a) Discuss the measurement of lattice

parameters using Bragg’s law. 4

(b) Explain the origin of Laue’s spot. 3

UNIT—II

3. Explain the term ‘binding energy’. How would

you calculate the binding energy for an ionic

crystal having NaCl structure? 2+5=7

4. Discuss in brief (a) van der Waals’ bonding

and (b) hydrogen bonding. 7

UNIT—III

5. Derive an expression for the frequency of

lattice vibration of a diatomic lattice chain.

What are the optical and acoustical

branches? 5+2=7

6. (a) Discuss Hall effect. Explain how the

measurement of Hall coefficient helps

one to determine the sign of charge

carrier. 3+2=5

(b) Discuss the failure of free-electron

theory with reference to Hall effect. 2

10-21/781 ( Continued )

( 3 )

UNIT—IV

7. State and prove Bloch theorem under

periodic potential. 2+5=7

8. (a) Prove that effective mass of an electron

is

md E

dK

* = h22

2 4

(b) Discuss the formation of donor level in

n-type semiconductor with the help of

energy-level diagram. 3

UNIT—V

9. (a) Discuss London’s theory of super-

conductors. What is London penetration

depth? 3+2=5

(b) Give a brief qualitative idea of BCS

theory. 2

10. Define liquid crystals. Discuss in brief the

classification of liquid crystal. What are the

uses of liquid crystal? 1+4+2=7

H H H

2020/TDC/ODD/SEM/

10-21—PDF/781 PHSH–502/098

2020/TDC/ODD/SEM/

PHSH–503/099


held in July, 2021

PHYSICS

( Honours )

( 5th Semester )


( Quantum Mechanics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Discuss photoelectric effect as evidence

of corpuscular theory of light. 5

(b) What is the work function of a metal

if the threshold wavelength for it is

580 nm? 2

10-21/782 ( Turn Over )

( 2 )

2. (a) Explain the result of Davisson-Germer

experiment and discuss its significance. 4

(b) Explain complementary principle. 3

UNIT—II

3. (a) State Heisenberg’s uncertainty

principle. 2

(b) By using the uncertainty principle,

show that an electron cannot exist

within the nucleus. 5

4. (a) Obtain the radius of Bohr orbit by using

the uncertainty principle. 4

(b) Use the uncertainty principle to

estimate the size of the hydrogen atom

from the following data : 3

e = × ´ -1 6 10 19 C

m = × ´ -9 0 10 31 kg

h = × ´ -1 05 10 34 J-s

UNIT—III

5. (a) What do you mean by Schrödinger

equation in time-dependent and time-

independent forms? Give the physical

interpretation of wave function. 3

10-21/782 ( Continued )

( 3 )

(b) Define Hermitian operators. Show that

the operators id

dx and

d

dx

2

2 are

Hermitian. 1+3=4

6. Define angular momentum operator. Show

that [ , ]L L i Lx y z= h . 1+6=7

UNIT—IV

7. A particle moving in an one-dimensional

potential, is given by

V = 0 for x < 0 and V V= 0 for x ³ 0

(a) Write down the Schrödinger equation

for the particle and solve it.

(b) Find the reflection and transmission

coefficients for the case 0 0< <E V ,

where E is the total energy of the

particle. 4+3=7

8. Write down the Schrödinger equation for a

free particle in one-dimensional infinite

potential well and calculate its eigenvalues

and normalized eigenfunctions. 7

10-21/782 ( Turn Over )

( 4 )

UNIT—V

9. Write the Schrödinger equation for hydrogen

atom in spherical polar coordinates and split

it into the radial, polar and azimuthal parts. 7

10. Solve the radial part of the Schrödinger

equation for the hydrogen atom to obtain the

energy eigenvalues and eigenfunctions. 7

H H H

2020/TDC/ODD/SEM/

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2020/TDC/ODD/SEM/STSH–501/043


held in July, 2021

STATISTICS

( Honours )

( 5th Semester )

Course No. : STSH–501

( Design of Experiments )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What is meant by analysis of variance?

What do you mean by fixed effect model

of analysis of variance technique? 2+2=4

(b) Starting from linear model, obtain the

least square estimates of the effects in a

one-way classified data. 3

10-21/825 ( Turn Over )

( 2 )

2. Discuss the analysis of a two-way classified

data with m ( )> 1 observations per cell. Also

find the expectation of error mean square.

5+2=7

UNIT—II

3. (a) Explain the principle of replication

along with its importance in design of

experiments. 2

(b) Describe the layout of a randomised

block design and give a brief outline of

analysis of this design. 5

4. (a) Write a note on size and shape of plots

and blocks in design of experiments. 3

(b) Discuss the advantages and dis-

advantages of completely randomised

design (CRD) along with its area of

application. 4

UNIT—III

5. (a) What is Graeco-Latin square design?

Give a short description of analysis of

this design along with ANOVA table.

2+2=4

(b) What is a Latin square design? In what

respect, it is different from RBD? 2+1=3

10-21/825 ( Continued )

( 3 )

6. (a) Explain the ‘missing plot technique’ of

design of experiments. 3½

(b) Describe the procedure of estimating

one missing observation in RBD. 3½

UNIT—IV

7. (a) What is a factorial experiment? Point

out the advantages of factorial

experiment over a simple experiment.

1½+2=3½

(b) Define the terms ‘main effect’ and

‘interaction effect’ in relation to a

23-factorial experiment. 3½

8. What do you mean by confounding in

factorial experiments? Distinguish between

complete confounding and partial

confounding. Give the plan and outline of

the analysis of a partially confounded

23-experiment in 4 replications. 1+2+4=7

UNIT—V

9. What is split-plot design? Explain the

procedure of analysis of split-plot design.

2+5=7

10-21/825 ( Turn Over )

( 4 )

10. (a) Describe the method of analysis of a

32-design. 4

(b) Write a note on analysis of covariance. 3

H H H

2020/TDC/ODD/SEM/

10-21—PDF/825 STSH–501/043



held in July, 2021

STATISTICS

( Honours )

( 5th Semester )


( Applied Statistics )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions

Answer five questions, taking one

from each Unit

UNIT—I

( Index Numbers )

1. (a) State the criteria for selecting the base

period of an index number. 2

10-21/826 ( Turn Over )

( 2 )

(b) Prove that Fisher’s price index number

lies between Laspeyre’s and Paasche’s

price index numbers. 3

(c) Explain different criteria that a good

index number must satisfy. 2

2. Define cost of living index number. Discuss

different methods of constructing cost of

living index number. 1+6=7

UNIT—II

( Time Series–I )

3. (a) Define time series. State the importance

of time series analysis. 1+2=3

(b) Describe the method of moving averages

to measure trend. Mention its merits

and demerits. 2+2=4

4. (a) Explain ratio to moving average method

of computing the indices of seasonal

variation. 3

(b) Write a note on the measurement of

cyclical variation. 4

10-21/826 ( Continued )

( 3 )

UNIT—III

( Statistical Quality Control )

5. (a) Define statistical quality control (SQC).

Mention the uses of SQC. 1+2=3

(b) Explain chance causes of variation and

assignable causes of variation. 2+2=4

6. (a) What are 3-s control limits? What is the

basis for selecting 3-s control limits?

1+2=3

(b) Explain the following : 2+2=4

(i) OC curve

(ii) ASN curve

UNIT—IV

( Demography–I )

7. (a) Define the following : 1+1+1=3

(i) Vital statistics

(ii) Vital rate

(iii) Vital ratio

(b) Define age specific death rate and

mention its merits and demerits. 4

10-21/826 ( Turn Over )

( 4 )

8. (a) Define the following : 2+2=4

(i) General Fertility Rate (GFR)

(ii) Net Reproduction Rate (NRR)

(b) Explain why female age specific fertility

rate is better than crude birthrate

(CBR). 3

UNIT—V

( Official Statistics )

9. Describe the methods of collection of

population statistics in India. 7

10. Write short notes on any two of the

following : 3+4=7

(a) NSSO

(b) National Statistical Commission (NSC)

(c) CSO

H H H

2020/TDC/ODD/SEM/

10-21—PDF/826 STSH–502/044



held in July, 2021

STATISTICS

( Honours )

( 5th Semester )


( Multivariate Analysis )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. For the distribution of random variables

X and Y given by

f x y kp

x pxy y( , ) exp( )

( )= × --

- +é

ëê

ù

ûú

1

212

2

2 2

obtain—

(a) the constant k;

(b) the marginal distributions of X and Y;

(c) the distribution of X for given Y and the

distribution of Y for given X. 2+3+2=7

10-21/827 ( Turn Over )

( 2 )

2. (a) Derive the bivariate normal distribution

from the p-variate normal distribution. 3½

(b) If X and Y are standard normal variates

with correlation coefficient r, then show

that

QX XY Y

=- +

-

2 2

2

2

1

r

r

is distributed as chi-squared variate

with 2 degrees of freedom. 3½

UNIT—II

3. (a) Write down the properties of multiple

correlation coefficient. 3

(b) Deduce a formula for partial correlation

coefficients for a multivariate

distribution in terms of total correlation

coefficients. 4

4. Derive the equation of the plane of regression

of X1 on X X Xn2 3, , ,K . State any two

properties of residuals. 5+2=7

UNIT—III

5. (a) Define the multivariate normal

distribution with mean vector m and

variance-covariance matrix S. 2

10-21/827 ( Continued )

( 3 )

(b) If X N p~ ( , )m S and C is an ( )m p´ matrix

of rank m, then prove that

C X N C C Cm~ ( , )m S ¢

where symbols have their usual

meanings. 5

6. (a) Suppose X X X X= ¢( , , )1 2 3 ~ ( , )N 3 m S

where

m =

é

ë

êêê

ù

û

úúú

2

1

2

, S =

é

ë

êêê

ù

û

úúú

2 1 1

1 3 0

1 0 1

Find the joint distribution of

Y X X X1 1 2 3= + + and Y X X2 1 2= - . 4

(b) If X N~ ( , )3 0 S , then prove that ¢ -X XS 1

follows chi-squared distribution with 3

d.f. 3

UNIT—IV

7. (a) Prove that product moment correlation

coefficient lies between -1 and +1. 4

(b) Let X be a p ´1 vector with E X( ) = m and

S=variance-covariance matrix. Prove

that E XX[ ]¢ = + ¢S mm . 3

8. Derive the distribution of l, the sample

correlation coefficient when the population

correlation coefficient is zero. 7

10-21/827 ( Turn Over )

( 4 )

UNIT—V

9. (a) Define Hotelling’s T 2-statistic and state

its applications. 3+2=5

(b) State Cochran’s theorem. 2

10. (a) Does Hotelling’s T 2 remain invariant in

its units of measurements? Justify. 3

(b) Given a random sample of size n from

N p ( , )m S , discuss how to test the

hypothesis m m= 0 , when S is known. 4

H H H

2020/TDC/ODD/SEM/

10-21—PDF/827 STSH–503/045

2020/TDC/ODD/SEM/ZOOH–501/309


held in July, 2021

ZOOLOGY

( Honours )

( 5th Semester )

Course No. : ZOOH–501

( Developmental Biology, Molecular Biology

and Immunology )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) Define Gastrula. 1

(b) Describe the gastrulation of Amphioxus

with suitable illustration. 4+2=6

2. (a) Define extraembryonic membrane. 1

(b) Describe different extraembryonic

membranes present in mammal with

suitable illustrations. 4+2=6

10-21/843 ( Turn Over )

( 2 )

UNIT—II

3. (a) Write a brief note on the central dogma

of molecular biology. 2

(b) Describe the Watson and Crick’s

double-helical structure of DNA with

suitable illustrations. 3+2=5

4. (a) Define DNA replication. 1

(b) Describe the process of prokaryotic DNA

replication with suitable illustration. 4+2=6

UNIT—III

5. (a) What is blotting technique? 1

(b) Describe the process of Southern

Blotting with suitable illustrations. 4+2=6

6. (a) What is translation? 1

(b) Describe different steps of translation

with suitable illustration. 4+2=6

UNIT—IV

7. (a) Define adaptive immunity. 1

(b) Describe different types of cells of

immune system with suitable

illustrations. 4+2=6

10-21/843 ( Continued )

( 3 )

8. (a) What is immunoglobulin? 1

(b) Describe the structure of immu-

noglobulin G (IgG) with suitable

illustration. 4+2=6

UNIT—V

9. (a) Define immune response. 1

(b) Describe humoral immunity with

suitable illustration. 4+2=6

10. (a) What is AIDS? 1

(b) Describe the possible pathways of

transmission of AIDS. Add a note on the

preventive measures of AIDS. 4+2=6

H H H

2020/TDC/ODD/SEM/

10-21—PDF/843 ZOOH–501/309



held in July, 2021

ZOOLOGY

( Honours )

( 5th Semester )


( Human and Population Genetics, Radiation

Biology and Animal Behaviour )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What is karyotype? 1

(b) What is autosomal aberration? 2

(c) Explain different types of autosomal

aberrations in man. 4

10-21/844 ( Turn Over )

( 2 )

2. (a) What is Turner syndrome? 1

(b) What is amniocentesis? 2

(c) What is DNA fingerprinting? What is its

utility? 2+2=4

UNIT—II

3. (a) What do you mean by population

genetics? 1

(b) What is Hardy-Weinberg equilibrium? 2

(c) Discuss genetical basis of ABO system

of blood group in humans. 4

4. (a) What is euphenics? 1

(b) What is the difference between eugenics

and euthenics? 2

(c) Discuss briefly about negative and

positive eugenics. 4

UNIT—III

5. (a) Define radiation. 1

(b) Mention various units of measurement

of radiation. 2

(c) Write about different types of radiation. 4

10-21/844 ( Continued )

( 3 )

6. (a) What is radioactivity? 1

(b) What are the sources of radioactive

radiation? 2

(c) Explain the effect of radioactive

radiation in humans and other

organisms. 4

UNIT—IV

7. (a) What is ionizing radiation? 1

(b) What is the difference between ionizing

radiation and non-ionizing radiation? 2

(c) Discuss the biological effects of ionizing

radiation. 4

8. (a) What are radioactive isotopes? 1

(b) What is half-life? 2

(c) Discuss the usefulness of radioisotopes

as tracers and in medical diagnosis.

2+2=4

UNIT—V

9. (a) What are taxes? 1

(b) What is reflex behaviour? 2

(c) What is reflex action? State the

characteristics of reflex behaviour. 2+2=4

10-21/844 ( Turn Over )

( 4 )

10. (a) What is the difference between

instinctive behaviour and learning

behaviour? 2

(b) What do you mean by positive tropism

and negative tropism? 1

(c) Explain different types of learning

behaviour in animals. 4

H H H

2020/TDC/ODD/SEM/

10-21—PDF/844 ZOOH–502/310



held in July, 2021

ZOOLOGY

( Honours )

( 5th Semester )


( Animal Behaviour, Biotechnology and

Economic Zoology )

Full Marks : 35

Pass Marks : 12

Time : 2 hours


for the questions


UNIT—I

1. (a) What is meant by social behaviour?

Give an account of social behaviour in

any one group of non-human primate.

1+4=5

(b) Write a brief note on motivated

behaviour. 2

10-21/845 ( Turn Over )

( 2 )

2. (a) Discuss briefly the associated learning

or reflex conditioning and Pavlov’s views

on this type of behavioural pattern. 4

(b) Write a note on biorhythms. 3

UNIT—II

3. (a) What is genetic engineering? Mention

the basic steps in genetic engineering.

2+2=4

(b) What are the positive and negative

effects of genetic engineering? 3

4. (a) What is complementary DNA (cDNA)?

Write a note on restriction endonuclease

enzyme and its types. 1+4=5

(b) What are plasmids? Elucidate. 2

UNIT—III

5. (a) What is blotting technique? What are its

types? 1+1=2

(b) Who developed the technique of particle

bombardment gun for gene transfer?

Discuss the technique briefly. 1+4=5

10-21/845 ( Continued )

( 3 )

6. (a) What is gene therapy? What are the

vectors being used in gene therapy? 1+2=3

(b) Write notes an any two of the following

genetic diseases : 2×2=4

(i) Thalassaemia

(ii) Alzheimer disease

(iii) Sickle cell anaemia

UNIT—IV

7. (a) Write scientific name of the lac insect.

Name two host plants of lac insect. 1+1=2

(b) Discuss the life history of lac insect.

Write the composition of lac. 4+1=5

8. (a) Write the scientific name of Eri

silkworm and name their host plants.

1+1=2

(b) Write a note on diseases of silkworms. 3

(c) Write briefly on economic importance of

honey. 2

UNIT—V

9. (a) What is meant by weed fishes? Name

two weed fish species. 1+1=2

10-21/845 ( Turn Over )

( 4 )

(b) Why is fertilization necessary in a fish

culture pond? Name a few commonly

used fertilizers for fish culture pond.

2+1=3

(c) What is algal bloom and how can it be

controlled? 2

10. (a) Name any four breeds of chicken

selected for poultry farming. 2

(b) Discuss the requirements for laying out

a poultry farm and the criteria need to

be maintained for the construction of

fowl house. 4

(c) What is Ranikhet disease of chickens? 1

H H H

2020/TDC/ODD/SEM/

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Documents

2020/TDC/ODD/SEM/ ( 2 ) BCAC–501/183