BET June 2005

8/3/2019 BET June 2005

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Diploma in Civil Engineedng / Diptomain Electrical & Mechanical Englneering

Term-End Examination a

June.2OOS

BET-O11 MATHEMATICS-I

Time : 2 hours MoximumMalks : 70

No,e t Attempt Q. No. I uhich is compulsory ond ony

other lout questions. In all, soloe fioe questions.

Al l questionscofty equal morks. UseoJ colculators

is pemitted.

l. {a) Simplib and express the result with positive

components

( 3 x z 1 o x - - f - x a x - a{3x')-'

Find whetheror not th€ lirst polynomials a lactor of

the second.

n 2 E ^ 2 4 - - 2 1 .

Solve

{b)

(c)

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(d) In a circlewith centre O and radius5 cm, AB is a

chordof length6 cm. lf OM -t AB, find the lengthof

oM.

(el

(f)

b)(h)

0

(k)

Find the principal value of

""'(-+)

If circumferencef a circle s 44 cm., ind ts area.

Compute he el€ventherm of the sanes

4 + 8 . 5 + 1 3 + . . .

Finda

unit vectorperpendicllar o the vectors ,f.

Evaluate

sin230' + cos230'

Find the radian measure oresponding o 15".

Find th€ equationof a straight n€ passinghrough

(4, 3) and slope2.

Determine he equationof a circle f ils centre s

(8, - 6) andradiuss 5 units.

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(n) Mention fout computerprogramminganguag€.14x1=14

2. (a) The first term ol an AP is 4, and the tenth term is

31. Determinehe sumol the first 10 terms.

(b) Express he lollowing without logariihms

logx = logP + 2 logQ-log K - 3

What is meaning of the lollowing box ln a flow

chaft ?

Simplifu

f l - 6

l !*'v"

ll a2 + bz - 7 ab, prove hai

2 log (a + b) = log 9 + log a + log b

Find th€ middle €rm in ihe expression f

/ - 3 fI b /

3. (a)

(b)

5+5+4

ff

3 + 5 + 7 + . . . . . . n t € r m s

5 + 8 + 1 1 + . . . . . . 8 t e r m s

then complte the l"llue oI n,

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4. (a)

tc)

(b)

(c,

5. (u)

6. ia)

Prove hat

snx) L

(b) Show that

sin 105' + cos105' = cos45 '

Find he angleof elevation t thesunat a time when

a wrtical pole 12 mehes hrgh castsa shadow20

metresongon theground. 5+5+4

Findthe equations l lineswhichpasshrougha point(4, 5) andmakean angleof 45" with the ine

2 x + y + 1 = 0 .

Find the equationof a line thai has x-interc€pt 3and is perpendicularo th€ line 3x + 5y = 4

Find the equationof a line passinghrough he point

{1, 3) and maktng n angleof 60'with the positi\re

direction ol x-axis. 5+5+4

Find the co-ordinates of the ceDtreand radius of the

* 2 * f - e " + 1 0 y - 0

Find the €ccentricity, foci, and centre for the ellipse

2 f + s 9 2 = 1

(b)

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In the adjoining igure,AB andCD areh{o chordsola circle, nters€cting achotherat p

If z BAC = 40", ard t BpD = 110.,find Z PBD.

7. (al r r * l - z i + 3 f a n d b = z t * s is t ,then find a x b. Veriiy that a nnd a x b areperpendjcular lo each otber,

Find the value of ), so that the vectors

z i - a i + 2 t a n d l - r . i * s tare perpendicllar to each other

Showthdt the vectors

u = 3 t * 4 i a n a = e l . _ r z fare parallel.

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Diploma in Civil Engineering,/Diploma inElectrical & Mechanical Engineering

Term-End Examinatiorl'

June, 2OO5

BET-012 PHYSIGS

Time 2 hours MaximumMorks 70

(i) Answer ang five questions. Quesfion no. 1 's

compursory,

Al l qlestions cofty equol marks..

Giue SI units of physicol quantities in numerical

You can use o colculotot.

l. Ans.r./er ny seuen parts : 2x7

(a) Define ntensityof soundwaves,and write its units.

(b) Draw shess- strain curve for a steel wire.

(c) The resistance f an electricheater s 25 Q and its

ends are connected o the poles of.a 90 V dry

battery. Calculate the current flow in the heater

(ii)

(iii)

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ld) Why paramagnetic and diamagnetic substances

cannotbe used o make permanentmagnets?

Convert 120" on Celsius cale nto Fahrenheitscale.

Define Diopter.

Draw ray diagram for image formed when the obj€ct

is kept between F and C in froi,t of a concave

Give t',{/oapplications of Pascal's Law.

Name the lactors allecting velocig ol sound wave in

a gaseousmedium, Discusshem. 6

An ai! column with a tuning fork of frequency

v = 256 Hz resonates with column lengths of

334 cm and 101.8 cm. Calculate he speed of

sound n air. 4

Dellne surlace iension and give iLs SI unit How

does the ,"alue of surface tension depend on

(f)

igl

(h)

2. (a)

(b)

tcl

2, 1, 1

1 ,1 , 2

temperature?

3. (a) Whai is a paramagnetic substance? Give one

example. State txo properiies of paramagn€tic

(b)

substances.

Define one calorie of h€at. How is it related with

Joule? 2,2

Calculaie mean kinetic energy for one gram mole oI

hydrogen ai S.T.P. Given density of hydrog€n at

S.T.P. is 0 09 kg m-3. 6

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4. la)

(b)

(b)

(d)

6. (a)

{b)

State Kirchhoff's law of black body radiation. 2

A \teel wire of lenglh 4 ? h and cross-seclion

3 0x10_5 m2 stretchesby the same amount as acopper wire of iength 3 5 m and cross-section

4'0X10 5 mz under a given load. What is the rdtio

of the Young's modulusoI ste€l o that of copper ? 6

Define ihe term magnification in lenses. Calculate

the focal length ol a convex lens that can be used to

throw 29 times magnified mage.ol an object on ascreen20 cm away. 2,4

Explain construction and working of a compound

microscop€,with a neat labelleddiagram. 1,5

A wire 2 crn long and 0.40 mm in diameter has a

resisianceof 4 O. Caiculate he resistivityof the

materialoI th€ wire. 4

A charge q is moving with a velocig 1, in a region

wbere both the magneiic field.B and electric ield

E are simuitaneouslypresent. Whai is the Lor€ntz

lorce acting on the charge ? 2

What is the principleof

a galvanometer? 2

Whai are secondary cells ? Explain their worldng

principle. 2,2

Calculai€ the operating magnetic lield required ior

accelehting protons if the ndius of the cyclotron

dees is 50 cm and its oscillator lrcquency js 16 MHz.

cj,,eDe - 7.6 x 10-19 C; - = 1.67 x lO-27 kg. 4

(c)

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(c) State FaEday's laws ol electrolysis. Eiplain the

importance of Faraday constant in el€ctroiysjs. 3, 1

(d) Why are the passengersadvised to remove ihe ink{rom their pens \rhile going up in an aeroplane ? 2

7. Write short note$on any ,&o of ihe following 7x2

(a) Determinaijonof MechanicalEqulvalent f heat

{b) Daniel Cell

lc) Archimedes'principle

{d) Tele.cope

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trEroGl

Diploma in Clvil Engineering / Diplomain Electrical & Mechanical Engineering

Term-End Examination

June, 20O5

BET-013 CHEMISTRY

Time 2 hours Maximum Morks 70

(i) Question No. I is compulsor!,.

. (ii) Ansuer ony fo"

questions rom QuesiionsNo.

2 t o 7 .

(iii) Al l questionscarrg equol marks.

(iu) Use ol calculator is allowed.

r, (a)

(b)

(c)

(d)

{e)

(0

(s)

Define onizationenergy.How does t vary across he

periods in the periodic table ?

Ljst any four charact€risticsf non-metals.

What is red mud ? Explain briefly

lce floats on liquid water. Give reasons.

Ditferentiate bet'r./eena Calorie and a British Thermal

Unit.

Wtit€ the us€sof molybd€num isulphide.

Define glass transition t€mperatute- How is it

important? 2x7

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2. (a)

(b)

3.(a)

(b)

4. b)

BE'T 13

(b)

What is modem periodlc aw ? Descdbe ariousparis

of the modem perjodic able.

Giv€ the eleckonic configurationsof the following

Ms '12),Fe 26),As 33), Sn 50)

List five generalpropertiesof d block elem€nts. 5, 4, 5

Discuss ny two meihodsol pr"parationof hydrogengas and list its five uses.

'Completethe followingreactions

(i l NH4NO3 (.) '-

(i0 3 NO2 ki + H2O (i) '-------+

How is nitric acid producedby Oshrald proc€ss?List t o usesoI nitric acid. 5, 2, 7

Write any iwo or€s ol iron. How is iron extracted

using a blast fumace ? Illustrate your answer with the

help o{ the chemieal reactions involved and a labelled

diagram.

Give compositionand usesof lollowingalloys

Brass,Gold(18 carat) 1o,4

What is meant by demineralisation of '&arer ?

Describe he proc€ssof demin€ralisation sing ion

ex€hange esins.

2

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(b) What is boiler corrosion ? Suggest is preventive

Explain ReverseOsmosisprocesso{ desalination f

braikish wat€r. 6,4, 4

Illustrai€Otto Hoffmann's by-productoven process

to nanulacture metal)ugi.al coke.

DiscussFischer Tropsch processto produce synthetic

De{ine cloud and pour pojnis of lubricants. How are

rhese deternined ? Stap 'herr (ignifi(dnce in

lubricaiion.

6. (a)

(b)

z. (a)

{b)

\CJ

(d)

5 , 3 , 6

What do you mru n by polgmers ? Write the

mechanismof free radicalpolgmerisation.What is w canizationof rubbers?

Give composition.propertiesand usesof pyrex glass

and opticalglass.

What is clay ? Explain the term plasticity and

describe methods to obtain '€quired plasticig.

4 , 2 , 4 , 4

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Diploma in Civil Engineerlng / Diplomain Electrical & Mechantcat Engineering


JuDe,2OO5

BET-O14 APPLIED ECHANICS

Tirhe | 2 hows Moximum Morks 70

Note I Atterhpt Q. M. I rahich

othet lour questions. In

Al l questionscarty equol

is permitted.

is cofipvttotg and ony

oll, sahre toe qvestions.

motks.UseoJcqlculator

l. (a) Select tbe righl answer

alternatives.

(i) A particle of mass m

kineticene4g ruill be

{a) n1p

from the given four

10x1=1O

has momentump, !t's

2p2

p2

m

pz2fi

(b)

(c)

(d)

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{ii) A particle moves in a circular path of radius r.

In half the period ol revolution, its displacement

and distance co\reted are

lal 2\ 2nr

lcl 2\ ft

ld) r, ft

The re$ltani o( t'.ro JorcesP and Q aciing ar

an angb e is equd to

r-;_----;-

{a) {P' + Qf + 2PQsinet-;--_-;_-(b) iP' + Qt + 2PQcose

t ; - - ; -(c) {P" + Q' - 2PQsin0

f ;- -;-

(d) \ jP' + Qz - 2PQcose

The efliciency of a tifting machine s the rafio

of

{a) its output o input

(bl workdoneby it to the viork done on lt

ic) its mechanical dr,antageo ltsr,€locity atio

(dl AUof the above

{u)f,,

ll'

(iij)

{ie)

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{v) A lifting machine ha\,ing an efficiency less thah

50% is known as

(a) reversiblemachine

(b) id€al machine

(c) noh-.e!€rsible0achine

(d) None of the above

Th€ velocity raiio of a simple wteel and .!dewith D and d as the diameters of effort wheel

and load axle is

( a ) D + d

{b ) D - d

(c) Dd

(d) D/d

The iime of tlight of a proiectiie on a horizo al

plaoe is

,^, 2u sin cr

2u coso

(vi)

(vii)

(b)

{c)

(d)

g

us i nd

s

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The maximumdisplacement f a body moving

with simple harmonic motion from its mean

position s called

{a) oscillation

{b) amplitude

(c) beat


The dope on the rcad surfaee generalbprovidedon the curves s knownas

(a) angleof frictton

{b) angleof repose

{c) angleof banking

(d) None ol the abor€

The kinericenergyo[ a body of mass I kg is

12.5 kg m2 s_2. ts momentum n llnits of kg

(a) 25

(b) 5

(c) old) 1.2.s

(b) Fi in the blank:

{uit

(ix)

(xl

4x1-4

{i) If the resultantof two forces P'and 'Q' acting

at an angle0 makesan angleof cr with P, then

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(ii) The coefficient of static fricton is aways

than coefficient of d!'namic friction.

{i')

Th€ centroid of an equilateraltriangle of sid€ 'h'

is located from any of its three sides at a

distance h,

A ball dropped lrom the top of a tower reaches

the ground in 6 seconds. The height of the

to\lrer $

2. An electric ight fixtureweighting15 N hangs rom a pointC by h^,ostringsAC and BC. The string AC is inclinedat60'to the horizontal and BC at 45" to the vertical sshown n figur€ 1. Determin€ he {orcesn the stringsACand BC.

(ii')

14

Figurc 1

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3. A trussshown n figure 2, is subjectedo t\xo point loads

at B and F Find the fo:ces n all the members f the ttuss

and tabulatehe results 14F- 3 m----+F- 3 m-----i

1.5 N >P

Im

I4. (a)

BET-O14

(b)

Definecoefficient f static rictionandangleof friction.

Show hat p=

tan 0 wh€r€ he lettershar,€hef usualmeanings.

Two block A and B of weights 1 kN and 2 kNrespectiveD re in equilibriumpositionas shown infigure3.

4 k NFigure 2

Fisurc3

II the coeffici€ntof friction behreen he hvo block as

well as the block B and the floor is 0 3, find ihe

minimum{orce(P)requirei to move the blockB.

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(a) Show that there are h,\'o angles ol projection for a

projectile to have the samehorizontal range. What will

be the maximuh heights attained in the tJ/o cases ?Compare ihe t'.,,/ohejghis for 0 = 30" gnd 60".

(b) A projectile is lired honzontallg with a velociiy of

98 ms-r from a hill 490 m high.

Compute

(i) time taken to reach the ground

(ii) th€ distanceof ihe target from th€ hill, and(iii) the velocity with which the dy strikes theground.

Find the moment of ineriia of a T s€ction .as shown in

tigure 4 about X-X and Y-Y axes hrough the C.G. of

the section.

6.

14

F_ 150 mm___l

T50 mm

l_

,50mm.F- -n

Figure 4

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7. (a)

a, (a)

{b)

State Newlon's second law of motion and prove that

impulse is equal io the chang€ in momentum

produced.

Two masses 7 W d 12 kg are connected at the

t1r,o ends of a light inextensible string that passes

over a frictionl€ss pulley. Find the accelerationof the

massesand the tension in the string when the masses

are rcleased.

A block of mass 0 8 kg is dragged along a level

surlac€ at constant acceleration by hanging a block

of mass 0.2 kg as shown in figure 5. Calculate th€

tension in the siring and the acceleration of thesystem.

0 2 k g

Figure 5

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Two blocksof massesMt = 2 kg andMz = 5 kg arc

moling in the same direction along a frictionless

surface with speeds 10 mt1 and 3 mi1respecth,ely,MZ beingabeadof Ml. An ideal spnng

with K = 1120 N m-r is attachedo the back sideof

block Mz as shoum n figure6. Find the maximum

compressjorof the spring ^then he block collide.

-----'10 mtl ---- 3 ms-i

Rgure6

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Diploma in Civll Engineering/

Diplomain Electrical & Mechanical Engineering


June,)oos

BET-015 ENGINEERINGATERIALS


Note t Attempt dlt questions.Al l questions carry equal

1. (a) Fiil n the blank ; 7x1=7

(i) Dull paichesdevelopedon a paini sudace is- deiectol paint.

(ii) White lead and zinc oxide are - in a

parnt,

is the defect formed due toi i i )

(')

improper sawing of timber.

(iv) Outemost ring beiween the bark and sapwood

whjch is rlot yet converled jnto wood is known

is obtained by bumlng limestone

containing lot of clay and other substance.

Shale is a -_ type of material.

rocks are formed bv alteration oI

original structure under heat and pressure.

(vi)

(vit

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(b) State hue/faLse {or the follc*/,Jing tatements : 7x1=7

(i) The second class bricks have a minimum

crushing strength of 45 kghm2.(i4 A good timber should have regular annual rings.

(iii) Blue siain is a def€ct of timber due to Fungi.

(iv) A good sand should not have coarse and

angular gYainso{ pure silica.

(v) Sandstone is a sedimeniary rock.

(vi) Dolomite is a soft rock.

(vii) A good brick should have a crushing str€ngih of

less han 105 kg,/cmz.

2. Answer any trr,o o{ the followins :

'7x2=14

(a) List the method of quarrying of stones and explain

any tlro of ihem.

(b) Discuss the qualirv o{ good bricks.

(c) Explain he manulacturing f tiles.

3. Answer aoy trro of the {otlowing t 7x2=14

(a) What are the essentialqualitiesof good buildingsion€s?

(b) Dscuss the selectlon ol materials for cement

qoncrete.

(c) Explain the signilicanceof compactjonof concrete.

How v,,illyou achleve this at a constyuctlon site ?

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4. Answer any lu,o ol the following :

5. Write short noteson :

(a) Rapid HardeningCement

(b) Blast Furnaica lag Cement

{c) Air-entrainingcemeni

(d Lo;heat cement

la) What ts decayol timber ? Explain various causes f

lt.

(b) Explain he chamcteristics f good timber.

(c) Discuss he propertiesof disiempers.

7x2=14

3 1 x a = 1 42

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Diploma in Civil Engineering / Diplomain Electrical & Mechanical Engineering


June,2OO5

BET-016 ENGINEERINGRAWING

Time 2 hours MoximumMarks 70

Note : Port A is to be attempted on ansuer scrlptsond

Pott B on drawing she€is. Use oJ calculator is

allowed.

PART A

Attempt ony elgh, questions. All the questions coftyequol morks. (5 morks each)

What are aligned s!6tem and unidirectional system ofdimensioning ?

What is the dillerence between a plain-scale and a

diagonal-scale? lndicate the formula for the length of scale.

lnscritte a circle in a given Equilateral-Triangle.

l .

2.

3 .

4. DefineEllipse,Parabolaand Hlperbola by any method.

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6.

Give the name of ihat curve which is traced out by a

moving point on the circumference of a circle without

slipping along a straight line and where it is used.Define Projection and state the position of any object with

respect to reference-planes {H.P and VP) in 3d Angle

Projection.

Projections of hro Points 'A'and

'B'are gi\€n in the figure.

State the position of each point with respect to the planes

of projection, giving the disiances n mm.

8. What do you undeEtandby Tracesof a lioe ? Explain n

brief.

9, Define 'plane'and makea list of differenttypgs of planes

with simplesketches.

lO. What are ihe differentpositlonswhlch a solidcan take withrespect o the Reference-planesH.P and V.P) ?

11. How canwe developany calindrical hape? Explain n brief

with sketches.

12.Ditfercntiate between 'lsometric-view' and'lsometric-projection'.

Indicate the ratio beftreen Isometric

Iength and Actual length also.

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PARTB

Attemptong two

questions./l quesfions oftIes quolmorks. 15 markseach)

13. Construct a parabola by Rectanglemethod when the

abscissa {Axis) - 60 mm and the double-ordinate(Base) 100 mm.

14. A line PQ'60 mm longhas tsend P' in both H.P arld

VP It is inclined t 45'to H.P and 30'to VP Draw heprojectionsof line and determine ts Tracesalso.

15. A PentagonalhJramid, edgeof base30 mm and height

70 mm has its ole €dge ol the base on the horizontalplane(H.P). Drawihe projectionsof the RJramidwhen itsaxismakes n angleof 60'to thehorizontallane H.P.).

16. Two viewsof a conearegiven n figure.Draw ts lsometric

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Time 2 hours

Diploma in Civil Engineering / Diplomaln Electrical & Mechanical Engineering


June, 2OO5

BET-017 COMPUTER ASTCS

Moximun Mdrks 70

Note :

(il Question no. 1 is compursory.

lii) Attempt any fout'questions out oJ the remaining

questions numbered2 to 7.

1, Fill in the blanks lom the choicesbelow: 14

. (t) First dialog box that appears after opening of

MS Word is .-- -- .

(ii) You can use styles to .- yow documents

in Microsoft Word.

(iii) You use the - -- toolbox to apptg common

characterand paragraph ormar' ro splecled ext

(iv) The unit o{ slze measurement of fonts is called

(v) Fors€lecting a

particularprintef you have to cJick

defalit printer.

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(vi)

clipboard into the documeni.

{vii) Marking a block of texi is done b9 dragging it with

(viii) A passage of text is del€ied by seiecting t and

pressing keY.

(ix) The short-cut key to open an existing file is

ls us€d to insert the contenis o{

_displays he contents of and name oi{x)

the activeceli.

(xi) In the Page Sefup oI MS Excel, . -- has

the option to select he area to b€ printed(i.e-range

ol cellsor rows or colurrns),

(xii) In MS Excel _-- ate included in iheworl,sh€ets and can be moved, copied and /eslzed as

any other graphicalobject lt can be viewedalong

with the data and many charis can be inselled

(xlil) - is tbe name given to the main computer

equipmentand its periph€raldevices.

(xlv) Insiructions to compuiei ate given through

.n"o;l-(a)Alt, (b)poini, (c)Ctrl+O, d) format, e)mouse,0 del'

(g) tip cf ihe clay, (h) Embedded harts, (l) prosram'

0 fotmula bar, (k) hardware, (l) Set 3s, (m) She€{ ab'

{n)cursor,10)paste,(p) ormat

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2, Attempi an9 tDo oI ihe following 2x7=14

(i)Whai is a computer ? Describe the

general

architecture f a computer.

(it) What are MailMergeand data source ? What

iheir advantages

(iiii What are ihe steps r'nvolved n copying a worksh€et

to a new worksheei ?

3. Attempi any tlrJo of the fojlowing : 2x7=14

(i) How will you create a custom list in MS Excel ?

{ji} Lisf and explain the contents ol fo[nattjDg tooJ bar.

Make necessary ssumptions.

(iii) Where can one lind pictures to be insert€d in a

document?

4. Attempt any one of the following 14

(i) Cr€at€ a slide show that shows the dajly time

schedule f an afmy personnel6n a week day, (max

of 5 slides),with the name, tiile slides,morning and

evening duties, name of regiment etc. Write content

oI each slid€on the answer sh€et.Mak€ necessary

assumplons.

(ii) Explain, n detail, he Windowsaccessori€s. ow do

you prini in Windows ?

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5. Att€mpt any tuo of the lollowing j

(i) Explain differeni lpes of charts n Excel.

1i1) What is a footnot€?

(iii) What is the role of "F1" key jn Windows ?

6. Attempt any l(ro of the folLowtng

2x7=14

2x7=14

(i ) What doesJormaftingof a floppy diskmean ?

(ii) What are the lunctions in MS Excel ? cjve h/,/oexamples-

(iii) DiflerentiatebetweenFIND and REPTACE unctions.

7. Attempt any one of the followins, 14

(i ) Ust the steps followed or finding a document n a

computerby searching.

(iij Is it possible to convert

Microsoft Word ? Justify

exampl€.

text into table using

youl answer wrtD an

BET.O17 1,000

8/3/2019 BET June 2005


Diploma in Civil Engineering / Dlplomain Electdcal & Mechanical Engineering


June,2OO5

BET-021Time 2 hours

: MATHEMATICS.II

MaximumMorks 70

Nole : Question r'o. 1is coitpulsory. Attempt any ourqu€stiohs out' oJ the rcmdining questionsnumbered2 to 7. UseoJ colculotor is permittecl.

1. (a) Select the correct answer from ihe four given

altemativesor eachpari givenbetow :

_ , t , ,{,) rr y = ro9 IlaD y). lhprr

-.'i, eq]|/'l t"

dr

lal 2 sec2x

(b) 2 cosec2x

(c) 2 secsx

(d) 2 cosecrx

BET.O21 P.T.O.

8/3/2019 BET June 2005


' [+']

The point on tha curve y2 = x, the tangent at

,J.,bichmahes ar, angle o{ 45', wiih x-axis will

be given by. 1 1 1 \,u, lr.aJ. f 1 1 \tb)

\.t t)

(c) (2,4)

The right circular cylinder o{ given guriace

{including the ends) shail have maximum volume

jf the ratio of lts height to its diametet is

la) 2

lf i(x) = xz + 3x + 4, tlren i(A) -( a ) A 2 + 3 A + 4 1

( b ) A 2 + 3 A + 4

(c) A2 + 34

(d ) (A+41(A+ l )

whereA is a squar€matrix

,o) ;( c ) 15

(d) 1

BET-021

8/3/2019 BET June 2005


The mode of the following sequenceof numbers

25, r5, 23,40, 27, 25, 23, 25,2D

isla) 25

(b) 20

lc) 23


l 4 3 l(vi) Inverseof I I is

L-7 1J

f r 1l, . | 4 3 lIal I I

I r . 1l * - I IL 7 l

' f a 3 l( b i - l I

" l-7 1_l

, [ 1o ]

( c ) ; 1 |zJL0 rl

' ' f1 -3ll d r * l I

" 1 7 4 l

P,T .O .ET.O21

8/3/2019 BET June 2005


lvlr, - rs equal Io

l a l - - - r' . 5 5

( b ) : + : i

. , 3 4 .t c l ; + ; t

(d) None of ih€ above

{b) Siaie wh€ther he following tatemenisre true or

false and justi{! your an$rer.

( j l - 1 e ( - - , 2 )

. 3 - c llit) li'r' -: --= = 27

r + 3 x + J

lr iD r)y = t4x - 5f, rh,n v = 4{4x 5)3dx

Fill in the blank.

l " - 2 x(i) rf I

l ' - s 4 a

x = _ y =

( i t Le t A=14 5

A B =

+ v l f 0 3 ll = l l i h e n

-81 L4 12)

_ z = -

lrlI I

61 , nd =ls l ,

then

t'lA + B T =

BET-021

8/3/2019 BET June 2005


(ii0

(iv)

I sin 2xl - o * =

2. la)

3. la)

(b)

4. (a)

(b)

/+ /

= 4ax and

14x1=14

Elaluate

Im- ---

It 2x' + y" - 6y - 9x - 0. determine he equarion

ol the normal to ihe curveat the poini (1, 7). 7+7

Average ;alue may be termed

Show that the tunction

l * 'when +1

f(x)= jl 2 w h e n = 1

ls dlscontinuous t x = 1.

f 1Lvatuate - dx.

J e x + 1

ni2

Evaluate IJ0

Rnd the area bet$een the paratolas yz

,2 = 4ay.

BET-021 P.T,O.

8/3/2019 BET June 2005


5. (a) Solve or o such hat the expression=ffi

is

rmagrnary.

(b) lf {2+3i(3-4 = x + iy,evaluat€andy. 7+7

6. (a)1 1 2 5 1

I I A - I l a n dL-1 3 -41

7. (a)

l t

- t 1lt l

B=10 -1 4 l f indwhetherhemat r ix

Lu , -1]

expression for €ach of [t A + B, {ji) AB and liii) BA

is possible/valid. State with reasons when a matrix

expression is not \Elid,/possible.

Determine the inverse of the matrix

f r , -,1i l

A - l - 1 3 0 l

f o -2 ,l ,*,

Show that th€ variance of the first n positive iniegets

i , , ! r n z - t r12

8Er-021

8/3/2019 BET June 2005


The following iable shows the mirrks obtained by

100 candidaies n an examination.Calculate the

mean and standard eviation. 7+7

Marks No. ol Candidates

1 - 1 0 3

1 1 - 2 0

2 1 - 3 0 26

3 1 - 4 0

4 1 5 0

51 60 I

BET-021 1,000

8/3/2019 BET June 2005


8/3/2019 BET June 2005


Diploma in Civil Engineering / Diptornain Electrlcal & Mechanical Engineering

Teml-End Examination

June, 2O05

BET-02? STRENGTHOF MATERTALS


Noae : Question no. 1 is computsory. Attempt on9 towquestions Jrcm the rcmaining. Assume suitabledata whereuer necessoryand mention it clea y.

Use ol colculotor is ottowed.

l- . Choosehecorect answersrom ie givenalt€matives.

14x1=14(i) The relation behre€n young,s ModuL,s E, Bulk

modulusK, and Poisson'satjo p is givenby

( a ) E = 2 K ( 1 - 2 p )

(b) E = 3K(1 + &)

( c ) E = 3 K { 1 - 2 p )

t d ) E = 2 K l t + p )

8ET-o22 P.T.O,

8/3/2019 BET June 2005


(it The elastic modulus of steel is 18 iimes the €lastic

modulus of concrete. The modulat ratio will be

(a) e

(b) 18

(c) 36

(d) None of the abov€

If the Young's modulus of elasticity of a material isn ic€ its modulus ot ngidiiy, the Poisson's raiio oI the

material s

( a ) - 1

( b ) - 0 5

( c ) 05(d) zero

If a prismatic member with area of cross section A

is subj€cted o tensile load P, then the maximum shear

str€ssand its inclination with the direction of the load,

(a) P/A and 45"

(b) P,u2Aand 45'

lc) P/2A and 60'

(d) P/A and 30"

(iii)

(iv)

BEr-022

8/3/2019 BET June 2005


Compatibilitycondition in a compositebai ensures

(a) strains in the componentsof

thebar

areequal

(b) stresses n the compon€nts of the bar are equal

(c) strainsand stressesn th€ compon€ntsof the

bar are equal


Maximum bendingmoment n a beam occurswhere

(a) deflections zero

(b) shear force is maximunl

(c) shear force is minimum

(d) shear force changessign

The variaiionof bendingmoment n the portion of a

beamcarrying inearlyvarying oad is(a) linear

(bl parabolic

(c) cubic

(d) constant

A poftion of the beam bet'r,,een wo sdctians is saidto be in pure bendingwhen there is

(a) constant berding mofient and Ero sl.€ar [orce

(b) constant shear force and zero bending rnoment

(c) constant b€nding moment and constani shear

ld) None of the above

(vi)

(vit

(viit)

BEr-o22 P.T.O,

8/3/2019 BET June 2005


(ix) Ii the length of a simplysupportedbeam carryinga

concentrated load at the centre ]s doubled, the

defleciionat the centrewill becone

la) hro times

(b) four tim€s

(c) eight times

(d) sixteen times

An isotropicmaterlal s one which has

(a) same elastic properties in all three direcilons

(b) same elasticproperties in at least two dlrections

(c) different elastic properties in all direciions

(d) None o.f'!he above

Buckling oad for a columndependsupon

(a) length of the column only

(b) least lateral dimension only

(c) both lensth and teast lateml dlmension


Principalplanesare the planes

(a) which have maxlmum shear stresses

(b) which ha'"€ zero sh€ar shesses

(c) which ha!,€ maximum normal stresses

(d) which have minimumnormal stresses

{x)

{x')

(xit

BEI.O22

8/3/2019 BET June 2005


(xiii)

lxiv)

A propped canttlever is a,/an

(a) stable and statisticallydeterminate beam

(b) unstable and statistically indeterminate beam

(c) stable and statisiically indeterminate beam

{d) unstableaDdsiatisticallg determinate beam

If th€ load at the free end of a caniileverbeam is

doubled

la) sjope and deJlectjon al the fixed end will

(b) slope and deflection at the fixed end will

(c) slope and defleciion at the fixed end willremain

unchanged


A iimber beam 200 mm wide and 400 mm deep s simply

supported over a span of 4.0 m. Find th€ maximum

uniformly disiributed load that the beam can carry, if ihe

bendingsire.s s nor to exceed8 N/mm2.

If a 2.0 m long bar having a square crosss€ction of

300 mm side is subjected to a compressive force of

600 kN/mm2, find the change n votume f elastic onstant

E and r for the material are knour as 100 kN/mmz and

0.2 respectively.

l 4

14

BEl-022 P.T.O

8/3/2019 BET June 2005


4. A beamABCD 20 m long s loaded s shown n figure.

Th€ beam s supported i B andC. Draw B.M. andS.F.diagramndicating rincipal umericalalues.

tzm-t------."............_2n --1- 6^ -,

A compound bar is constructed y fast€ning hree bars

50 mm wide by 12 mm thick together io form a bar

50 mm wide and 36 mm thick The middle bar is of

airrninlum atloy {oI which E = 70 kN/mm2 and the oulside

bars are of brasswith E = 100 kN/mm2. If the barsare

initially astenedat 18oC and temperature f thewhole

of

the assemblys then raised o 50' C, delermine he stresses

q€tup in lhe brassand lhe aluminrurn. , dnd o .

may be taken as 18 x 10-6 Kr and 22 x 1O-5 K:1

respectively.

A beam of triangularcrosssectionoI basewidth 120 mmand heigbt 100 mm is subiected o shear torce of 5 kN.

Find ih€ maximumshearstr€ssat th€ n€utralaxis.

A solid shaft has to transmit90 kW power at 160 RPM.

Find the suitablediameter{or ihe shatt if the maximum

torque transmitted in each r€volutjon exce€ds he mean by

25%. Take allowableshear stressas 70 N,/mmz.

14

6.

l 4

14

1 4

BEl-O22

8/3/2019 BET June 2005


A steel bar of.ectangu)arsection40 x 60 mm pinnedai

eachend is 3 m long. Determine he buckiing oad when it

is subjected to axial comprcssion and also calculate axial

stress using Euler'sexpression.Determine,the mininum

length or which Euler'sequalionmay be valid. 14

Take pyoportionality limii as 250 MPa ahd

E . 200 GPa {2 \ 105 N/mn21

BET422 1,000

8/3/2019 BET June 2005


8/3/2019 BET June 2005


Diploma in Civil Engineering / Diplomain Electrical & Mechanical Engineering


June, 2OO5

BET-023 ELEMENTSOF SURVEY

Time , 2 hours Moxinum Morks : 70

Note . Question no. 7 is c!mpulsory. Attempt ony four

questions rom the rcmaining. Al l questions carry

equal marks. use of colculator is permitted

1. Select the most appropriate an$,/er for each of the

following multiple choice obj€ctive type quesiions given

below. 2x7=14

(i) Geodet:c suweying is dilferent lrom Plane 5urveying

(a) the curvature of th€ €arth

(b) the la€e difference of elevationbetreen various

po,n$

(c) coverage of very large area

(d) undulations of the iopography

BET-023 P.T.O.

8/3/2019 BET June 2005


(i t

(iii)

(ivl

(v)

Number of link in a 30 m metric chain is

(a) 100

(b) 150

(c) 180

(d) 200

'Ranging'is the processof

(a) Iixing ranging ods on d suney line

(b) aligning the chain in a straight line behveen tro

(c) iaking olfsets from a chain ljne

(d) chaining over a mnge of mountains

Which of the following is not used for measuring

n,rhon.li."l:r ^flc,lc ?

(a) Line Ranser

(b) Sieel Tape

(c) Optical Square

(d) Cross Staff

Local attraction n compasssuruegingmay exist due

(a) incorfeci levellingof magneiic needle

(b) lossof magneiismof the needle

(c) friction of the needle at the pivot

(d) presence of magnetic substancesnear the

BET.O23

8/3/2019 BET June 2005


{vi)

{vit

Il th€ R.L. of a B.M. is 100.0 m, the backsights1.215 rn and he foresights 1.8?0m, the R.L. of

the torward fationsla) 99 345 m

(b) 100345 m

(c) 100.655m

(d) 103085 m

The instrumeni sedor accurateenteringn planetabiesurveys

la) Spirjt level

(b) Alldade

(c) Plumbing fork

{d) Trough compass

2. Dilferentiate between the following ierms :

(i) Plan and Map

(ii) Plane Survey and Geodetic Survey

(ii0 Main Stationand Tie Siatton

(iv)Backsight and Foresight

3 ! x 4 = 1 s2

3. {a) A 30 m chain was found to b€ 3 cm too long after' chaining 1800 m. The samechain was observed c)

be 5 cm too long alter chaining he total distanceof4000 m. Assuming hat the chainwas correctat thecommencement of work, find the true iength of the

total distancechained.

BET.O23 P.T.O.

8/3/2019 BET June 2005


{b) WiL\ the help ol a n€at sketch,describ€ he 3-4-5

offsei method for obtainingperpendicular ffsetto a

cbain )ine. 10+4=14

4. (a) Deline the {ollowing ,

(i) Magneticdeclination

(ii) Local attraction

(b) Convert the following reduced bearings io whote

circleb€arings

(i) s 54'32 W

(it s 39"52',W 7+7=14

6.

Following readings were taken during a levelling exetcise.

The inshment was shifted atter 5s and 8th reading. Enter

the r€adings in the regular li€ld-book format and find RLso{ the statiom, if the RL of stariing slation is assumed to

be 105.000.

2430 . 3546 . 3113 , 2106 , 0945 . 2 . 598 . 2744 .

7 615, 0 974, 0 823 and 0 178.

State the thtee point problem. Explain how it is solved bythe gaphical method.

Describe in brief the temporary adjustmentsoJa theodolite.

Explainhow wouldyou measurehe bearingof a line with

a theodolite.

14

) 4

14

BET,O23 1,000

8/3/2019 BET June 2005


Diploma in Civil Engineering/

Diplomain Electrical & Mechanical Engineering


June, 2O05

'gET.OZl: E/M ENGINEERING

Time 2 hours MaximumMarks 70

Note : All questions re compulsory. UseoJ calculatoris permitted.

l. Select he correctanswer rom the givenfour alternati\res

for the following multiple choice quegtions: 14x1=14(i) In cold countries, water pipes sometimes burst,

(a) the pipe contracts

{b) water expands on freezing

(c) when water {reezes,pressure ncreases

(d) when water freezes, it takes heat lrcm pipes

(ii) Heat required to raise the temperature of a body

through 1" C is known as

(a) specificheat capacity

(b) water equr\,?lent

(c) molar s!,eci{ic beat

(d) thermal capacity

BET-o24 P.1.O.

8/3/2019 BET June 2005


c-(iii) the lue of

aqis

\alzPro

(b) benreen 0 and 1

(c) negative

(d) great€r than 1

It lhe Iempevaturc of lbe source js increased,

efliciency of a Carnot engine

(a) increases

(b) decreases

(cl remains constanl

(d) lirst increasesand then remains constant

Ah adiabaLic rocessoccursat constant

(a, temperature

(b) pressure

(c) heat

{d) None of the above

(vi) The capacityof lift and craness defined n termsof

(a) the heightto be lifted

(b) carrying oad in kg or tonnes

(c) horsepowerof the motor


{iv)

BEl{24

8/3/2019 BET June 2005


{vii) When a capacjtor js connected to a batiety

la) an allernatjng currmi flows in the circu]i

{b) no curent ilows al all

(c) a current flows for some timc and finally it

decreas€s o zero

(d) cunent keeps on increasing and teaches

maximum after sorne time

A bird sitting on a high power lin€

(a) gets killed instandy

(b) gets a mild shock

(c) is not affected practically

(d) gets a fatal shock

Figue 1 shows cunents in a part of electrical cirqji.

(viir)

{n}

The current is

(a ) 1A

(b ) 13 A

(c ) 17 A

( d ) 3 7 A

e,ttAZq P.T.O.

8/3/2019 BET June 2005


tx, Four conductorsof equal ength and of resistance

10 O each are connected n the form of a squar€.

The eq{rivalent resistancebetween hro oppositecornersof tie square s

(a) 2'5 I

(b) 10 o

(c) 20 o

(d) 40 c)

An inductormay sior€ energy n

{a) its electric ield

(b) iis coiis

(c)its magnetic ield

(O both in electricand magnetic ields

In a lossless ransformer,an alternating current of

2 A is llowing in the primary coil. The number of

tums in the primaryand secondary oilsare 100 and

20 respectilely. The ,.,alue of cufient in thesecondary oil is

(a) 0.08 amperes

(b) 0.4 arnperes

(c) 5 amperes

(d) 10 amperes

lxi)

(xii)

BE -O24

8/3/2019 BET June 2005


(xiv)

(iit In seriesLCR AC circuit, the phaseanglebet een

cur.ent and voltage is

la) Any ang@ben een u ano tt

{b} I' 2

(c) r

toJ l1ny angtebetweenu ano

Which of the following quantities remains constant ina slepdown lransformer?

{a) Cunent

(b) Voltage

(c)_

Power

{d) None of the above

Answer any t.oo of the following

(a) A Carnot heat pump opemtes between the

temperatureevels - 5" C and 25" C. If the power

consumptionol the heatpumpis 5 KW determine;

{i) the rate at which energy s iejectedat 25" C,

(ii) the coefficient of performance.

{b) What are the five major air pollutants coming out of

an IC engin€ ? Explain n detail. 7

Differentiaie between the fuel systems in a Diesel

engine and a Peirol engine. 7

BET-o24 P.T.O.

8/3/2019 BET June 2005


4,

Answer any t.!o ot the following :

(a) Derive expression for work done during an

isothermalchange.

(b) Why sholrld you have trees in the exteior area of

the building? Justilyyour answer

(c) What are the proiection systemsavailable n the high

rise buildings for avoiding fire hazards ?

Answer any l!.,o o{ ihe followjng :

(aJ Three capacitors f 1 pF, 2 yF, and 3 pF are joined

in series first and then in parallel. Calculate the rdiio

ol equivalent ca!,acitance in the two cases,

(b) Calculate the potential differ€nce bet'reen th€ points

A and B ftom the data as shown in figure 2.

Figure2

BEf 024

8/3/2019 BET June 2005


(c) A 100 Q resistor, 100 mH inductor nd 100 frFcapacitor are all connectedn parallel acrossa200 V, 50 Hz a.c.source. ind he current uppliedby the sourceand its relativephaseWith r€spect othevoltage.

5. Anst er any ttr)o oJ he following

(a) A powel transmission ine feeds input power at2300 V to a stepdowntransformer,with its primary

windings having 4000 turns. What should be thenumb€rof turns in the secondarywindings n orderto get output powerat 230 V ?

tbi A 250 V DC seriesmotorrunsat 500 rpm, whentaking a cunent of 25 A. The r€sistanceof thearmatures 0.5 e and hatof the field s 0.3 O. If

the current remains constant, calculaie henecessaryadditionalresistanceo reduce he speedto 250 rpm.

(c) An 8-pote,50 Hz tnductjonmoior runsai 720 rpmwhenon lull load.Calculatehe(i) slipof the rotor(ii)

speedof thestator ieldwjth relerence o stator{ili) speedof thestator ieldwith rel€rence o rotor(iv) frequenc,of rotor curr€nts

M speed at rotor field rviih relerence to rotorconductors

{vi) speed of rotor field with reference to statorconduitors.

Ber-o24 1,000

8/3/2019 BET June 2005


8/3/2019 BET June 2005


Diplomain Civil Engineering Diplomain Electrical & Mechanical Engineering


June, 2OO5

BET-026 WORKSHOP ECHNOLOGY

Time : 2 hours Maximun Marks : 70

Note : Question no. I is

questions Jram Port

Part B

compulsory. Attempt six

A ond tbo questions Jrcm

l. Atiempt any seuen questions2 mark each).Choose he

correct answersrom amongst hosegiv€nbelow : 2x7=14

(a) The knot which can be easilyseparated ut from the

body of wood is known as

(i) Dead knot

(ii) Live-knot

(b) The tool which is used or drawinghro,parallel ines

dl a l imp on a woodensurface ^ i 'np erlnp rc

lnown as

(i) Markns Knife

(ii) Marking Gauge

(iii) MoniseGauge

BET.O26 P.T.O.

8/3/2019 BET June 2005


(c)

(d)

ie) Dunns welding,Borax is usedas a

(fl

(s)

For the preparationof oifpaint. litharge s us€d as a

(i) Base

(ii) Drier(iij) Vehicle

The abiliiy of sand particl€s to stick iogether is

(i) Cohesiveness

(ii) Adhesiveness

(iii) Collapsibility

(i) Filler meial

(ii) Parent metal

(iii) Flux

Hard Solder usuallymeltsat a temperatureoi about

( t 600'c

(i i) 400'c

tiii) 350'c

Hammersare generallgmade of

(i) Casi iron

(ii) Wrousht-iron

(iii) Cast-steel

Auger is usedas a

(i) Measuring tool

[ii) Bonns too]

(iii) Markins tool

(h)

BET-026

8/3/2019 BET June 2005


For Oxy-Acetylenew€ldingprocess,oxygen gas is

filled in the cylinderat a pressure f

(i) 90 ks,/cm2 100 ks/cm2

lii) 125 ks/cmz - 14o ke/cmz

(ir i ) I75 kg,/cm2 190 kg/cmz

A cylindrical shape in a mould can be developed

(i ) Trtangle

(ii) Circle

(iii) Rectangle

PART A

Attempt any six queslions.AII the questionscarry

equo/morks6

narks each). 6x6=36

2. What are the common us€s ol timber in building

industri€s

3. Describe n brief the characteristicsf a good oil-paint.

4. How is French'polishpr€pared ? DifferenhatebetweenPaint and Polish.

5. How are the tools of carpentry classified Explain wiih

6- What js "Settjngol SawTeeth" ? Why is it done ?

BET-o26 P.T.O.

8/3/2019 BET June 2005


7 . Distinguish etwe€n Facingsand" and "Parting-sand

Nam€ the commonsheet

metal workingmachinesas per

their natureof work.

What do you undersiand y Gaswelding ? Make a list ol

toolsand equipment equired or Oxy-Acetglene elding.

Distinguishbetw€en solderingand brazing pfoc€sses. n

brief.

PART B

Attempt anv tuo questions.All the questionscarry

equal morks 10 morkseach). 10x2=2O

Sketch and describe he construction nd working of the

"Band-Saw .

Describewiih ihe help of sketch€s,he different ypes of

"Gas W€ldingTechniques'

What do you mean by stakes ? Nam€ and sketch i\ro iypes

of siakesgiving heir uses n sheetmetalwork.

Explain n brief the uarjousyp€s of air compr€ssors hich

are gen€rally used at construction plant sites.

6 .

9 .

10.

1 1 .

12.

13.

14.

BET-026 1,000

8/3/2019 BET June 2005


Diploma in Civil Engineering ,/ Diplomaln Electrical & Mechanical Engineering


June,2OO5

BET.037 FLUIDMECHANICS

Time 2 hours Maximum Marks : 7O

Note : Al l questionsore compulsory. Use ol colculotor

is permit ted.

(c) flows in ihe absence of extemal lorces

(d) is jncomp/essibleand jnviscid

l- Select he correctaltemative. 7x2=14

(i) Neunon's aw of viscosity elates

(a) ihe shear stressand strain in a fluid

(b) the shear stress,pre&ure and velocity

(c) the shear stressand rate of strain

(d) none of the above

{ji) A uujd is a substance that

(a) cannot withstand any shear lorce

(b) cannoi remain at rest under the action ol a

sh€ar force

BET-037 P.T.O,

8/3/2019 BET June 2005


(ili) Capillarig rise and depression phenomena

(a) are observedon9 ln vertical tubes

(b) depend solely upon the surface t€nsion of the

liquid

(c) depend upon the surfacetension of the liquid as

well as the matedalof the tube

(d) depend upon th€ pr€ssure dlfference behteen

the liquid and the en\nronm€nt

tiv) Relation behreen Co, C., and Cu is

C(a) C, = :!

c(b) c, = =!

k) cd= ci"

d\ a _ ta c \1/2

(v) The pressure at a point is equal in all directions

(a) only when rhe lluid is inviscid

(b) when the fluid i5 incompressible

(c) when ihe fluid is at rest, regardlessof its nahrre

(d) in a laminar flow

BET-037

8/3/2019 BET June 2005


(vj)

(vii]

Ol the various methods of measuring discha€e

through a pipe lin€, the one with the least oss of

energyand direct r€ading s(a) by m€ans ol a venturimeter

(b) by meansof an orilicemeter

(c) by meansof a Ilow nozzle

(d) by tra\,€rsing a piiot-static probe

In parall€l-pipe ystems

(a) the pipes must be placedgeomeirically arallelto each other

(b) the flow mu.r be rhp samprn al l pines

(c) the head loss acrosseach of the parallelpipes

must b€ the same

(d) none of the abov€ :s valid

2. Answer any tt,o of the Iollowing

(a) Find the heighi through which water rises by

capillary acUon in a glass iube ol 2 mm bore il ihe

surface tension at the prevailing temperature is

0 075 N,zm.

(b) Water Jlows through a horizontal venturimeter,

35 cm x 20 cm diameter, at the rate of

0.082 cumec. f the differenceof pressures 0 32 m

of water, calculate lhe coeffici€ni o{ the

venlunmeter.

(c) An oil of specificgravity0 80 is flowing through a

pipe of 100 mm diamei€r at a velocity of 1 m/sec.

Determinewh€ther he llow i9 laminaror turbulent tihe kinematic viscosity f the o'l is 1 x lO

Emz/s.

2x7= 4

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3. Ansrrer any tuo of the loilowing : 2^7=14

{a) li) A ptpe oI 25 cm diameter cauies water with a

mean veloci9 ol 4 m/sec. Calculaie the

discharge.

{ii) ll the pipe is bifurcated jnta two pjpes al 72 crn

diametereach, Jind he v€locity n eachpipe.

A sharp'edg€dorifice of 6 cm diam€ter discharges

water under a bead of 6 m. Find th€ valu€sot the

coefficients of velocity, coeflicient of contraction,

and coefticientof discharge l ihe measured ate of

flolv is 0.016 cumecs.The diameterof the jet ai th€

vena-contractas 5 cm,

What is Euler's equaiion of motion ? Derive the

equation along a s\eatnline and obtajD Bemoulli's

€quation rom it. List the assumptionsmade l any.

(b)

k)

4. Answer any one of the lollowing , 14

(a) A 160 mm diameter pipe reduces in diameter

abruptly to 120 mm diameter. If the pipe caries

water at OO4 m3,/sec, calculate the loss of head

acoss the contYaction.Take the coefficientof coniractionas 0 60.

(b) Find the Ioss of head due to friction in a pipe

carryjng water. The pipe is 400 m long and 20 cm

in diamei€r. Th€ discharge brough the pip€ is

O05 cumecs.

T a k e f = 0 0 4 .

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5. Answer any or€ of the following

(a) The cross'section f an op€n channel s a trapezium

wiih a bottom widih of 5 m and sizeslopes1 vetticalto 2 hoyizontal. Calculaie th€ discharge if the depth

Iol warer s 2 m a-d S = __-. UseChezys lormula

II'UU

c = 4 5 . 1 4

n r 3 ! = Mb) Write short notes on any toat:

(l ) Viscosity

(ij) Turbulent Flow

(iii) Hydraulic Slope

(iv) Venturimeier

(v) Energy Gladient Ljne

(vi) Intemal Mouthpiece

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BET June 2005

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