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USN lOMAT41
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Enginee ring Mathem atics - lV
Time: 3 hrs. Max. Marksrl00
Note: Answer eny FIVE full questions, selecting atleast TWO questions from ea,ch part.
PART. Aa. Obtain y(0.2) using Picards method upto second iteration for the initial value problem
Fourth Semester B.E. Degree Examination, June/July 2Ol5
+ = x= -2y y(o) = l.dx
b.
c.
2a.
",,.' 06 Marks)
Solve by Eulers modified method to obtair y( 1.2) given y' = ffi yQ) = 2. (07 Marks)
,
Using Adam Bash forth method obtain y at x = 0.8 given'. ' (07 Marks)dvr^a=x-y' , y(0)=0 , y(0.2)=0.02 , y(0.4)+,0;0795and y(0.6)=0.1162.
1Jox {'"}.., ,,
i% .,,,,,-'..f
Solve by 4'n order Runge Kutta method sim-ut#e'ous equations given bydx dv t"'l
-=y-t , +:X*t withx= 1=!af t=0, obtainy(0.1) andx(0.1).dt dt :' (06 Marks)
b. Solve di / du \' i
- dx, -.|.AJ * y' =0, y(%= t, y'(0) = 0. Evaluate y(0.2) correct to four decimal
places, using Runge Kutta method of fourth order. (07 Marks)c. Solve for x = 0.4 using Milnes predictor corrector formula for the differential equation
y" + xy' + y = 0 with y(0) = l, y(0.1) = 0.995, y(0.2) = 0.9802 and y(0.3) = 0.955. Alsoz(0) =9, z(0.1)=-0.099s , z(0.2) --0.196, z(0.3) =-0.2863. (07 Marks)
Verify whether f(r) = sinZz is analytic, hence obtain the derivative. (06 Marks)
Determineiil.analyticfunctionf(z)whoseimaginarypartis*(07Nxarks)x-+y-
Dgfine a harmonic function. Prove that real and imaginary parts of an analytic function are
offior't. (07 Marks)
".' Under the mapping w = e', find the image of i) I <x<2 ii) % . y . ;. (06Marks)
Find the bilinear transformation which maps the points 1, i, -l from zplaneto2, i, -2 into w
3a.b.
c.
i
,$;t3iu'i"' ' b.
plane. Also find the fixed points.c. State and prove Cauchy's integral formula.
(07 Marks)(07 Marks)
(06 Marks)
(07 N{arks)
(07 Marks)
PART - B
a.
b.
c.
Prove Jn(x) = * [J^ r(x) * Jn+r (x)].
Prove (n+1 ) P,(x) - (Zn+l) x P,(x) - n Pn-r(x).Explain the following in terms of Legendres polynomials.
^o+3x3-*'+5x-2 I of 2
a. A class has l0 boys and 6 girls. Three students are selected at random one after another.Find the probability that i) first and third are boys , second a girl ii) first and secondare of same sex and third is of opposite sex.
If P(A) =0.4, P(B/A) = 0.9, P(B/[) = 0.6. Find P(A/B), P(A/B ).
(06 Marks)
(07 MarH$b.c.
c.
Xn a bolt factory machines A, B and C manufacture Z\a/o, 35a/r, and 457o of the total.,gf"fteiroutputs 5a/o, 4o/o and 27o are defective. A bolt is drarvn at random found to be"'dHbCtive.What is the probabiiity that it is from machine B? ,**q' (07 Marks)
a. A random variable x has the foll distribut
Find k, mean and S.D of the distribution. (06 Marks)b. The probability that a bomb dropped hits the target is 0.2. Find the probability that out of 6
bombs dropped i) exactly 2 will hit the target ii) atleast 3 will hit the target.(07 Marks)
Find the mean and variance of the exponential distribution. (07 Marks)
A die is tossed 960 times and 5 appear 184 times. Is the die biased? (06 Marks)Nine items have values 45,47,50,52,48, 17,49,53,51. Does the mean of these differsignificantly from assumed of mean of 47.5:',(, = 8 , to.os = 2.31). (07 Marks)
c. A set of 5 similar coins tossed 320 t ives following tablS I ves w e.
No. of head*,"r* ,,Q; I 2 3 4 5
6 27 72 tt2 7l 32
Test the hypcthesis that data folloiili binomial distribution (Given y - 5, Nl.r, = 11.07)(07 Marks)
8a.b.
o ow on:x: -2 1 0 1 2 3 4
P(x) : 0.1 0.1 k 0.1 2k k k
88***
tiE(.rn ev
USN
Time: 3 hrs.
Note: Answer any FIVE full questions.
Find the angle between 2 diagonals of a cube.
the perpendicular drawn from A to BC.
c. Find the equation of the plane in the Intercept form 1*I +? -1,,abc
Provethat(dx6;' d:(d:d) 6 -fU.e )a.
Provethat 1[F.G]: F. dG*oF. G.
dt L -r ' dt dt
Find the velocity and acceleration forthe curve i : (1+') i + (1 +hjand also find their magnitude.
Fourth Semester B.E. Degree Examination, June/July 2015Advanced Mathematics - ll
MATDIP4Ol
Max. Marks:100
! ri: ."
(06 Marks)
(07 Marks)
(07 Marks)
(05 Marks)
(15 Marks)
(05 Marks)
(15 Marks)
ooa(€ir
=a
()
(.)
dn,C)xbo-
cdu-o ..'on ll
.g?;i -r
.= c{(!$nboY()'otr_c(.)
o>8qgsbU(sO
o0tr6d
,(trCE -i
'1' (6
t=9As
a9trto.;al)Sr 'l9E5au: t-E
s..! c)?e>!uovtr DI)
o- ii
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-C\G)
z
tro,ifi
la.b. If A(0 9 6), B(l 2 3) , C(7 - 25) are vertices of a triangle. Find the coordinates of the foot of
2a.
b.
Find the equation of the plane passing through the three pointS.(2,3,4) , (-3, 5, l) (4, -1,2).(06 Marks)
Find the equation of the plane through the points (1, 2, -1) and perpendicular to the planesx + y -22: 5 and 3x- y + 4z: 12. (07 Marks)
c. Find the equation of the plane through the points (-1, 2,0) and containing the plane2x+ 3y+52-l:0and3x+y-z*2:0. =t
- (O7Marks)
a. Findtheunitvectorparalleltothesumofthevector A:2i+4j-5kand E:i+ 2j+3k., , (06 Marks)
b. Determine 1" suchthat A : i+i * [';'fl :2i- 4k. a : i + ],j + 3kare coplanar.(07 Marks)
(07 Marks)
(06 Marks)
+ (2t - 5)k at t : 1
(07 Marks)
(07 Marks)
Find the directional derivative of $ - x2yz * 4xz2at (1, -2, -1) along 2i - j - 2k. (06 Marks)
If F :(x+ y+ 1) i +j -(x+ y)k. Find F.curlF. (07Marks)
Show that V.(V , A ) : 0. (07 Marks)
c.
a.
b.
5a.b.
c.
b.
a.
c. tt*=fr,ia ,rd #=frx6 thenshowthat 1[dx6]: ,fr,x(ax6).
Find L f(t) given that f(t) : {: ; o <t <4
L5; t>4Find i) L[e3'sin5t sin3t] ii) L[ts cosh3t] iii) L;t3 e-3'1.
Findr[E]Lt.lb. Find i)L'[ 4s+5 ii)''[ffi] iii)L.t-r]
ce,trTBsl.LlSSrASr"t
4 B K t 3 C a o S
(s-l)2(s+2)
1 of),
MATDIP4Ol
8 a. Using Laplace transform solve :
g' * 4y* 3y = st ; y(0) : 0 y'(0) : l. (10 Marks)dt,
'dt -r J\-'' - J \-/ \-
b. Solve using Laplace transformation methody" + 2y' - 3y: sin t, y(0): y'(0): 0. (10 Marks)
2 of2
L\ 13 td \ ?t- C U 0 L I
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=U)
0)(l,c)l-r
E9oo-
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bo ll
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EE-.E3EbU
OEo0tr(lld
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'O ct
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lr 0)
3P>l=boetrbo()=Lr. g
=c)()*.i
oa'-.it',c^i()
z
1a.b.
c.
USN
Fourth Semester B.E. Degree Examination,Goncrete Technology
Time: 3 hrs.Note: l. Answer FIVE fuU questions, selecting
at least TWO questions from each parl2. fJse of IS - 10262 - 2009 is permitted.
**-,"?i#
PART - A -....,.-..).''..:-
,. " '" '1ii
What are the various laboratory tests conducted on cement? * " '*'!05 Marks)Explain the importance of conducting the soundness test on cement aqd.'Qe procedure ofconducting the soundness test. I\1 (10 Marks)Explain with the flow chart the manufacture of cement by wet proce$g.". i (05 Marks)
.. ,;.r,
2 a. Explain the importance of shape and texture of aggregate used,inlffincrete. (10 Marks)b. Which are various tests conducted on coarse aggregates fo1.dpftnhining its strength?
.,-.,,,;'.# (05 Marks)c. Explain bulking of aggregates.
,,,ffi* (05 Marks)
3 a. What is an admixture? What is the effect of air entraiffi'bnt on the properties of concrete?. ., ti,..,.
b. Write short notes on accelerators and retarder"r:ira' 't.'f
'.:r.ltlE
4 a. Define workability andJist the factors-a{fe0ting workability. (08 Marks)b. List the various tests to measure wo,rlEffiity and explain KEE BEE consistorneter test.
6a.b.
7a.b.
t' -' '''-''t,.'J'q 'ilir-t
',ih,'ttPART - B5 a. What are factors affecting *&etr.ngth of concrete?
b. ExplainJfoe aecelerated,qXdht test orl concret6 bubes.c. WIte short notes on_B-ffistrength of concrete.
Explain briefly thi* &dtors affecting modulus of elasticity of concrete.Discuss the fr-cfol8 affecting creep.
'if,"'.,q lir.".,Jr
Explain-ffie*different methods of controlling sulphate attack on concrete.Dise-us;'the durability of concrete in sea water.j*,',..1...,#
8 _*"D*e,s'ign
a concrete mix by IS method for M30 grade concrete as per IS rc262-2009..*,t-,;1,- a) Grade : M30h# b) Cement : OPC - 43 Grade
, c) Maximum Nominal size of aggregate : 20mmd) Minimum cement content : 320 Kg/*'e) Max. w/c Ratio :0.450 Workability : 100mm slumpg) Exposure condition : severe (Reinforced concrete)h) Method of concrete placing : pumpingi) Degree of super vision : Goodj) Type of aggregate : Crushed Angulark) Max. Cement content :450 Kg/m3l) Chemical admixture : Super plasticizer.
(12 Marks)(08 Marks)
(12 Marks)
(04 Marks)(08 Marks)(08 Marks)
(10 Marks)(10 Marks)
(10 Marks)(10 Marks)
Max. Marks:100
I of 2
Test Data for materials:i) Specific Gravity of cement : 3.15ii) Specific Gravity of C.A :2.74iii) Specific Gravity of F.A :2.74iv) Water Absorption for
l0cY42
(20 Marks)
1) C.A2) F.A
v) Free surface1) C.A2) F.A
0.s%1.0%moisfureNIL (Absorbed moisture also NIL)NIL
vi) Fine Aggregate conforms to grading zone - I1) oftable 4 of IS 3832) Coarse Aggregate
*{<rt**
IS sievesize (mm)
Analysis of coarseAggregate fraction ffi *f
U iff.rent FractionsRemarks
I II II40%
Combinedt00%
2010
4.7 5
2.36
r000
lop,..#7l'4,.'
-r*#40rlPr% O
600
4028.s3.7
10028.s3.7
ConformingTo Table 2of IS 383
2 of2
USN
Time: 3 hrs.
load, using conjugate beqffittrod.
Determine the deflectionenergy method.
f- gtr,
--4+-d'n J
Fie.Q2(b)
the bent shown in Fig. Q3(a),
lDht'l
Fig.Q3(a)under 60 ld{ loads in the beam shown
10cv43
Max. Marks:100
(10 Marks)
by real work method(10 Marks)
in Fig.Q3(b), by strain(10 Marks)
":.fn\*.Fourth Semester B.E. Degree Examinatib$s 2015
Structural Analysis - I
Note: 7. Answer any FIW faU qaestions, selectingatleast TWO questions from each parL
a.
b.
c.
b.
C)()'-E a(.) ICgl<
U1
'<,C)
.go
E9
6v
ao ll
tr-09.=c{ .(s$ Lbi0ol5q)
o>Eq
BSbd
o€b0trcrdEX>ii-(t641rd-bts5rji()HB5.8oj
EH 3c,)tEtr.;iLi0)?1,>1=bo-tro0rt a!E:,;\ .F
- d ':!. "rt.
ts&9 -',o.,-LolX l.r -ir 1.
I x: irir! Fi... .,'! ..
.^ ,Ft \1, .d-?,,4."'"-1ri.
;z(6
E
2. Missing data, if any, may be suitably assumed.
PART - A.,F,.- "rr,rf
Distinguish between statically determinate and indeterminate structures wrHji'amnt3.. ,__.,* ".*,ii (08 Marks)
Find degree of indeterminacy of following structure shown in Fig. Q1€B["-- (06 Marks)
Fie.Q1(bxi) Fig.Ql (bxii) u' f,,.,,t Fie.Q 1(b)(iii)
(06 Marks)
Calculate the deflection(10 Marks)
SWlnr
9r**4ot c $r)*_'",rrr
"' Fig.e2(a)b. For the beam shown in Fig. pffOl. Determine slope at left support and deflection at 100 kN
A cantilever beam of length 4 m is loaded ur qii.d,p,n in Fig .Q2(a).and slope at free end by moment area methq,&#aking EI is constant.
Fig.Q3(b)
4a.
b.
Determine the reaction at prop for a propped cantilever beam carryinglength throughout span" Take EI is constant using strain energy method.Analyse the fixed beam by strain energy method and draw SFD andFie.Qa(b).
10GV43
of UDL of dunit(08 Marks)
BMD. Shown in(12 Marks)
. ..i
Fig.Qa0)
PAR.T _ B
5 a. A three hinged parabolic arch has a span of 20 mts and rise of 5 mts. {rrearri.s a udl of2 kN/m over the left half of the span and a point load of 721d.{ at 5 ryq"'hom the right end.Find the BM, normal thrust and radial shear at a section 4 mts from tffi.pfrA. (12 Marks)
b. A cable is suspended between two points A and B 100 mts apaffiffit'h central dip of 8 mts.It carries udl of 20 kN/m. Find : i) length of the cable ii) maxiar,$m'and minimum tension inthe cable
*-,H (08 Marks)
a. Draw SFD and BMD for the propped cantilever bea$aNpad'6d as shown in Fig. Q6(a). Usingconsistent deformation method. t*sl (10 Marks)
.*A -,fig'Q6(a)b. Analyse the fixed beam shown ik&;.p6(b). draw BMD and SFD by consistent deformation
method. *.d"r, " (10 Marks)
'1? "illi1;l
lir1*-h$ ;1
&.u&#
by Clape5rron's three moment theorem.(20 Marks)
Find the horizontal thrust for the two hinged arch as shown in Fig.QS. The moment of inertiaat any section is Ic sec 0 where 0 is the slope at section and Ic is MI at the crown. Neglectthe effect of rib shortening. Draw BMD.
Fig.Q8*{<**rk
2 of2
/ra--ss- Za-
(20 Marks)
USN
B ,* V (10 Marks),\,I Z a. What are the permanent adjustments of a theodoJifeq E-xptain tne spke test. (10 Marks)
angles by repetition method. List the en'ors that are flFmffinated by this method."*WflO
tments of a theodo&te? Explain theere made during ffittire of a du
Instrument tsshff Readins on
@tr #rA BAru\# 1.702 2.244
ffid 2.146 3.044
; b. The following obseruations were made during d&ttire of a dumpy level
Distance AEi : 1500 meters. k wIs the instrument in adjustrpffio what reading should the line of collimation be adjusted
o)
G)
Ban
oCB
dC)
j ts the instrument in adjustrTg{h\o what reading should the line of collimation be adjusted
! *"n tne instrumentvl(F? rf RL of A = 432.052ro" what should be the *
"lr"J**ur,
! I a. What ls a tota sq@rY List out the advantages oftotal station. (04 Mrrk)f U. Derive the
"nar[tio* for the horizontal d'lstance, vertical distance and the elevation ofan
E object by Sq@ plane method, when the base is inaccessible (08 Merks)
i c. In orderl$Xcertain the elevation of the top(Q) of the signal on a hil[ observations were
€ -raf@h two instrument stations P and R at a horizontal distance 100 meters apart, the
f stq(B f and R treing in line with Q. The angles of elevation of Q at P and R were 28o 42'
E ,.4$t'18o6' respectively. The staff readings upon the l616hmark of elevation 287.280 meters
t Cl*ere respectively 2.870 and 3.750 m when the insfrument was at P and & the telescopeg .1 - being horizontal Determine the elevation ofthe foot of the signal if the height of the signal
(08 Marks)
\P\\-'J4 a. Derive the expressions for distance and elevation when the staff is held vertical and the line..it of sight is inclined. (10 Mrrks)
b. Determine the gradient from a point A to a point B from the following observations madewith a tacheometer fitted with afiafiallactic lens. The constant at the instrument was 100 andthe staffwas held vertically.
Instrument station Staffpoint Bearine Vertical ansle Staff readinesP A L340 +L00 32' 1.360, L.91,5,2.490
B 224" +50 6' 1.065, 1.885, 2.705
Sunreying - llTime: 3 hrs. Max. Marks:1
Notez 7. Answer ary FIW fuW questians, seleaing 1 \,.K#X:,ffi:rromeachpan oF'
.g t Missingdata,iJary,maybesuitabUassumed.,nbt
€ pARr-A ^bE
! t a. Explain the following terms with reference to theodolite r ,^S'E il transiting ii) swinging iii) line oJ,$fu-mationt iv) horizontal axis v) faceleft observation. ,tS (10 Marks){t rv, uurtzuut4r irl'rD v,, rauctE.rr. uusErvillruu. l\\., (ru l\llrrKs,
I b. With a neat sketch and tabular column, explain tbr .hlu*.r."-"nt of horizontalE angles by repetition method. List the errors that are ctfinated bv this method.
(10 Marks)
PART - BWhat are the different methods of settingout a simple circular curve?
lOCV/CT44
(04 Marks)5a.b.
c.
6a.
b.
7a.
b.
8a.
Calculate the ordinates at 10 meters distances for a circular curve having a long cho4kof80 meters and a versed sine of 4 meter. 1oo n*qfuyTwo Tangents intersect ata chainage of 1000 meters, the deflection angle being 28" fficlrTateall the data necessary to set out a simple circular curve of 250 mt radiur by^rym.ine'smethod and tabulate the results. Peg interyal - 20 mt; Least count of theodotit&ZU second.
S*%* (10 Marks)
Draw a neat labeled sketch of compound curve and giving the rlqo&;yof a compoundcurve. Explain the method of settingout compound curve. #?)# (10 Marks)A compound curve consisting of two simple circular curves offfii$50 m and 500 m is tobe laidout between two straights TrI and TzI. PQ is the ffion tangent, at point ofcompound curvatur€, D. The angles IPQ and IQP are rggffiiiely 55o ad 25o. Sketch andcalculate the tangent lengths TrI and ITz. t fu* (10 Marks)
fc&u v
What is phase of a signal? Derive the expres;jon%r phase correction when the brightportion is bisected. kt # I (10 Marks)From on eccentric stations 'S',12.25 meterffie west of the main station B, the following
angles were measureAlgsc :76o 25'fiZ"*afr IESA:54o 32' 20". The stations S and C are
to the opposite sides of the line anffiuhte the correct angle ABC if the lengths AB andBC are 5286.5 mt and 4932.2 mffitively. (10 Marks)
*., WA series of offsets were ruQffirl a chair, line to a curved boundary line at intervals of 15meters in the following og{m"
b.
0,2.65, 3.90, ; 4.65, 3.60, 4.95, 5.95 mCalculate the area the chain line, the curved boundary line and the end offset by :
i) Average ordil) TrapezoiQlkfleiii) Simpso#ffiule. (10 Marks)
ff;ffiankment is l0 mt wide with side slop es lYzto 1. Assuming the ground to beleveffihirection transverse to the centre line, calculate the volume contained in a length ofI Q.ft#ters, the centre heights at 20 m intervals being in meters
s\Y.2, 3.7, 3.9, 4.0, 3.9, 2.9, 2.5. (10 Marks)
,F ,F :f {c ,f
&* *\.
ffi;%A&"q-*q\ffih.k {d
&.
2 of2
4 B t, I L C U 0 E
a.
b.
a.
qja(.)
a
a)
=C)
A^\ox
J!n-ooo ll
ccp.= c..l(B\r-ooi 6.)
og-c c)
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5E-d69E5.)aL=
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dE>r(Hboocbo
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=6)Etrc>U<<N
o
zi|J
USN 10cv45
Fourth Semester B.E. Degree Examination, June/July 2015Hydraulics and Hydraulic Machines
Time: 3 hrs. Max. Marksrl00
Note: 7. Answer any FIVE full questions, selectingatleast TWO questions from each pnrt.
2. Assume missing data suitably.
PART-A . ...'r,,
, t,, "'
a. Explain the terms: distorted models and undistorted models. (04 Marks)b. Explain Froude's model law. List its application in fluid flow problems. (06 Marks)c. The resisting torque T against the motion of a shaft.,fo,a lubricated bearing depends on the
viscosity p, the rotational speed N, the diameter D and bearing pressure intensity P, show
that r=pND3Qt*] (10 Marks)
What do you understand best hydraulic channel section? Derive the conditions for best
A trapezoidal channel with side sloper of 3 horizontal to 2 vertical has to be designed toconvey 10 m3/s at a velocity of 1.5 m/s, so that the amount of concrete lining for the bed andsides is minimum. Find: i) fhe wetted perimeter; ii) Slope of the bed if Manning's
,i
Derive the differential equation for gradually varied flow and list all the assumptions.(10 Marks)
wide at a depth of 1.6m.
(10 Marks)
b. A discharge of 18 m3is flows through a rectangular channel 6mFind:i) Specific energy headii) .. Critical depthiii) State weather the flow is subcritical or supercriticaliv)' What is the depth alternate to the given above?
a. Derive the expressions for force exerted by a jet on an inclined plate in the direction of thejet. i) When the plate is stationary? and ii) When the plate is moving in the direction ofjet? (10.Marks)
b. A jet of water of diameter 25mm strikes a 200mm x 200mm square plate of uniformthickness with a velocity of 1Om/s at the centre of the plate which is suspended vertically bya hinge on its top horizontal edge. The weight of the plate is 98.1N. The jet strikes normal tothe plate. What force must be applied at the lower edge of the plate so that plate is keptvertical? If the plate is allowed to deflect freely, what will be the inclination of the plate withvertical due to the force exerted by the jet of water? , (10 Marks)
I of 2
5a.
b.
6a.b.
8a.
10cv4s
PART - BI
Show that for a free jet of water striking at the centre of a symmetrical curved vane themaximum efficiency is slightly less than 60%. (10 Marks)A jet of water having velocity 45mls impinges without shock on a series of vanes moving at
15 m/s, the direction of motion of vanes being inclined at20o to that of the jet. The relativevelocity at the outlet is 0.9 of that at inlet, and the absolute velocity of the water at the exit isto be normal to the motion of vanes. Find: i) Vane angles at entrance and exit andii) Hydraulic efficiency.
Classify and explain different types of turbines.
also hydraulic efficiency. Take speed ratio : 0.45 and Cv : 1.0.
t,ta't '
What is draft tube? What are the functions of draft tube?
A penstock supplies water from a reservoir to the Pelton Wheel with a gross head of 500m.One third of the gross head lost in friction in the penstock. The rate of flow of water throughthenozzle fitted at the end of thepenstockis 2 m3/s. The angle"bf deflection ofjet is 165owhen the vanes are stationary. Determine the power given by the water to the runner and
(10 Marks)
(10 Marks)
(10 Marks)
(06 M,nrks)7a.b.c.
With the help of a neat sketch, explain the compohent parts of Kalpan turbine. (06 Marks)A Kalpan turbine produces 60000 kW under.a.net head of 25m with an overall efliciency of90%. Taking the value of speed ratio as 1.6''and flow ratio as 0.5 and hub diameter as 0.35times the outer diameter, find the diameter and speed of the turbine. (08 Marks)
Expiain manometric efficiency, mechanical efficiency and overali efficiency of a centrifugalPumP. i: (06 Marks)Describe with sketches pumpq'in series and pumps in parallel. (06 Marks)A centrifugal pump running at 1450 rpm discharges 710 litres per second against a head of23 metres. If the diameffi of the impeller is 250mm and its width is 50mm find the vaneangle at the outerperiphery. The manometric efficiency of the pump ts75oh. (08 Marks)
b.c.
:l€**X*
2 of 2
"/
USN I TI_I 10cy46
(20 Marks)(10 Marks)(25 Marks)(05'Marks)
(10 Marks)(10 Marks)
and develop a single
Fourth Semester B.E. Degree Examina ly 2015
Building Planning and DrawingTime: 4 hrs. Max. Marks:l0BNote: l. Part A is compulsory and answer any Two full Qluestions from Part B
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