gate agricultural engineering 2008

7/28/2019 GATE Agricultural Engineering 2008

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MI\IN I'AI'i.:Jt-AGAG AGRICULTURAL ENGINEERING

Durario11 : 111rce Hours J1-ftuimum Marks :150

Read the foilon instructions caret'ully

AG

l. T h i ~ que-.tinn paper contaJOo; 16 printed pages indudin pages for rough work. P l e a ~ e check a ll p a g e ~and repon (hsacpum.:y, if any .2. Wn te your registration n u m ~ r ynur name and name of the exammatann centre Jl the specifiedloc:Jt1nns on the tight hall of the ORS.3. Using HB pencil . di!rl


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MAIN PAPF.R- A(i

Q. 1 - Q. 20 carry one mark each.Q. l 1r fcx) i:. ;1 perfec t norm al drs tribution with m e . ; ~ n and s t : ~ n d a r d de\1a1ion ol:; :md I respecuvely.then the value nf th 1 fnr x =6 j. + 4 .\(C) y = Jl213).\ ' 4r-tk

(C ) i - 2j i k

(Bl t cxp(2l)(D ) 1: expC![)dv . r ! + 2- - = - - ISd\' y

IDI 2i 4j

(B ) .v = Jr2n> r 3 .,.. ...J..\ +k( 0 1 \ = ("2/3).r1 +4 \ + k

Q.9 The a1CL1 oL1 < : ~ p ploued to a scale of l :JOOO measure:. 9069 . 7 mm1. lne :!0 m chain used tor thissurvey was shal l by 0 .:! m. ll lc true land ; : ~ r e a it represents is(AJ 83281 m (13) 8::!449 m- (C) 80808 m fD ) ROOOO

Q.l 0 To m c a ~ u r e the difl'cn:m.:c in tcve l pre.:isely between two points ' ' Hh a c l i n g r u m e mco il imat ion crmr. the methvd to be ~ L " - d ts

Afi

(A ) re1.irn'k.:'al le\elingCCI m p u u n d k vchng

rB lcvcli ngtD) profile leveling

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:!OOl! MAIN PAPER-AG

Q. l l Three catchments A. M and F ea.ch having an area of 10,000 are '>lluated in an and zone.mountainous region of a l ~ ! m p e r a t e zone and flat rcgun of a tempcr;1te zone rt.-specuvely. 'Incdesirable number o l hydrometenrolngJcaJ stauon' for l h ~ c three catchments. N, . N\l and NF1espe.:tin!ly will he ~ u c h that

Q.l2 The l"ol IO\\ ulg design paramctc.:r::. nf contour bunds c t e d on a l.tnd ut"Jf'k !>lope are Hen:V. I. = I .2 m, base width = .5 m. top width= 0 .5 m, height= 1.0 m. A s ~ u n 1 1 n g the length for sideand l;ueraJ bunds as 30'l of the length of contour b u n d ~ . the land ;u ea lost due to buncl ing is


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MAIN I'Al'f.R- AG

Q.20 'llte nature of variation of tracli ve e-fficiency tTE) with wheel slip (S) in a rear whc:el driven LractorIS(A) (BI

TE ~ TE _/s s(C' l tDlTE ~ TE /

s sQ. 21 to Q.75 carry two marks each.

Q.21 The c;;nm:latJon analysis bctwct:n X and Y variJ.bles assuming the parabol ic relationship revealed an o n h n e : ~ r \:orrelaLinn coefficicm of 0.98. 'TI1e percentage of the total variatiOn thnl remainsunexplaml!d by a!-.-.umrng rarabohc rclaLion


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MAIN f>API:.R- AG

~ d\c- ! f h d"f"f . I . 7 .Uttnn o t c 1 erenlla equ:uwn - - - - = e tsd\" -(B' ,, l fc7 ' - ( Cle' ) ' I{D ) e ' L C e ~ + (6e' )- 1j

Q.27 A dayey soil ha'> a field ca pacity of 0.38 m n t - ~ and wilting point of 0 .24 mJ m 3. If the specificweight of the so il is I ?..75 kN m-' and the effc..:ttve root-zone depth ts 0.8 m. the available moistureholdmg capacity j-.

~ A l l 5 c m (B l 11.2 c.:m (CJ 1.1:! em m1 :!0.8 emQ 28 A nmo,. of 150 L s 1 was suppl ied for 8 hou rs from a tank to inigate ha of land . ll was found that

the actual delivery rate at rhe farm was l e ~ s than 150 L s 1. If the conveyance loss was 864 mJ andpercolation and runoff los..es in the field w 2.$0 and 760 m' respe'-tivcly, the water applicat ioncff1cienc.;y of Lhis system 1slA) s o ~ ((") 77% W )71%

Q.29 The i i O \ \ l dat:t were obtained from an agric.:ultural land rcywnng a PIJ'C drat nage syMe rn forgroundwater o n u u l :Hydraulic conduc.:uvity = 8.3


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~ O i l S MAIN I"M"F.R- "G

Q.35 I f W is the width of a bench terrace constructed on a land of slope S. then the drop CD) between twoc u n s e ~ u t t \ e bench terraces for a riser slope of Yl : I is gtven bytA ) D = WS/( 100- Sl(C) D - ::!WS/(200- S) rotem. lat. 5c7c ash and ~ 5 c , 1moisture v.ill be

CB) 2.14 (C)4.:::!1 (0 J6AIQAJ Potatnes 1re dm;d from 14r1- In 9Jit lotal ~ u l i d s C o n ~ i d e t i n g p


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Q 58 The followtng d:ua L U r r c ~ r o n d to the height-wetght rmw (H/W) in mm k! (1 of a population or sixagnLult\mtl workers en11-'loy!!d 1n the operation o f a manuall y operated weeder.

TI1e dimcn ..1on of the operator corre:-.punding li.J the li flh- pe rcenule of the pnpulauon tsfBl :w.-+9 (C) :2 1.99 (Dl 23 .25

Q.59 One kilogram of mr IS b J e c to polytropic compression f10m J \olume of 28 m' and a ptc-.surenf 101 kPJ to a volume of 2m } and pressure of 2 M P 1l1e external work required 10 make thiscompression possible is(A) 1.66 MJ (8 ) 2.93 MJ (C ) 3.04 MJ ID) 8.}2 MJ

Q.60 A !1ail mower is operated usang the PTO power of a tractor thwu,gh a hcvel gear dme. The Lr..tc torforward :-.p!.!cd is I 0.8 km h . The velomy .)f the nail rtp with respect to the ground i" 18 m s-1 Thelength of eac h tlai l is .WO mm and the d1 ametcr of the :.haft call)mg the fllt!r has a horizontal seedplate locatecl insttlc the hopper above the ground leve l. l hc dJ:Jmeter n f the plate 300 mm and itsangular vel


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'-lAIN PAPER - Mi

Q.66 At an engine throttle position of 75 percent. the h1gh 1dle speed of the engine 1s sh1fted by 200 rpmtoward"> the maximum wrque position. If the engine is mainwining a uniform speed of 2-t75 rpm :t la given load. the go\ ernor regulation is{A ) SA: ?f (0 7.77 ~ (D l 3.88 Clf

Q.67 A t.luuhlc actmg hvdraulil.: t:yhnder has J piston d1ameter of -+0 mm and the rod diameter equal toone half the p ~ t o n diameter. Fur a conMant p r c ~ s u r e of 4- MPa, the difference in load carrymgcapacity betv.een extension and relractton 1:.sumc lh.tt 1.0 !..g nr I,;IIW dung produce\o . u ~ m I of gas per day and thal the ,,u l!.. density nf wc l CO\\ dung is I 100 kg m-). H cqu::ll :Jmnmu nfwater on \'Oiume ba.., is is added to the dung for slurry p r e p a i ~ l w n and the retenlmn period is IJkenas 40 dJy..,, lhc diamclcr of the Jigester tank will be(A } 0.:!4 m (8 ) 1.08 m (C) 1.52 m

Common Data QuestionsConunon Data for Questions 7 1, 72 an d 73:A material consisting of :!0 rnm pa1tidcs is crushed wan nvcragc size of .5 mm and rC4uircs 18 U kg- 1energy for thts s1ze rt!tluctiun. If other condr t1nn!> :II c milar, the cnerg)' rcqu1red tid 1-.g-1) to cru...h lhematerial from 25 mm to J mm needs to be l-ilkulaietl .Q.7 J The energy requirement calculated usmg R1tunger 's lav. '"' 111 be

(A ) 61.53 (8 ) 15. 1() (C ) 16.43Q.72 The energy requirement calculated u11ing Kick' s 1:-.w will be

tA ) 72 .39 { 8 ) 5 ~ rC) 21.55 (D l 1-l-85Q.7J Tile energy reqUirement calc.:ulalt:d usmg Bond 's IJ \ \ ' wrll be

tA) 57 .J-+ (B ) 10.57 (CJ 15.79 d)J I I ::!5

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MAIN 1'1\Pt:.R-AGCommon Data ror u e s t i o n . . 74 and 75:A trac tor sprJyer boom is fined with 20 hollow co ne nouJ e, tn achieve an ap plu.:ation rate of :!00 L ha 1.During a ~ . : a l i b r a t i o n t e ~ l the nozzle lluw r,He v. found ru be 1.:!5 L min. whereas the rared nuulc tlowrate of O.-l7J L mtn- 1 was available J l ::!75 kPil.Q.74- If the noz.zlt: produces droplets wnh a volume mcdi:m diameter llf 20 0 micmn at J MPa, the droplet

SIZ.C in micron 3( lht! des ired now rate(A) 10U7 tB ) 160.9 1 tC) 2-+8.60 fD ) 594.89

Q.7 5 I f the forward speed uf the a c t o 7.5 (..m h 1, the l 1cld capaciry of the sprayer in ha h- 1tsLA) ~ J W (B) 7.00 7. 13 (D'I 7.50

Linked Answer Questions: Q.76 to Q.85 carry two marks each.Statement ror Linked Answer Quest ions 76 and 77:A sandy lnJm "oil h a s ' - ~ water holdtng capacny of 1-t.O mm m 1 depth between licld capacuy and \v iltingpoinl. r h ~ : an:a to be mtgatcd i::; 60 ha and the depth of effect1ve root zone i!> 0.30 m. The managcml!ntalluweJ m u t ~ l u r c depletion as .tO% and the c o n ~ u m p t use is 6 mm rcr day. The conveyance and


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200 MA IN PAPER- -\(j

Statemen t for Linked An.c;wer Questions 82 & 83:A food ma1erial havmg. iniliJI moiscun:: contem of 400 (dry weigh! is poured tn tn 10 mm htycrs ina tray of freeze cll)cr whiCh npcrates J t 40 Pa. It is Ill be dried lo 8 'l moisture (dry weaght b a ~ i s aLamaximum surface temperature uf 55 C. The dried food ha ' a l h e r m ; ~ c:onductivuy of 0.03 W m 1 K-1, Jdensityof-HO kg m-' . a pcrmcabiiHy ol 2.4 x 10 s 1 m 1. ..nd latent of sublimat ion nl 2.95 x JO I.JJ...g-1. l! is : : ~ - ; s u m e < l that 1he p r e ~ u at the icc fmnt remains n ~ t a at 78 Pa.Q.82 The lcmpemlu rc at the subltmat ion fro nt will be

(A) - 73.5 cc (B) - 35. 7 ( (C) -25.28 oc (0)-15.72 DCQ.83 The d rying time v.dl be

!A) 1.7 h (8 ) 2.3 h (C) 3.2 h ID j 7.1 h

Statement for Linked Answer Questions 84 and 85:A rear v.hec1 dnve r1 lractnr weighing :!0 kN has 40 percent of ils weight supported by the front wheels.The uactor is pulling a trailed plough with a forward o;peed ol 5 km h"1on tlat Jancl. The plough exerts adrawbar puU of 8.0 kN \Vi th the line ot pull making an angle nf 15'1 with the horiz.onta.l in the vemcal plune.The drawbar h11ch height is 500 mm.Q.8-l The coefficient of traction developed by the tractor for Ihis operation i:.

(A ) 0. 15 (RJ 0.49 tC) 0.50 rD) 0.56Q.85 I f the wheel slip i!. :!0 percent and the cocffictenl ur olling resistance I!. 0.0-1, the tractive crficiency

of the: tractor is(B ) 87.17 o/c. (C) 73.96 lJl

gate agricultural engineering 2008

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