agril engg

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Dr. A.S. College of Agril. Engg., MPKV, Rahuri GATE 2006 Trial Examination AGRICULTURAL ENGINEERING Marks:150 Date: ------------------------------------------------------------------ Read the following instruction carefully 1. Write all answers in the answer book only 2. This question paper contains THREE SECTIONS ‘A’, ‘B’ and ‘C’. 3. All question are compulsory 4. There will be NEGATIVE marking system. For each wrong answers 25 % mark will be deducted in sec. A & B. 5. All questions should be answered by darkening the appropriate bubble using HB pencil against the question number on left hand side of the ORS. 6. In case, you wish to change an answer, erase the old answer completely using good soft eraser. SECTION – A 1 to 20 carry one mark each Q.1 The droplet diameters in micron observed from atomizer while testing are as follows: 70,340,260,210, 340.The sauter mean diameter of droplets is A) 304.16 μm B) 294.47 μm C) 276.58 μm D) 263.74 μm 2. The shaft power required for mechanical agitation is proportional to R 0.582 , S 3.41 & L where R is the ratio of combined width of peddles to tank of length L & S is the peripheral speed of the of peddles. The peripheral speed of peddles required for round bottom tank is 1.22 times that

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Page 1: Agril Engg

Dr. A.S. College of Agril. Engg., MPKV, Rahuri GATE 2006 Trial Examination

AGRICULTURAL ENGINEERING Marks:150 Date:

------------------------------------------------------------------ Read the following instruction carefully

1. Write all answers in the answer book only 2. This question paper contains THREE SECTIONS ‘A’,

‘B’ and ‘C’. 3. All question are compulsory 4. There will be NEGATIVE marking system. For

each wrong answers 25 % mark will be deducted in sec. A & B.

5. All questions should be answered by darkening the appropriate bubble using HB pencil against the question number on left hand side of the ORS.

6. In case, you wish to change an answer, erase the old answer completely using good soft eraser.

SECTION – A 1 to 20 carry one mark each Q.1 The droplet diameters in micron observed from atomizer while testing are as follows: 70,340,260,210, 340.The sauter mean diameter of droplets is A) 304.16 μm B) 294.47 μm

C) 276.58 μm D) 263.74 μm 2. The shaft power required for mechanical agitation is proportional to R 0.582, S3.41& L where R is the ratio of combined width of peddles to tank of length L & S is the peripheral speed of the of peddles. The peripheral speed of peddles required for round bottom tank is 1.22 times that

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for flat bottom tank .The ratio of power required for round bottom tank to that for flat bottom tank of same dimensions will be

A) 0.5 B) 1 C) 1.22 D) 2

3.A 8 row transplanter is to transplant strawberry plants at a spacing 0.2 m within the row and with 0.8 m row spacing. If feeding mechanism can deliver up 1200 seedlings / min. The maximum allowable travel speed of transplanter is

A) 0.5 kmph B) 1.8 kmph C) 2 kmph

D) 7.2 kmph Q.4 The high idle speed of an engine is 2862 rpm the rated

speed is 2600 rpm and the peak torque occurs at 1550 rpm. Calculate governor regulation

a) 9.59 % b) 59.47 % c) 50.6 % d) 12.62 % Q.5 Power transmitted by belt is 0.5 KW which rotates on pulley of radius 0.5 M. The tension on tight side is 20 N and on slack side is 5 N. The speed of pulley is- a) 637.00 rev/hr b) 1237.00 rev/hr c) 76394.37 rev/hr d) 38197.2 rev/hr 6. The vibration acceleration level of tractor at 0.25 dBA,

VAL in terms of root mean square value is A) 1.01 m/s2 B) 1.03 m/s2 C) 2.23 m/s2 D) 3.16 m/s2

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7. If the turning angles subtended by inner front wheel of 4-0 wheel drive tractor is 45°. The kingpins of axle are 140 cm apart and wheel base of tractor is 195 cm. The angle subtended by outer wheel to avoid skidding of front wheels is

E) 22.7° F) 30.2° G) 59.8° H) 67.3°

Q.8 Time required to irrigate a check basin of 20 m long 15 m wide to a depth of 5 cm with a stream of 15 liters per second. a) 1.0 min b) 16.67 min c) 1000 min d) 100 min Q.9 Statement A) When diameter of well is doubled discharge of the well increases by 10 percent. Statement B) In order to obtain higher yield from

wells, depth should be increased instead of diameter. a) A is true and B is false. b) Both A and B are false. c) Both A & B are true. d) B is true and A is false.

Q.10 The pressure outside drop of diameter 0.04 mm is 774 mm of Hg. The surface tension is 7.25 N/ cm of water. The pressure within droplet is

A) 1.105 bar B) 0.725 bar C) 0.0725 bar D) 11.05 bar

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Q.11 A dug out pond has 750 m2 area at top, 450 m2 area at mid depth and 216 m2 area at bottom. Bottom width is 36 m with side slope 2:1. Volume excavated is

a) 5544 m3 b) 1385 m3

c) 1386 m3 d) 5545 m3

Q.12 In falling head permeameter test, the initial head is 40 cm. The head drops by 5 cm in 10 minutes. The time required to run the test for the final head to be at 20 cm

a) 51.9 minute b) 9.99 minute c) 3.33 minute d) 155.78 minute Q.13 The threshold salinity of a soil is 2 ds / m and

decreases in alfalfa crop yield is 7.3 per cent per unit increase in salinity. If the average soil salinity is

5.4 ds / m, the relative crop yield will be a) 70 % b) 75 % c) 80 % d) 85 % Q.14 Power required to operate electric motor is 5 KW. If

pump efficiency and motor efficiency both are 80 % and the pump is used to lift water against a head of 50m, pumping capacity of the pump is (Assume motor is of mono block type)

a) 6.52 rpm b) 391.43 rpm c) 313.14 rpm d) 64 rpm Q.15 Sigma value is given by –

a) ε = qc / vt b) ε = qc / vt2 c) ε = qc / 2 vt d) ε = qc / (vt2 / gr)

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16. If Δ xi is mass fraction of ground particle sretained on a sieve ‘i’ having diameter (di1 then the average diameter ‘D’ of ground particles expressed by equation D = 1 1 /3

----------- n Σ Δ xi

i=1 ------ di

3 for n number of sieves is known as,

a) Volume mean diameter b) Sauter mean diameter c) Mass mean diameter d) Arithmatic mean diameter

Q.17 In a parallel flow heat exchanger if hot fluid enters at 800C and leaves at 500C. Cold fluid enters at 400 and leaves at 700 find out number of transfer unit

a) 1 b) 2 c) 3 d) Zero Q.18 If one of faces of slab is maintained at 400C and other

at temperature 200C. Find out temperature at a distance of 20 cm from the face which is maintained at 400 .Thickness of slab is 30 cm

a) 30:60 C b) 26.60C c) 400C d) 33.330C Q.19 During falling rate period the rate of drying is proportional to difference between. a) Initial m.c. & critical m.c. b) critical m.c. & equillibrium m.c. c) Initial m.c. & equillibrium m.c. d) moisture content below critical & equillibrium m.c.

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Q.20 40 kg syrup contains 20 wt % sucrose sodium benzoate is added into the syrup such that it’s concentration in the resultant syrup is 8 wt % the amount of sodium-benzoate added to syrup is

a) 1.24 kg b) 3.5 kg c) 4 kg d) 3.2 kg SECTION – B (Carries 2 marks each from Q. 21 – Q. 75) 21. A single plate friction clutch with both side effective is to transmit 15 KW at 2000 rpm. The axial pressure is limited to 1 bar if the outer diameter of friction lining is 1.5 times the inner diameter. The required outer diameter of the friction lining assuming uniform wear conditions and taking coeff. of friction 0.3 is

A) 12.428 cm B) 13.447 cm C) 18.643 cm D) 20.171 cm

22. The tractor with turning radius 5200 mm and with wheel base 3450 mm. The rear tread width is 1253 mm and front tread width is 1130 mm. The centre of gravity of tractor is located at 658 mm at rear axle of tractor and 988 mm above the ground the critical speed at which tractor will overturn is

A) 5.12 m/s B) 5.69 m/s C) 18.43 m/s D) 20.47 m/s

23. In an open loop hydrostatic transmission, a pump running at 160 rpm is used to supply fluid to drive a motor. The motor displacement 0.6 x 10-3 m3 /rev. and is to run at

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65 rev/min. The pressure drip across the motor is 130 bar and pressure drop between the pump and the motor is 5 bar. The torque and volumetric efficiencies of both the pump and the motor are 95 % and 90 % respectively. The torque required at the actuator is

A) 969.69 N-m B) 1077.73 N-m C) 1179.33 N-m D) 1134.45 N-m

24. A tractor weighing 14.5 KN and wheel base 140 cm is moving up the slop 1: 20 (Vertical : Horizontal), without load at a speed of 30 kmph. The C.G. of tractor is located 20 cm ahead of rear axle and 75 cm above ground level. If the coeff. of friction between the ground and tyre is 0.4. The distance traveled by tractor after application of both rear and front brakes is

A) 7.87 m B) 8.66 m C) 8.85 m D) 9.73 m

25. A planter has vertical rotor metering device with no seed ejector. The unit is operated without a seedtube, the seeds being released at lowest point of travel and falling freely by gravity to furrow bottom 90 mm bellow. The peripheral speed of rotor is 20 m/min and ground speed is 4 kmph. The angle from vertical at which seed strike furrow bottom when rotor turns in same direction of ground wheel is

A) 49.61° B) 80.53° C) 59.03° D) 65.22°

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26. A manufacture of pressure nozzles specifies that for an orifice diameter of 0.787 mm, a volume median diameter of 135 μm is obtained at 345 kPa using water when the rated output is 0.473 lit per min . The same nozzle is to be used for a chemical whose surface tension is 50 m-N/m. The surface tension of water is 73 dyne/cm. The volume median diameter droplet size of chemical if nozzle is operated at 525 kPa is

A) 31.25 μm B) 66.62 μm C) 97.15 μm D) 117.39 μm

27. A right hand offset disc harrow is operating with disc angle of 15° and 27° respectively for front and rear gangs. The centres of two gangs are 2.45 m and 4.25 m behind transverse line through hitch point on tractor drawbar. The horizontal soil force components are 3.1 KN and 3.35 KN along the direction of travel and 3.8 KN & 3.8 kN along line at right angles to direction of travel for front and rear gangs respectively. The offset distance is

A) 1.06 m B) 1.44 m C) 2.12 m D) 2.5 m

28. A series of soil shearing tests are made with a plate where l = b = 100 mm. As a result of these tests F1= 105 N at W1 = 200 N & F2= 265 N at W2= 600 N, where F is tractive effort & W is weight .The tractive effort at 400N weight will be A)160.025 B)162.5 N C)185 D)402.5 N

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29. A forage harvester has eight knives on the cutter head ,which rotates at 900 rpm .The depth of forage at initial contact of knife is 15 mm .The maximum cutting force is 8 kN .The ratio of average cutting force to maximum cutting force is 0.64 . The power required for cutting is

A) 28.8 kW B) 18.432 kW C) 14.4 kW D) 9.216 kW

Q.30 The engine is a four cycle engine with a displacement

of 15.649 L. While running at 2100 rev / min, It produces 1341 N-m of torque. The imep is 1267 Kpa. Calculate the indicated, brake and friction power.

a) 347 KW, 395 hp, 52 KW b) 347 KW, 395 hp, 44 hp c) 463 hp, 295 KW, 52 hp d) 463 hp, 395 hp, 52 hp

Q.31 A four wheel tractor is traveling across a ground slope. If the rear wheel tread is 1900 mm and height of center of gravity of tractor is 750 mm above ground level the critical angle of slope to prevent sideways overturning is-

a) 21.00 degree b) 28.20 degree c) 43.03 degree d) 68.96 degree

Q.32 A wind mill is established in a area of average speed of 10 m/s. having coefficient of performance 0.59 Radius of wind rotor is 5 m with torque coefficient 0.88. If wind mills are established at elevation 5000 m from sea level the tip speed ratio is

a) 19.26 b) 0.50

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c) 0.118 d) 0.67 Q.33 If an engine has peak torque of 590 Nm and high idle

torque of 560 Nm. If the engine has torque of 480 Nm at the governors maximum. The torque reserve is

a) 110Nm b) 80 Nm c) 30 Nm d) 505.71 Nm Q. 34 A four cylinder, four stroke diesel tractor engine

has a cylinder bore of 90 mm and piston stroke of 100 mm. The engine develop 43.5 kw at 2300 rpm . when coupled to dynamometer. At the same speed and with the fuel shut off, the tractor engine req. 7.5 kw to motor it. During the test when 43.5 kw was developed the engine used 15.5 l/h of diesel fuel that contained heat energy of 45 MJ/ kg with density. 835 kg/l. Engine thermal efficiency is

a) 31.52 % b) 50.02% c) 90.69% d) 76.42% 35. A 2 bottom, 30 cm MB plough is operated in a field of 40 m long and 25 m wide. The speed of operation is 5 kmph. During operation there is overlap of 4 cm. The turning loss was found to be 5 sec per turn. Time lost per hectare in adjustment and repairs is 70 min per ha. Field efficiency of operation is

E) 69.4 % F) 62.28 % G) 67.47 % H) 69.9 %

Q.36 Sprinklers are spaced 15 m apart on 200 m long line distance between two lines is 20 m. The application

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rate is 1.25 cm / hr. considering discharge coefficient of sprinkler as 0.98 diameter of the sprinkler nozzle is (assume pressure required to operate the pump is 10 kg / cm2)

a) 17 mm b) 5.50 mm c) 17.5 mm d) 5 mm Q.37 For an irrigated area the depth to the center of the

drain is 1.8 m and minimum depth to the water table 1.5 m subsurface explorations indicate a hydraulic conductivity of 0.5 m / day above an impervious layer at a depth of 6.7 m. The excess irrigation rate is equivalent to drainage coefficient of 1.2 mm / day. The drain spacing is

a) 50 m b) 71 m c) 65 m d) 25 m Q.38 Determine the capacity of 610 mm diameter culvert of 30 m in length, Ke=0.25, KC=0.049, S=0.032 head water is 2.13 m above inlet invert and tail water is 0.8 m above outlet invert. Assume full flow condition a) 1.187 m3/s b) 1.334 m3/s c) 1.483 m3/s d) 1.348 m3/s Q.39 Approx. Time required to settle soil particle of

diameter 4 μm. from height of 100 mm is Take G = 2.88 and viscosity water = 0.00855 x 10-4 KNS / m2

a) 1 Hr 36 min 43 sec. b) 5802 min c) 1 Hr. 26 min 55 sec d) 1.72 Hr.

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Q.40 A soil loss was at particular place 18 mg / ha for K = 0.1, L=150 m, S = 8% , C=0.2, P=0.6 what is depth of vertical cut needed to reduce soil loss to 7 mg / ha.

a) 1.7 m b) 3.35 m c) 1.67 m d) 3.4 m Q.41 The water discharge over rectangular weir without

velocity of approach is 0.345 m3/s. The channel is 0.77 m wide with reading of 0.39 m and crest of 0.6 m above bed. Discharge considering velocity of approach over suppressed weir is

Take(Cd =0.623) a) 413.1 lps b) 376.4 lps c) 357.3 lps d) 437.8 lps Q.42 In a 140 min storm having following rates of rainfall

were observed in succesive 20 min intervals 3.0, 3.0, 9.0, 6.6, 1.2, 1.2, 6.0 mm/hr Assuming φ index as 4 mm/hr, initial loses 0.8 mm, Determine W-index of storm

A) 6.8 mm/hr B) 6 mm/hr C) 5.00 mm/hr D) 5.8 mm/hr

Q.43 A cube of dried clay having sides 4 cm long has a mass of 110 gm. The same cube of soil when saturated at unchanged volume has mass of 135 gm.

Determine it’s specific gravity a) 1.82 b) 2.28 c) 2.82 d) 2.77 Q.44 A homogeneous earth dam 50 m. high and having free

board at 3 m flow net has 30 and 5 no. of potential

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drops and flow channels. It has 45 m. horizontal filter length with coefficient of permeability 3 x 10-3 cm / s It’s discharge per unit length is

a) 2 x 10-4 cumec / m b) 8.46 x 10-4 cumec/ m c) 2.35 x 10-4 cumec / m d) 1.8 x 10-4 cumec / m Q.45 Seepage from a canal is 12 % of the water applied and

deep percolation from irrigation is 25 % Assume an irrigation depth of 75 mm for every 8 days ,flow rate from 3 ha area will be

a) 1.2 m3/s b) 72.76 l / min c) 3.4 m3/s d) 3.61 l / min Q.46 A reactangular channel 2 m wide has a discharge of

250 lps, which is measured by a right angled V-notch weir. Find the position of the apex of the notch from the bed of the channel if maximum depth of water is not to exceed 1.3 m. take Cd = 0.62

a) 1.3 m b) 0.493 m c) 0.807 m d) 2.1 m Q.47 Pump having a discharge of 38 lps at a water

temperature of 200C. The total friction loss in 10 cm diameter suction line and fitting is 1.5 m. the pump is operated at altitude of 300 m above mean sea level. The NPSH of pump is 4.7 m saturated vapour pressure at 200C is 0.24 m and factor of safety to 0.6 m Considering delivery head as 5 m and pump efficiency 80% input power to drive the pump will be

a) 4 KW b) 2.54 KW c) 4.5 KW d) 7 KW Q.48 For an irrigated area the depth to the center of the

drain is 1.8 m and minimum depth to the water table 1.5 m subsurface explorations indicate a hydraulic

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conductivity of 0.5 m / day above an impervious layer at a depth of 6.7 m. The excess irrigation rate is equivalent to drainage coefficient of 1.2 mm / day. The drain spacing is

a) 50 m b) 71 m c) 65 m d) 25 m Q.49 In a rectangular channel, the maximum discharge is 9

m3 / s per unit width of channel. The velocity of flow is A) 2.87 m /s B)5.31 m / s C)2.02 m / s D) 4.45 m / s

Q.50 A peak of a flood hydrograph due to 6 h strom is 470 m3/s. The mean depth of rainfall is 8.0 cm. Assuming an average infiltration loss of 0.25 cm / h and a constant bare flow of 30 m3 / s, estimate the peak discharge of the 6-h unit hydrograph for this catchment.

a) 67.69 m3 / s b) 70 m3/s c) 65.59 m3/s d) 60 m3/s Q.51 A steel ball of radius 25.4 mm is at a uniform temperature of 699.90K. It is suddenly plunged into a medium whose temperature is held constant at 394.30 K Given h = 11.36 w / m2K, K=43.3 w/m.k, CP=0.4606 KJ/kg K find out temperature of ball after 1 hr. a) 474.90C b) 474.90 K c) 4800C d) 4800 K Q.52 If the capacity of bucket elevator is 280 t / hr. The

spacing between buckets is 500 mm. The bulk unit weight of material is 600 kg / m3. The speed of belt is 5 m/s. The buckets is changed 750 mm, the speed of elevator for 300 t / hr capacity will be

a) 3.75 m/s b) 4.05 m/s

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c) 7.5 m/s d) 8.00 m/s Q.53 A drop of liquid toluene is kept at a uniform

temperature of 25.90C and is suspended in air by a fire wire. The initial radius r1 = 2 mm. The vapour pressure of toluene at 25.90C is PA=3.84 Kpa and of toluene = 866 kg / m3 find time in second for complete evaporation. Take DAB= 6.92 x 10-6 m/ sec. Mto=92 gm A)1920 sec. B) 1380 sec

C)1924 sec D) 1376 sec. Q.54 1000 kg / hr of dried potato dehydrated in a dryer

from 80 % (Wb) moisture content to a final product of X % M.C. Air with humidity 0.015 kg water / kg dry air enters the dryer at a rate of 500 kg dry air / kg dry solid. The air leaving the dryer has a moisture content of 0.0225 kg water / kg dry air find value of x

a) 22 % b) 25 % c) 20 % d) 40 % Q.55 Center temperature of a can containing a semi solid

food could be raised from 800C to 900C in 5 min and from 800C to 1000C in 7 min. Initial temperature of food was 800C and it was heated in a retart at 1250C. Time required for the center of can to be heated to 1200C from 800C.is

a) 17.85 min b) 11.32 min c) 15.3 min d) 13.72 min Q.56 Wheat weighing 900 kg / m3 is loaded in a circular

concrete silo of 3 m internal diameter and clear height 8 m. The angle of internal friction of wheat is 270 and that for friction between wheat 8 concrete is 240. The maximum lateral pressure at bottom of bin section using Airy formula is

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a) 3.96 kPa b) 4.02 kPa c) 38.84 kPa d) 39.44 kPa Q.57 Peas of diameter 5 mm and density 1160 kg / m3

are to be dried using air at 93.30C and 3 atm. pressure. The void fraction of minimum fluidized conditionis 0.63. The bed diameter is 0.2 m and bed containg 10 kg solids. The minimum height of fluidization is

a) 0.274 m b) 0.102 m c) 0.435 m d) 0.742 m Q.58 The power consumed in crushing 80 % of feed at

rate of 10 t / hr from 10 mm to 2.5 mm was 20 KW the work index is

a) 6.32 KWh / t b) 20 KWh / t c) 632 KW / t d) 200 KWh / t Q.59 From a dryer air (1) is exhausted at 600C (wbt =

520C). A part of it is mixed with ambient air (2) at 250C abs. temp (200 wbt) V2 = 0.862 m3 / kg V1 = 1.08 m3/ kg. Temp of mixed stream will be Assume 2 m3 / s of ambient is mixed with 1 m3 / s of exhaust

a) 50.020C b) 29.130C c) 320C d) 350C Q.60 Fruit juice having a specific heat of 3.85 kJ / kg 0K

is being preheated from 50C to 450C in a counter flow double pipe heat exchanger. Heating agent is hot water entering at 750C and leaving at 650C. the flow rate of fruit juice is 1.5 kg / sec and the area of heat exchanger is 10 m2.

Calculate the overall heat transfer coefficient – a) 5.3373 W / m2K b) 53.373 W / m2K c) 533.73 W / m2K d) 5337.3 W / m2K

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Q.61 A thin walled pipe of stainless steel (18 % Cr. 8 % Ni Kp = 19 W / m0 K) with 2 cm ID and 4 cm OD is covered with a 3 cm layer of asbestos insulation (Ka = 0.2 W / m0K). If inside wall temp of pipe is maintained at 1200C and the outside insulation at 900C. Calculate the heat loss per meter pipe length ?

a) 30.82 watts / m b) 35.82 watts / m c) 40.82 watts / m d) 45.82 watts / m Q.62 A manufacturer of canned corn desires to reduce the sterilization time by raising the corn temperature to 135 C. Previously, the cans of corn had been processed at a corn temperature of 121C. Assume F0 = 2.5 minutes and z = 10 C. F135 is A) 2.5 min B) 1.002 min C) 0.367 min D) 0.10 min Q.63 Twenty kilograms of strawberries at 22 C are to be frozen to –24C.the freezing temp of strawberry is -0.8 C Cp = 3.89, Cpa= 1.94, and hsf = 307. where: Cp,Cpa = specific heat values above and below freezing, respectively, kJ/(kg K) , hsf = the latent heat of fusion, kJ/kg .The amount of energy must be removed from the strawberries is A)8814 kJ B)8782 kJ C)6951 kJ D)5328 kJ Q.64 Calculate sp. volume and abs humidity of air at

500C and 15 % R.H. at atm pressure saturation V.P. of water at 500C is 12.35 Kpa.

a) 2.915x10-3 m3/kg dry air K & 0.012 kgW/kgDA b) 12.912x10-3m3/kgdry air K & 0.0116 kgW/kgDA c) 2.915 x 10-3 m3/kg dry air K & 0.0116 kgW/kgDA d) 941.9 x 10-3 m3/kg dry air K & 0.0116 kgW/kgDA

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Q.65 1000 kg of a wheat with 15 % (db) was mixed with another lot of 1000 kg wheat having moisture content 15 % (wb). The mixed lot was dried to a moisture content 12 % (db). The weight of lot is a) 2000 kg b) 1931.81 kg c) 1925.92 kg d) 1871.66 kg

SECTION ‘C’

The question numbers 66 (a) to 75 (b) (20 que.) will carry two markers each. Each number in this series will have two subsections (a & b). The answer at ‘b’ will be linked with correct answer of part (a). Only ‘a’ subsection carries 25 % negative marks for each wrong answer. The marks for correct answer in ‘b’ subsection are only given if answer of part ‘a’ is correct 66. A rotary mower has three blades with radius 300 mm & it rotates at 1900 rpm. The forward velocity of the mower is 4 % of the peripheral blade speed. A)The advance per blade passage is

A) 2.388 cm B) 2.513 cm C) 7.540 cm D) 238.8 cm

B) The minimum taper in degrees at the end of the blade to prevent the crop drag against the end of the blade is

A) 2.29 B) 6.87 C) 7.26 D) 21.8

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67. A 2 WD tractor is equipped with a conventional differential. The differential has a crown gear with 39 teeth , driven by bevel pinion with 8 teeth .Each side gear is connected to rear axle through a planetary gear set that provides 4.94:1 speed reduction .The input torque to bevel pinion is 1500 N m at pinion speed of 525 rpm .Take the differential efficiency as 0.98.

a) If the left wheel encounters poorer traction such that

the left axle torque drops 10% of its value under straight ahead condition & left wheel begins to turning 50% faster than right wheel ,The torque of right wheel is

A) 19.47 kN B) 17.70 kN C) 16.25 kN D) 15.93 kN

b) The power delivered to right wheel in above condition is A) 32.32 kW B) 32.98 kW C) 35.92 kW D) 39.51 kW

68. A 2 WD tractor is to operate on a slope with thrust slip characteristic given by F=34(1-e-0.06s) where F is thrust in kN & s is slip in % .The tractor engine is running at 2000 rpm where torque developed is 746 Nm The total motion resistance is 2.23 kN The transmission efficiency is 85% & rolling radius of rear tyres is 0.76m.The tractor is engaged in fourth gear with total reduction ratio of 20.5.

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a) The actual travel speed of the tractor is

A) 11.65 m/s B) 7.76 m/s C) 6.86 m/s D) 6.68 m/s

b) The drawbar power of tractor is A) 156.24 kW B) 132.81 kW C) 117.33 kW D) 102.03 kW

69. A turbocharger is being installed on a diesel engine. The air temperature is 200C and absolute temperature of air in the intake main fold is 1040C compressor efficiency is 70 % A) Calculate boost provided (Assuming barrometric

pressure 100 kpa) a) 90 kpa b) 19 kpa c) 190 kpa d) 100 kpa

B) Calculate volumetric efficiency of turbocharged engine

a) 48 % b) 148% c) 67.72 % d) 167.72 % Q.70 A bench terrace is proposed to be constructed with

average soil depth of 1 m for 20 % land slope. Critical length of terrace is 125 m cross sectional area of drains 0.256 m2.Risers are laid on 1:1 gradiant a) Length per hector of terrace is

a) 1200 m b) 1000 m c) 1250 m d) 2000 m

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b) Earthwork for drain – a) 1.024 m3 b) 10.24 m3

c) 11.5 m3 d) 13.66 m3

Q.71 The effective root zone of a crop is 120 cm and

evaporation during month of September is 270 mm. The field capacity and critical moisture content on volume basis are 16 % and 6 % respectively. Apparent specific gravity is 15. a) Assuming field application efficiency 80% gross

depth of water required for crop will be a) 12 cm b) 18 cm c) 15 cm d) 22.5 cm

b) Considering effective rainfall of month September as 30 mm. The irrigation interval will be a) 5 days b) 14 days

c) 15 days d) 23 days Q.72 1) Total watershed area = 50 ha

2) CN for terrace land = 78 in 35 ha 3) CN for pasture land = 74 in 15 ha 4) Hydrologic soil group = C 5) Time of concentration of watershed = 0.48 hrs 6) 6 hr 50 year frequency rainfall for given location =

150 mm 7) N conversion factor for AMC III = 1.14

a) Recharge capacity for AMC III is A) 76.8 mm B) 79.33 mm C) 87.552 mm D) 32.84 mm

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b) The runoff from 50 ha area for 50 yr recurrence interval is A) 85.73 mm B) 116.71 mm C) 84.28 mm D) 113.54mm

Q.73 A heat exchanger is to be designed to condense an organic vapour at a rate of 500 kg / min which is available at it’s saturation temperature 355 K cooling water at 286 K is available at a flow rate of 60 Kg /s U = 475 W / m2 0C. Latent heat of condensation of the

organic vapour is 600 KJ / kg calculate A) The number of tubes required if 25 mm outer

diameter 2 mm thick and 4.87 m long tubes are available

a) 410 b) 420 c) 470 d) 480

B)The number of tube posses if the cooling water velocity (tube side) should not exceed 2 m / s

a) 4 b) 5 c) 3 d) 2

Q.74 A Roller crusher is used to crush feed of 40 mm to 12

mm. The angle of nip of crusher is 400 the centre to centre distance between two rolls is 450 mm. The length of roll is 1 m operating at 40 RPM A) The diameter of feed roll is

a) 79.68 mm b) 159.36 mm c) 424.29 mm d) 212.14 mm

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B) Capacity of roller crusher is a) 41.12 m3/hr. b) 82.24 m3/hr c) 123.36 m3/hr d) 164.48 m3/hr

Q.75 A liquid food having 80 % M.C. and 1030 kg/m3 density

is to be concentrated 80 % total solids in a single drum dryer of 0.6 m diameter and 0.75 m width. The material is scrapped after 7 by 8 revolutions and layer of food was 1 mm given U– 1250 W/m2 K and latent heat of vaporization is 2 to 50 KJ/kg Feed is preheated to 900C and operating temperature is 1500C Time required to concentrate the food is

a) 0.386 min. b) 11.71 sec c) 35 sec d) 123.17 sec

A) Required speed of drum a) 2.5 RPM b) 2.3 RPM

c) 2.6 RPM d) 2.9 RPM END OF QUESTION PAPER

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