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GATE Agricultural Engineering
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GATE Agricultural Engineering
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For an initial spore load equal to 25 spores per container inoculated with Clostridium botulinum having D121 = 0.25 min, the spoilage probability of the container subjected to F121 = 1.5 min is
10-5
10-8
10-6
10-9
In a disc clutch, the inside and outside radii of the clutch plate are 50 and 100 mm,respectively.
If the axial force exerted on the disc is 4 kN, the maximum pressure experienced by the clutch plate in N mm-2 under uniform wear conditions is
0.25
0.51
0.17
0.13
A two-wheel drive tractor pulls an implement that has a draft force of 11.5 kN. The total motion resistance of the tractor is 2.5 kN. Under these circumstances, the slip of the drive wheels is 20%. If the power loss in transmission is 20%, the percentage of power lost in converting engine power into drawbar power is _______________
12.7 to 12.8
24.3 to 24.4
47.4 to 47.5
45.5 to 45.6
The equation representing the heat of respiration (q) of fruits and vegetables as a function of temperature (θ) with positive constants a and b is
q = aebθ
q = a ln(bθ)
q = a + bθ
q = ae-bθ
Which one of the following statements is NOT appropriate regarding cone index
It is measured at a constant penetration rate of 30 mm/s
It is a composite parameter
It is dimensionless
It reflects strength of soil
A hemispherical vessel of 300 mm diameter is completely filled with oil andwater.
If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is
7.07
1.27
14.14
3.73
It is proposed to construct bench terraces on a 10% hillslope.
If the batter slope is ½ H : 1 V, the percentage area that will be lost for cultivation due to bench terracing is
6.78
5.47
6.25
4.68
Choose the most appropriate alternative from the options given below to complete the following sentence:Food prices ___ again this month
have arose
have been raising
have been rising
have raised
A centrifugal pump having an overall efficiency of 75% requires 6 kW power at 1450 rpm to deliver water against a suction head of 5 m and a delivery head of 12 m. If the pump runs at 1650 rpm and frictional head losses are negligible, the total head developed by the pump in metres will be
31.72
25.05
22.01
29.35
A tractor power take-off (PTO) driven stationary peg tooth type wheat thresher operating at a cylinder speed of 540 rpm requires a torque of 250 Nm atPTO.
The minimum net engine power required, in kW is
21
16
13
18
The inverse Laplace Transform of s2/(s -
3)3 can be written as e3t/2[At2 + Bt + C]. The values of A, B and C, respectively are
2, 10 and 12
9, 12 and 2
10, 12 and 4
3, 5 and 7
The Rational method is used to estimate
runoff volume
peak runoff rate
direct surface runoff
runoff depth
If |-2X + 9| = 3 then the possible value of |-X| - X2 would be
-30
42
30
-42
Eigenvalues of the matrix are
2i ± √3
±2i
2 ± i√3
2 ± √3
The flywheel of a hand operated chaff cutter with two cutting knives is rotated at 30 rpm and is connected to a worm gear assembly for driving the feedrollers.
The number of teeth of the worm gear is 24 and number of starts (threads) of the worm is 2. If diameter of each of the feed rollers is 15 cm, the chaff length in mm will be
19.6
9.8
12.8
39.2
Work index in size reduction can be obtained by multiplying Bond’s energy constant with
10
³√10
³√11
√10
A two wheel drive tractor, weighing 15.84 kN with a wheel base of 2160 mm, has the static weight divided between the front and rear axles in the ratio of 30 : 70 on a horizontal levelsurface.
The hitch point is at a height of 700 mm from the ground and at a horizontal distance of 120 mm to the rear side from the center of the rearaxle.
Pull acts at an angle of 12° downwards from thehorizontal.
The maximum pull in kN, when the front wheels would just start rising from the ground is
1.48
14.46
39.04
85.54
Pan evaporation data recorded at a certain location over a period of one week are 4.0, 4.3, 4.6, 4.9, 5.12, 5.18, and 6.21 mm. If irrigation scheduling based on ratio of irrigation water (IW) to cumulative pan evaporation
(CPE) is practiced, the depth of irrigation at an interval of a week for IW/CPE = 0.9 is
5.59
30.88
3.60
4.41
A pair of parallel glass panes, each of 3 mm thickness traps 2 mm layer of stagnantair.
Thermal conductivities of glass and air are 0.5 and 0.02 W m-1 K-1,respectively.
If the film heat transfer coefficient of air is 10 W m-2 K-2, then Biot Number is
0.06
1.50
0.04
1.00
The constituent of producer gas which occupies the highest percentage by volume and helps in increasing its overall calorific value is
CO2
CH4
H2
CO
The matrix is
symmetric
skew symmetric
Diagonal
triangular
A 100 ha watershed received rainfall at a rate of 5 cm h-1 for 2hours.
If the runoff generated by the storm was at the rate of 1 m3 s-1 for 10 hours, the runoff coefficient for the watershed would be
0.36
3.6 * 10-3
36
6.0 * 10-2
If ν is the kinematic viscosity of air – water vapour mixture and DAB is the mass diffusivity of water vapour in air then the ratio v/DAB is known as
Schmidt number
Sherwood number
Stanton number
Prandtl number
The power developed and the exhaust gas temperature of a diesel engine compared to a spark ignition engine of the same size and running at the same speed respectively, are
higher and lower
lower and lower
lower and higher
higher and higher
The integrating factor of the differential equation (x +
1)dy/dx - y = sin x is
1/x
1/(x + 1)
x
(x + 1)
A cold storage chamber is constructed with 10 mm mortar, 200 mm brick, 100 mm insulation and 5 mm wood-board having thermal conductivities of 0.8, 1.5, 0.025 and 0.2 W m-1 K-1,respectively.
The resistance of 4 K m-1 W-1 is offered by
mortar
brick
wood-board
insulation
Slope and intercept of the BET equation relating [aw/x
(1 - aw)] and aw, where aw is water activity and x is the moisture content on dry basis, are 18 and 2,respectively.
The values of thermodynamic constant C and BET monolayer moisture content xm(%) are respectively
40 and 20
30 and 15
10 and 5
20 and 10
A diesel engine running in dual fuel mode with diesel as pilot fuel and producer gas as primary fuel produces 3.5 kW at rated engine speed and is coupled directly to a generator for producingelectricity.
The amount of diesel and producer gas consumed per hour is 460 ml and 12.5 m3,respectively.
If generator efficiency is 90%, the maximum electricity produced, in kW is
3.15
2.85
3.00
3.50
Milk enters into the heating section of a high temperature short time (HTST) pasteurization plant at a temperature of 45ºC and leaves at 72ºC. Hot water at temperature of 95 ºC enters countercurrently into the heat exchanger and leaves at 77ºC. The effectiveness of the heat exchanger is
0.54
0.18
0.84
0.36
A 1 hp motor is used for running a dual cylinder reciprocating compressor of a refrigeration system based on R-134a refrigerant having 185 kJ kg-1 coolingcapacity.
COP of the system is 4.2 and overall efficiency of the compressor is 80%. Specific volume of the refrigerant vapour at suction temperature is 0.15 m3 kg-1. The compressor with bore diameters of 40 mm each runs at 1440 rpm The compressor stroke length in mm is
33.7
67.4
50.5
16.8
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