A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip is
1.0.85
2. 1.97
3.3.53
4.6.05
A single effect vacuum evaporator has 100 tubes of 25 mm diameter. One thousand kg feed of milk per hour with 15% TS is concentrated to 20% TS in the evaporator. Film heat transfer coefficients on either sides of the tube are 5000 and 800 W m2 K-1. Thermal conductivity of 1.5 mm thick SS tubes is 15 W m-1 K-1. Latent heat of vapourization under vacuum is 2309 kJ kg-1. For 100C temperature difference across the tube wall, the height of each tube, in m is
1.1.36
2.2.13
3. 2.56
4.3.17
A single effect vacuum evaporator has 100 tubes of 25 mm diameter. One thousand kg feed of milk per hour with 15% TS is concentrated to 20% TS in the evaporator. Film heat transfer coefficients on either sides of the tube are 5000 and 800 W m2 K-1. Thermal conductivity of 1.5 mm thick SS tubes is 15 W m-1 K-1. Latent heat of vapourization under vacuum is 2309 kJ kg-1. For 100C temperature difference across the tube wall, the height of each tube, in m is
1.1.36
2.2.13
3. 2.56
4.3.17
A slider is moving on a straight link at a sliding velocity of 0.5 m s-1. The straight link is pivoted at one end and makes angular movement at a rate of 1.0 rad s-1 Coriolis acceleration of the slider in m s-1 is
1.0.25
2.0.50
3.1.00
4.4.00
A tall silo having height to diameter ratio of 2 is holding 480 tons wheat of bulk density 960 kg m-3. The angle of internal friction for wheat is 250 and for wheat and wall surface is 240. Applying Airy formula, the maximum lateral pressure in kPa at the bottom of the bin section is
1.40.24
2.41.79
3.42.83
4.42.92
A trapezoidal canal, having a bottom width of 5.0 m and a side slope of 1 H : 1 V, is carrying a discharge of 20 m3 s-1. The critical depth, in m, is
1.1.09
2.1.18
3.2.12
4.2.62
Choose the most appropriate alternative from the options given below to complete the following sentence: Food prices ___ again this month.
1.have raised
2.have been raising
3. have been rising
4.have arose
If f'(x) = ex and f(0) = 5, then from Mean Value Theorem, the value of f(1) lies between
1.2 and (2 + e)
2. 3 and (2 + e)
3.3 and (3 + e)
4.6 and (5 + e)
It is proposed to construct bench terraces on a 10% hill slope. If the batter slope is ½ H : 1 V, the percentage area that will be lost for cultivation due to bench terracing is
1.4.68
2.5.47
3.6.25
4. 6.78
One thousand units of mixed fruit bar, each weighing 100 g with a surface area of 0.01 m2, are frozen from 700C molten mass condition to -200C frozen storage condition within 3 hours. The specific heat capacity values of the bar are 3.6 kJ kg-1 K-1 and 1.97 kJ kg-1 K-1 before and after freezing point (0 °C) respectively. If the latent heat of crystallization is 250 kJ kg-1, the cooling capacity of the refrigeration unit required in tons of refrigeration is
1.0.77
2.1.43
3.1.66
4. 4.32
Soybean is to be planted with a precision planter that meters 54 seeds per revolution of the metering disc powered from a ground wheel of diameter 490 mm. The desired plant population is 44800 per ha with a row to row spacing of 0.75 m. The germination percentage is 84. The planter is to be operated at 2.5 km h-1 with a 10% skid of ground wheel. The angular speed of ground wheel in rpm is
1.20.3
2.24.6
3.28.3
4.32.6
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
1. higher and lower
2.higher and higher
3.lower and higher
4.lower and lower
The soil erodibility factor needs to be determined for use in the universal soil loss equation. The length, in m and slope, in % of the experimental plot to be used for this purpose, respectively are
1. 19, 12
2.21, 11
3. 22, 9
4.23, 8
The tangent line to y = f(x) at the point (x0, y0), assuming f'(x) ≠0, intersects the x axis at
1.(x0 - [y0/f'(x0)], 0)
2.(x0 + [y0/f'(x0)], 0)
3.(x0 - [f'(x0)/y0], 0)
4.(x0 + [f'(x0)/y0], 0)
Tomato catsup with 10 Pa sn Paconsistency coefficient and 0.8 flow behaviour index is flowing in a pipe. Generalized coefficient of viscosity of catsup, in Pa sn is
1.2.66
2. 6.93
3.15.91
4.23.87
Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p “ q) is
1.-3
2.0
3.3
4.4
Work index in size reduction can be obtained by multiplying Bond's energy constant with
1.10
2. √10
3.³√10
4.³√11
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 cooling capacity. 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
1. 16.8
2. 33.7
3.50.5
4.67.4
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 cooling capacity. 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 mass flow rate of the refrigerant in kg min-1 is
1.1.634
2.1.090
3.0.813
4.0.240
A 200 mm well fully penetrates a confined aquifer. After a long period of pumping at a rate of 1400 litres per minute, the drawdowns in the observation wells located at 25 m and 40 m from the pumping well are found to be 2.6 m and 1.9 m, respectively. The transmissivity of the aquifer in m2 day-1 is
1. 190
2.198
3.206
4.215
A border strip of 8 × 250 m is being irrigated by a border stream of 50 lps. The infiltration capacity of the soil is 25 mm h-1 (assumed to be constant throughout the period of irrigation). The average depth of the advancing sheet of water over the land is 70 mm. The time required to irrigate the border strip, in minutes, will be
1.16.7
2.25.7
3.54.7
4.67.7
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 producing electricity. The amount of diesel and producer gas consumed per hour is 460 ml and 12.5 m3, respectively. Assuming calorific value of diesel and producer gas as 35280 and 3.97 MJ m-3, respectively, the brake thermal efficiency of the engine in percentage is
1.17.19
2.19.13
3. 22.79
4.25.32
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 producing electricity. 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
1.2.85
2.3.00
3.3.15
4.3.50
A packed bed of 480 kg solid particles having particle size of 0.15 mm and density of 800 kg m-3 is fluidized using air at 250C and 1 atmospheric pressure. If the cross section of the empty bed is 0.45 m2 and voidage at minimum fluidizing condition is 0.5, then the minimum height of the fluidized bed, in m is
1.7.4
2.5.4
3.2.7
4.1.0
A pair of parallel glass panes, each of 3 mm thickness traps 2 mm layer of stagnant air. 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
1.1.50
2.1.00
3.0.06
4.0.04
A pumping device that combines the advantages of both centrifugal and reciprocating pumps is known as
1.air lift pump
2. hydraulic ram
3.jet pump
4.rotary pump
A regime channel carrying a discharge of 25 m3 s-1 is designed using Lacey's regime theory. The side slope of the channel is ½ H : 1 V, and Lacey's silt factor is unity. The bottom width and depth of flow in the channel, in m, respectively are
1.20.26, 1.38
2. 20.26, 1.56
3.23.75, 1.56
4.32.78, 1.56
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 at PTO. The minimum net engine power required, in kW is
1.13
2.16
3.18
4.21
A trapezoidal grassed waterway is constructed along a longitudinal gradient of 4%. If the cross-sectional area of flow is 1.52 m2, wetted perimeter is 12.5 m and Manning's n for the waterway is 0.04 m-1/3 s, the flow through the waterway in m3 s-1 is
1.1.9
2.2.1
3.2.3
4.2.5
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 level surface. 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 rear axle. Pull acts at an angle of 12° downwards from the horizontal. The maximum pull in kN, when the front wheels would just start rising from the ground is
1.1.48
2.14.46
3. 39.04
4. 85.54
Air at 700C and 0.015 humidity ratio is cooled adiabatically by spraying water. The final temperature of the air is 550C. Specific heat capacities of dry air and water vapour are 1.005 and 1.88 kJ kg-1 K-1, respectively and latent heat of vapourization of water at 00C is 2501.7 kJ kg-1. The absolute humidity of the outlet air, in kg water vapour per kg dry air is
1.0.017
2.0.019
3.0.021
4.0.023
Approximate percentage of scores that fall within ±Ïƒ (standard deviation) of the mean in a normal distribution is
1.34
2.68
3.95
4.99
Decimal reduction times for Bacillus subtilis are 37 s and 12 s at temperatures of 1200C and 1250C, respectively. The temperature rise, in 0C, necessary to reduce the first value of decimal reduction time at 1200C by a factor of 10 is
1.7.18
2.10.36
3.13.06
4.16.07
During field operation, the shank of a tractor drawn rigid tyne sweep type cultivator is mainly subjected to
1.bending
2.shear
3.torsion
4.bending and torsion
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
1.Stanton number
2.Prandtl number
3.Schmidt number
4.Sherwood number
If f'(x) = ex and f(0) = 5, then from Mean Value Theorem, the value of f(1) lies between
1.2 and (2 + e)
2.3 and (2 + e)
3.3 and (3 + e)
4.6 and (5 + e)
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
1.0.13
2.0.17
3.0.25
4.0.51
In a semi-modular outlet, the discharge
1.is independent of water levels in the distributary and the water course
2.depends upon the water levels of both distributary and water course
3.depends upon the water level in the distributary
4.depends upon the water level in the water course
In the early nineteenth century, theories of social evolution were inspired less by Biology than by the conviction of social scientists that there was a growing improvement in social institutions. Progress was taken for granted and social scientists attempted to discover its laws and phases. Which one of the following inferences may be drawn with the greatest accuracy from the above passage? Social scientists
1.did not question that progress was a fact
2.did not approve of Biology.
3.framed the laws of progress.
4. emphasized Biology over Social Sciences
Soybean is to be planted with a precision planter that meters 54 seeds per revolution of the metering disc powered from a ground wheel of diameter 490 mm. The desired plant population is 44800 per ha with a row to row spacing of 0.75 m. The germination percentage is 84. The planter is to be operated at 2.5 km h-1 with a 10% skid of ground wheel. The angular speed ratio of metering disc to ground wheel for obtaining the desired plant population is
1.0.125:1
2. 0.150:1
3.0.225:1
4.0.250:1
The constituent of producer gas which occupies the highest percentage by volume and helps in increasing its overall calorific value is
1.CO
2.CO2
3.H2
4.CH4
The constituent of producer gas which occupies the highest percentage by volume and helps in increasing its overall calorific value is
1.CO
2.CO2
3.H2
4.CH4
The difference between Fore Bearing and Back Bearing of a traverse line is
1.exactly 90o
2.less than 180o
3.exactly 180o
4.greater than 180o
The draft and total power requirement of a rotary cultivator operating in concurrent mode as compared to a spring tyne cultivator of equal cutting width under the same operating conditions, respectively are
1. higher and higher
2.lower and lower
3. lower and higher
4.higher and lower
The integrating factor of the differential equation (x + 1)dy/dx - y = sin x is
1. x
2.(x + 1)
3.1/x
4.1/(x + 1)
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
1.3, 5 and 7
2.2, 10 and 12
3.10, 12 and 4
4.9, 12 and 2
The relationship between outflow Q in m3 s-1 and storage S in m3 for an emergency spillway in a reservoir is Q = S/4000. Inflow, outflow and storage are assumed to be zero at time t = 0. If the inflow rate is 300 m3 s-1 at the end of t = 3 hours, the outflow rate in m3 s-1 is
1.152.84
2.164.84
3.172.34
4.184.84
The thresher of a wheat combine harvester has an optimal throughput capacity of 2400 kg (crop) per hour. The harvester has a forward velocity of 4.5 km h-1. Sample tests have revealed that the yield of crop in the field is 3000 kg (grain) per ha. Grain to straw ratio is 60 : 40. If the above throughput is to be maintained, the width of cut of the harvester in m, neglecting turning losses, is
1. 0.71
2.1.07
3.1.78
4.2.96
The type of pump used in forced water cooling system of a tractor engine is
1.piston
2.centrifugal
3.gear
4.vane
Two policemen, A and B, fire once each at the same time at an escaping convict. The probability that A hits the convict is three times the probability that B hits the convict. If the probability of the convict not getting injured is 0.5, the probability that B hits the convict is
1.0.14
2. 0.22
3.0.33
4.0.40
Two small parallel plane square surfaces, each measuring 4 mm × 4 mm are placed 0.5 m apart (centre to centre) with 30° angle between the radial distance and both the surface normals. The view factor between the two surfaces is
1.1.53 * 10-5
2.1.76 * 10-5
3. 3.82 * 10-3
4.4.41 * 10-3
Which one of the following statements is NOT appropriate regarding cone index
1. It reflects strength of soil
2.It is a composite parameter
3.It is dimensionless
4. It is measured at a constant penetration rate of 30 mm/s