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Sources of Power(8)Farm Power and Internal Combustion Engines(20)Tractors and Power Tillers(20)

Sources of Power

8 Questions

GATE→2026→Farm Power→Sources of Power

Q1

MCQ[2 Marks]

A small horizontal-axis wind turbine (HAWT) is being designed to deliver 2 kW shaft power at a steady wind speed of 7 m.s−1. The HAWT operates with an aerodynamic power coefficient of 0.36, drivetrain efficiency of 0.90, and air density of 1.225 kg.m−3. Neglecting other losses, the required rotor diameter is X m. When the wind speed drops to 6 m.s−1, the shaft power is Y kW. Identify the nearest correct option for X and Y combination (Take π = 3.14) (A) X = 6.12 Y = 1.28 (B) X = 3.06 Y = 0.63 (C) X = 6.12 Y = 2.00 (D) X = 6.75 Y = 1.50

(A)

X = 6.12 Y = 1.28

(B)

X = 3.06 Y = 0.63

(C)

X = 6.12 Y = 2.00

(D)

X = 6.75 Y = 1.50

Explanation

GATE→2025→Farm Power→Sources of Power

Q2

NAT[2 Marks]

A flat plate solar collector located at Bhopal ($23^{\circ}15^{\prime}\text{N}, 77^{\circ}42^{\prime}\text{E}$) is tilted at an angle of $30^{\circ}$ with the horizontal and facing due South. Considering hour angle as $45^{\circ}$, the angle made by the beam radiation with normal to the collector plate on June 30, 2023 at 3:00 PM (Local Apparent Time) is ___ degree. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Sources of Power

Q3

NAT[2 Marks]

A horizontal axis wind turbine with 24 m diameter blades, running with an average wind velocity of $6.0\text{ m}\cdot\text{s}^{-1}$, is used for pumping irrigation water. The average air density is 1.23 $\text{kg}\cdot\text{m}^{-3}$ Considering coefficient of power as 0.3, transmission efficiency as 90%, pump efficiency as 60%, acceleration due to gravity as $9.81\text{ m}\cdot\text{s}^{-2}$ and density of water as $1000\text{ kg}\cdot\text{m}^{-3}$, the discharge of the pump for a total head of 20 m is ___ $\text{L}\cdot\text{s}^{-1}$. (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Sources of Power

Q4

NAT[2 Marks]

A tractor drawn rotary mower has a swath width 1.2 m when operated at a forward speed of $5\text{ km}\cdot\text{h}^{-1}$. The specific power loss due to air, stubble and gear train friction per m of swath width is 1.5 kW and the specific cutting energy is $2\text{ kJ}\cdot\text{m}^{-2}$. The total weight of tractor with mower is 25 kN and the resistance to propel the tractor with mower is 6% of its total weight. Assuming transmission efficiency between engine to drawbar as 75% and engine to PTO as 87%, the total engine power required to carry out mowing, in kW, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Sources of Power

Q5

NAT[2 Marks]

A farmer desires to run a diesel engine developing a brake power of 1.5 kW, continuously for 2 hours using biogas and diesel in a dual fuel mode. If gas requirement for running the engine in dual fuel mode is $0.67\text{ m}^{3}\cdot\text{kW}^{-1}\cdot\text{h}^{-1}$, the minimum size of KVIC model biogas plant with a gas holding capacity of 60% suitable for running this diesel engine, in $\text{m}^{3}$ is ___ (Answer in integer)

Explanation

GATE→2023→Farm Power→Sources of Power

Q6

NAT[1 Mark]

Considering declining balance method, the constant rate of depreciation at which the value of the tractor will come down to 50% of its purchase price at the end of $4^{th}$ year in per cent is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Power→Sources of Power

Q7

NAT[2 Marks]

A solar photovoltaic system is used to generate power from total solar radiations varying from 400 to 750 W $\text{m}^{-2}$. The maximum conversion efficiency of solar photovoltaic system is 14%. The open circuit voltage, short circuit current and fill factor of solar cells are 21.6 V, 3.22 A and 0.72, respectively. To generate maximum power, the minimum cell area required in $\text{m}^{2}$ is ___ (rounded off to 3 decimal places).

Explanation

GATE→2022→Farm Power→Sources of Power

Q8

MCQ[1 Mark]

Complement of the Solar Altitude angle is

(A)

Zenith angle

(B)

Azimuth angle

(C)

Hour angle

(D)

Profile angle

Explanation

Farm Power and Internal Combustion Engines

20 Questions

GATE→2026→Farm Power→Farm Power and Internal Combustion Engines

Q9

MCQ[1 Mark]

Fuel property that predominantly governs ‘hard / cold starting’ in SI engine is P; and the property that predominantly governs ‘ignition delay’ in CI engine is Q. Identify the correct option for P and Q combination (A) P: Octane number Q: Calorific value (B) P: Volatility Q: Cetane number (C) P: Flash point Q: Viscosity (D) P: Calorific value Q: Octane number

(A)

P: Octane number Q: Calorific value

(B)

P: Volatility Q: Cetane number

(C)

P: Flash point Q: Viscosity

(D)

P: Calorific value Q: Octane number

Explanation

GATE→2026→Farm Power→Farm Power and Internal Combustion Engines

Q10

MCQ[1 Mark]

A tractor engine delivers 382 N.m brake torque at a rated speed of 2000 rpm. The radiator cooling fan draws 5% of the engine brake power. The fan pushes 2.8 m3.s−1 of air against 0.9 kPa static pressure rise. Assuming air as incompressible, and ignoring other losses, the fan efficiency, in %, is nearest to (Take π = 3.14) (A) 58 (B) 60 (C) 63 (D) 65

(A)

58

(B)

60

(C)

63

(D)

65

Explanation

GATE→2026→Farm Power→Farm Power and Internal Combustion Engines

Q11

MCQ[1 Mark]

The RMS sound pressure is increased by 50%. This increases the sound pressure level, in dB, nearly by (A) 3.52 (B) 8.11 (C) 100.21 (D) 43.52

(A)

3.52

(B)

8.11

(C)

100.21

(D)

43.52

Explanation

GATE→2026→Farm Power→Farm Power and Internal Combustion Engines

Q12

NAT[2 Marks]

A four-cylinder four-stroke engine (100 mm bore and 120 mm stroke) runs at 1800 rpm mean speed with 0.9 MPa indicated mean effective pressure (IMEP). The flywheel constant (ratio of the energy fluctuation to the indicated work per crankshaft revolution) is 0.30. All other losses are neglected. For an allowable speed fluctuation of ±1% about the mean, the required flywheel mass moment of inertia (in kg.m2) is ________. (Rounded off to two decimal places) (Take π = 3.14)

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q13

MSQ[1 Mark]

Which of the following method(s) is/are generally used in spark ignition engines for evaluating volatility?

(A)

Distillation test

(B)

Motor method

(C)

Pensky Martens closed tester

(D)

Reid vapor pressure test

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q14

NAT[2 Marks]

A four-stroke diesel engine has a displacement volume of 6.0 L and it operates at 2300 rpm with 75% mechanical efficiency. The indicated mean effective pressure is 800 kPa. If the engine has brake-specific fuel consumption of $320\text{ g}\cdot\text{h}^{-1}\cdot\text{kW}^{-1}$, considering calorific value of the fuel as $44.6\text{ MJ}\cdot\text{kg}^{-1}$, the fuel equivalent power is ___ kW. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q15

NAT[2 Marks]

An engine's torque-speed characteristics is given below: $T_{maxP}=125\text{ N}\cdot\text{m}$, $N_{maxP}=2400\text{ rpm}$, $N_{HI}=2600\text{ rpm}$ $T_{max}=160\text{ N}\cdot\text{m}$, $N_{maxT}=1450\text{ rpm}$ The Governor's regulation is ___ %. (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q16

MCQ[1 Mark]

In places with severe cold climate, the most important fuel property to be considered for running an internal combustion engine is

(A)

heating value

(B)

flash point

(C)

pour point

(D)

boiling point

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q17

NAT[1 Mark]

The air standard cycle efficiency of the Otto cycle is 56% and heat supplied is 12.5 kJ, the heat rejected during the cycle, in kJ, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q18

MCQ[2 Marks]

A 3-cylinder 4-stroke diesel engine with a bore 73 mm and stroke 78 mm is tested at 2200 rpm. When a braking torque 55 N.m is applied, the indicated mean effective pressure is found to be 1050 kPa. The mechanical efficiency of the engine, in %, is (Rounded off to 2 decimal places)

(A)

57.21

(B)

61.45

(C)

67.21

(D)

71.25

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q19

MCQ[1 Mark]

The effectiveness of the turbocharger of a diesel engine increases when

(A)

the ambient temperature increases

(B)

the pressure ratio across the compressor decreases

(C)

the load on the engine increases

(D)

the displacement volume of the engine decreases

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q20

MCQ[1 Mark]

In a 4-stroke single cylinder diesel engine, the inlet valve opens at $10^{\circ}$ before TDC and closes at $40^{\circ}$ after BDC. The exhaust valve opens at $25^{\circ}$ before BDC and closes at $15^{\circ}$ after TDC. The percentage of time for which both the valves remain closed in one cycle of the engine is

(A)

32.29

(B)

40.97

(C)

46.53

(D)

75.01

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q21

MCQ[1 Mark]

The torque available at maximum power developed by the tractor is 150 N m. If the reserve torque is 20%, the peak torque that can be developed by the tractor in N m is

(A)

100

(B)

120

(C)

180

(D)

210

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q22

MCQ[2 Marks]

A field sprayer with 12 nozzles fitted to the boom at a spacing of 0.5 m is used for spraying at a height of 0.75 m from the ground. The angle of spraying is $75^{\circ}$ If the height of spraying is reduced to 0.6 m, the change in swath in m is

(A)

0.23

(B)

0.48

(C)

0.65

(D)

0.91

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q23

NAT[2 Marks]

A 4-stroke diesel engine can be operated with either diesel (heating value $45\text{ MJ }\text{kg}^{-1}$) or biodiesel blend, B20 (heating value $42.1\text{ MJ }\text{kg}^{-1}$). The brake specific fuel consumption of the engine when operated with diesel and B20 is $260\text{ g }\text{kW}^{-1}\text{h}^{-1}$ and $310\text{ g }\text{kW}^{-1}\text{h}^{-1}$, respectively. For developing a brake power of 20 kW, the change in brake thermal efficiency of the engine when B20 is used in place of diesel is ___ (rounded off to 2 decimal places).

Explanation

GATE→2022→Farm Power→Farm Power and Internal Combustion Engines

Q24

MCQ[1 Mark]

The lowest temperature at which the fuel ceases to flow is known as

(A)

Pour point

(B)

Cloud point

(C)

Flash point

(D)

Boiling point

Explanation

GATE→2022→Farm Power→Farm Power and Internal Combustion Engines

Q25

NAT[1 Mark]

A single cylinder four-stroke diesel engine has an engine displacement volume of 9 L, the engine rotates at 2400 rpm and its volumetric efficiency is 88%. The actual air inducted into the cylinder in $\text{m}^{3}\text{ s}^{-1}$ is [round off to three decimal places]

Explanation

GATE→2022→Farm Power→Farm Power and Internal Combustion Engines

Q26

MCQ[2 Marks]

An ideal gas is compressed adiabatically (Adiabatic exponent $\gamma=1.4$) from 98 kPa to 480 kPa and the specific volume of the gas at the beginning of the compression stroke is $0.45\text{ m}^{3}\text{kg}^{-1}$. The specific work done on the gas in kJ $\text{kg}^{-1}$ is

(A)

12.6

(B)

18.5

(C)

25.4

(D)

63.3

Explanation

GATE→2022→Farm Power→Farm Power and Internal Combustion Engines

Q27

NAT[2 Marks]

The crank radius and connecting rod length of an IC engine are 250 mm and 1000 mm, respectively. If the crank turns $100^{\circ}$ from the head dead centre and the net force acting on the piston along its direction of motion is 35 kN, the turning moment of the crank shaft at that instant in kN m is [round off to two decimal places]

Explanation

GATE→2022→Farm Power→Farm Power and Internal Combustion Engines

Q28

NAT[2 Marks]

An engine develops 42 kW brake power when it runs with B20 fuel (80% biodiesel and 20% diesel by volume) with a brake thermal efficiency of 24%. The heating value of the fuel is 46.15 $\text{MJ kg}^{-1}$ and its density is 0.845 $\text{kg L}^{-1}$. The fuel consumption of the engine in $\text{L h}^{-1}$ will be [round off to two decimal places]

Explanation

Tractors and Power Tillers

20 Questions

GATE→2026→Farm Power→Tractors and Power Tillers

Q29

MCQ[1 Mark]

A 2WD tractor’s driving axle experiences total dynamic normal load of 28 kN. The driving wheels have 0.60 m rolling radius. The total driving axle torque measured is 10.7 kN.m. At 18% wheel slip, the coefficient of net traction is 0.35. Tractive efficiency of the driving wheels, in %, is nearest to (A) 45 (B) 35 (C) 55 (D) 58

(A)

45

(B)

35

(C)

55

(D)

58

Explanation

GATE→2026→Farm Power→Tractors and Power Tillers

Q30

NAT[2 Marks]

A 2WD tractor has to develop 30 kN gross tractive force at the ground. Rolling radius of the rear-wheels is 0.73 m. Each rear-wheel is driven by a simple planetary final-drive in which sun gear (26 teeth) is input, ring gear (78 teeth) is fixed, and the carrier is bolted to rear-wheel hub. The sun-planet external mesh efficiency is 98.5%, while the planet-ring internal mesh efficiency is 99%. Losses upstream of the final-drive are neglected. The required sun-shaft input torque per rear-wheel (in kN.m) is ________. (Rounded off to two decimal places)

Explanation

GATE→2026→Farm Power→Tractors and Power Tillers

Q31

NAT[2 Marks]

A stationary Ackerman-steer tractor on dry, clean concrete surface carries 12 kN vertical load on each front steered wheel of 0.28 m nominal tyre width (b). Assume uniform pressure distribution on the circular tyre-print area having diameter b. Effective friction coefficient between tyre and surface is 0.30. The steering is individually power-assisted by a single-rod hydraulic cylinder, acting through a pitman arm resulting in 60 mm effective moment arm. The hydraulic relief valve is set to 8 MPa, and the cylinder bore is 32 mm (ignore rod area). Neglect other losses. The maximum kingpin offset (in mm), which does not cause to exceed the maximum allowable kingpin torque is ________. (Rounded off to the nearest integer) (Take π = 3.14)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q32

MCQ[1 Mark]

By tripling the RMS sound pressure, the resulting increase in the sound pressure level in dB is closest to:

(A)

9.54

(B)

6.02

(C)

4.77

(D)

3.01

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q33

MCQ[1 Mark]

While studying vertical motion imparted to the base of tractor seat, $\theta$ (radian) is considered as rotation about tractor's CG and R is considered as longitudinal distance from operator's seat to the tractor's CG. For a small value of $\theta$, the term '$R\theta$' represents the vertical motion resulting from tractor's

(A)

pitch motion

(B)

roll motion

(C)

yaw motion

(D)

lateral motion

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q34

NAT[1 Mark]

The nominal radius of the rear wheels of a 2WD tractor is 0.5 m. The rolling radius of the tire is 6% less than the nominal radius. While conducting a field test, if the actual distance covered for 20 revolutions of the rear wheel is found to be 56 m, the rear wheel slip is ___ %. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q35

NAT[1 Mark]

Front wheel pivot points of a 2WD tractor are 1.2 m apart. When making turn on a flat concrete surface, the inner front wheel makes $50^{\circ}$ and the outer front wheel makes $35^{\circ}$ steering angles. To ensure turning without front wheel skid, the wheel base of the tractor should be ___ m. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q36

NAT[2 Marks]

An engine, running at 1200 rpm, drives a 1.2 m diameter rigid wheel on a non-deformable surface at $5\text{ km}\cdot\text{h}^{-1}$ forward speed. The power is transmitted from the engine to the wheel through a transmission gear box (gear ratio $=3:1$), a differential (gear ratio $=4:1$), and a final drive (gear ratio $=n:1$). Neglecting the deformation of the wheel and wheel slip, the value of n is ___. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q37

NAT[2 Marks]

The height of CG of a 4WD tractor with equal tread (1.25 m) in front and rear is 0.85 m. The tractor overturns during turning at a speed of $18\text{ km}\cdot\text{h}^{-1}$. Neglecting the frictional forces on the tractor wheels, the turning radius is ___ m. (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q38

MCQ[1 Mark]

If the dynamic weight on the front axle is lesser than 20% of the total weight of tractor, the longitudinal instability of tractor can be avoided by

(A)

adding weight on the rear axle

(B)

adding weight on the front axle

(C)

reducing weight on the rear axle

(D)

reducing weight on the front axle

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q39

MCQ[1 Mark]

A towed rigid wheel with a total weight W is to be rolled on a hard horizontal surface as well as up the slope on a hard surface inclined at an angle $\theta$ with the horizontal. The rolling resistance of the wheel on inclined surface as compared to that on the horizontal surface is

(A)

increased by W \sin\theta

(B)

increased by W \cos\theta

(C)

decreased by W \sin\theta

(D)

decreased by W \cos\theta

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q40

NAT[1 Mark]

The height of adult males at $5^{th}$, $50^{th}$ and $95^{th}$ percentiles are 162 cm, 173 cm and 185 cm, respectively. The minimum inside height of the tractor cab required to ensure the satisfactory design based on the given data, in cm, is ___ (Answer in integer)

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q41

NAT[2 Marks]

An accelerator mounted to the waist of a seated tractor operator records an RMS acceleration of $2.5\text{ m}\cdot\text{s}^{-2}$. By improving the seat design, the vibration acceleration level is decreased by 5 dB. After improvement, the RMS acceleration, in $\text{m}\cdot\text{s}^{-2}$ is ___ (Rounded off to 3 decimal places)

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q42

NAT[2 Marks]

A two-wheel drive tractor having a total weight of 20 kN is pulling an implement at an actual speed of $3\text{ km}\cdot\text{h}^{-1}$. The ratio of axle power (kW) to dynamic weight (kN) on the rear axle is expressed as 1.79/V, where, V is the theoretical forward speed in $\text{km}\cdot\text{h}^{-1}$. During pulling the implement, the weight distribution on the front and rear axles of the tractor is 40% and 60% of the total weight, respectively, with wheel slip 12% and coefficient of net traction 0.42. The tractive efficiency, in %, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2023→Farm Power→Tractors and Power Tillers

Q43

NAT[2 Marks]

A two-wheel drive tractor with a total weight of 24 kN has a static weight distribution of 30% and 70% at the front and rear axles, respectively. When the tractor is operated on a level ground of pure sand, the maximum tractive force developed is 13 kN. If external weight of 1.5 kN is added to the rear axle, neglecting weight transfer, the change in maximum tractive force in kN is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Power→Tractors and Power Tillers

Q44

NAT[2 Marks]

In a tractor seat system, the chassis frequency and seat suspension damping rate are $20\text{ rad }\text{s}^{-1}$ and $400\text{ }\text{N }\text{m}^{-1}$ s, respectively. The critical damping rate of tractor seat system is $1600\text{ }\text{N }\text{m}^{-1}$ s. If the combined mass of the seat and operator is 80 kg, the transmissivity of vibration is ___ (rounded off to 2 decimal places).

Explanation

GATE→2022→Farm Power→Tractors and Power Tillers

Q45

NAT[1 Mark]

A two-wheel drive tractor is fitted with driving wheels having rolling radius of 860 mm. The effective gear ratio between the engine to the drive wheels is 98:1 and the power transmission efficiency at that gear ratio is 86%. If the engine torque is 520 Nm, the ground thrust developed by the drive wheels in kN is [round off to two decimal places]

Explanation

GATE→2022→Farm Power→Tractors and Power Tillers

Q46

NAT[1 Mark]

A double acting hydraulic cylinder has bore and rod diameter of 76 mm and 25 mm, respectively. In extension as well as retraction strokes of the cylinder, the oil flow rate to the cylinder from the pump is 40 L $\text{min}^{-1}$. The velocity of the piston during retraction stroke in $\text{m }\text{s}^{-1}$ is [round off to two decimal places] (Take $\pi=3.14$)

Explanation

GATE→2022→Farm Power→Tractors and Power Tillers

Q47

NAT[2 Marks]

The root mean square acceleration for mechanical vibration of a tractor is 3.15 $\text{m }\text{s}^{-2}$ and its frequency is 80 Hz. The root mean square amplitude of the vibration in µm is [round off to two decimal places] (Take $\pi=3.14$)

Explanation

GATE→2022→Farm Power→Tractors and Power Tillers

Q48

NAT[2 Marks]

The static weight on front and rear axles of a two-wheel drive tractor are 3 kN and 9 kN, respectively. The wheel-base of the tractor is 2.1 m and the tractor pulls a load of 7.5 kN. The perpendicular distance from the front wheel ground contact point to the line of pull is 680 mm. Neglecting the wheel contact off-set on the ground, the weight transfer onto the rear axle in kN is [round off to two decimal places]

Explanation