Agricultural Engineering Gate 2021 Questions with Answer

Ques 27 GATE 2021

Fixed cost per year and variable cost per hour of a tractor were estimated based on its annual usage of 800 h. The total cost of operation was found to be Rs. 540 per hour. It was later re-estimated and found that total cost of operation would be Rs. 510 per hour, if the annual hours of use were increased to 1000 h. Considering all the components of annual usage cost to be the same, the variable cost in Rs. per hour would be [answer in integer]

Ques 28 GATE 2021

Two meshed involute gears transmit 1.0 kW power. The pressure angle is 20° and the pitch circle diameter of the large gear rotating at a speed of 600 rpm is 20 cm. If only a pair of teeth meshes at a time, the normal force acting between the meshed teeth in N will be [round off to one decimal place] (Take π = 3.14)

Ques 29 GATE 2021

Stoichiometric air-fuel ratio of an SI engine is 14.7:1. If equivalence ratio (λ) is 0.92, the actual air-fuel ratio maintained during the engine operation is [round off to 2 decimal places]

Ques 30 GATE 2021

Stoichiometric air-fuel ratio of an SI engine is 14.7:1. If equivalence ratio (λ) is 0.92, the actual air-fuel ratio maintained during the engine operation is [round off to 2 decimal places]

Ques 31 GATE 2021

A gear pump has a displacement of 120 cm³ rev⁻¹ and it runs at 1500 rpm against a system pressure of 18 MPa. If the torque efficiency of the pump is 90%, actual torque required to run the pump in N·m is [round off to 2 decimal places] (Take π = 3.14)

Ques 32 GATE 2021

Food cans are sterilized in a retort to inactivate Clostridium botulinum. Process time (Fo) of this food material is 150 s and the z value is 10 °C. Temperatures of the slowest heating location of the food can are measured and the average temperature during time periods 0 to 10 min, 10 to 40 min and 40 to 70 min are 71.1 °C, 98.9 °C and 110 °C, respectively. The actual process time in minutes that is required for equivalent sterilization at 121.1°C is [round off to 2 decimal places]

Ques 33 GATE 2021

Molecular masses of water and air are 18.02 and 28.97 kg (kg mol)⁻¹, respectively. Air in a room is at 40 °C under a total pressure of 101.3 kPa absolute and contains water vapour at a partial pressure of 4.0 kPa. If saturated vapour pressure of water at 40 °C is 7.37 kPa, the relative humidity of this air in per cent is [round off to 2 decimal places]

Ques 34 GATE 2021

A cylindrical storage bin with an internal diameter of 4 m and a height of 16 m is completely filled with paddy having bulk density of 640 kg m⁻³. The angle of internal friction between grain and bin wall is 30° and the ratio of horizontal to vertical pressures is 0.4. When the grain filling rises from 4 m to 16 m in height, the lateral pressure increases by a multiple of [round off to 2 decimal places]

Ques 35 GATE 2021

One side of a solid food block of 10 cm thickness is subjected to a heating medium having a film heat transfer coefficient of 70 W (m² °C)⁻¹. The other side of the food block is being cooled by a medium having a film heat transfer coefficient of 100 W (m² °C)⁻¹. The food block is having a thermal conductivity of 0.2 W (m °C)⁻¹ and the contact area of the block available for heat transfer is 1 m². Heat transfer rate in the block at steady state is 100 J s⁻¹. The temperature difference between the two sides of the block in °C is [round off to 2 decimal places]

Ques 36 GATE 2021

One-dimensional generalized heat conduction equation representing temperature distribution in a sphere, based on thermal conductivity k, specific heat capacity Cp, density ρ, and energy generation E, can be written as (1/r^n) d/dr [k r dθ/dr] + E = ρ Cp dθ/dt , where the value of n is

Ques 37 GATE 2021

In butter, the fishy flavor defect is due to the decomposition of

Ques 38 GATE 2021

Fresh potatoes of mass 1000 kg are dried from 14% to 93% total solids. If 7% of original potatoes is lost in peeling, the product yield from fresh potatoes in percent is [answer in integer]

Ques 39 GATE 2021

In an ordinary chimney, the draught is 12 mm of water column. Assuming density of water to be 1000 kg m⁻³, the pressure difference between the outside air and gas at the base of the chimney in Pa is [round off to one decimal place]