Agricultural Engineering Gate 2023 Questions with Answer

Ques 1 GATE 2023

A vector F = 5i + 10j - 8k is passing through the origin of a 3-D frame. Considering the tendency of rotation in the counter clockwise direction as positive, the moment about a point A(3,4,8) is

Ques 2 GATE 2023

A vertical disc plough with 5 discs is operated at a depth of 0.15 m. The disc angle and disc diameter are 40° and 0.6 m, respectively. If overlap between two consecutive discs is 0.12 m at 0.15 m depth of cut, the total width of cut at the specified depth in m is

Ques 3 GATE 2023

In a 9×20 cm fluted roller type seed drill, each fluted roller is discharging 4.25 g of seed per revolution of fluted roller shaft. The fluted roller shaft rotates once for two complete rotation of the ground drive wheel of the seed drill. The rolling diameter of the ground drive wheel is 0.35 m. Considering no skid of the ground drive wheel, the seed rate in kg ha^-1 is (Consider π = 3.14)

Ques 4 GATE 2023

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°. If the height of spraying is reduced to 0.6 m, the change in swath in m is

Ques 5 GATE 2023

The ordinates of a 6-hour S-hydrograph of a catchment are given in Table below.

Ques 6 GATE 2023

It is planned to provide irrigation in a crop field having field capacity and permanent wilting point of the soil as 0.21 cm³ cm^-3 and 0.09 cm³ cm^-3, respectively. The crop root zone depth is 0.90 m. The growing period of this crop is 1st January to 31st March, during which the observed reference evapotranspiration ET_r, effective rainfall P_e and crop coefficients K_c are listed below.

Ques 7 GATE 2023

The infiltration capacity of a basin is described by the Horton's equation, f_t = f_c + (f₀ - f_c) e^-kt, where f is in cm h^-1 and the duration, t is in hours. If the duration of the storm event is 2 hours, the depth of the infiltration in the last 1 hour of the storm event in mm is

Ques 8 GATE 2023

In a juice filtration process, solid concentration per m³ of filtrate is 0.2 kg. During filtration of 12.49 m³ of juice, 0.02 m thick cake (porosity = 0.32) is deposited. If 2.5 kg of solid is collected in 180 s, the pressure drop across the cake in kPa is (Absolute viscosity of juice is 2.12 × 10^-3 kg m^-1 s^-1, and specific cake resistance is 1.2 × 10⁸ m kg^-1)

Ques 9 GATE 2023

Cheese is packed in a bilayer plastic package made up of low density polyethylene (LDPE) and polyethylene terephthalate (PET). The thickness of LDPE and PET in the package are 1.5 mm and 1.3 mm, respectively. The surface area of the plastic package is 6.25 cm². The partial pressure difference of oxygen across the package wall is 0.30 atm. The permeability coefficient of oxygen in LDPE and PET are 4.18 × 10^-8 cm³ cm cm^-2 s^-1 atm^-1 and 1.67 × 10^-10 cm³ cm cm^-2 s^-1 atm^-1, respectively. If the food gets spoiled when it absorbs 0.025 ml of oxygen, then the shelf life of food in days is

Ques 10 GATE 2023

The rotor shaft of an ice cream freezer consists of 3 scraper blades. The temperature difference between the ice cream mix and the refrigerant during freezing of ice cream is 30°C. Density and latent heat of fusion of ice are 917 kg m^-3 and 335 kJ kg^-1, respectively. The overall heat transfer coefficient is 2000 kJ m^-2 h^-1 °C^-1. If the maximum thickness of ice formed before being scraped off is 10 μm, the minimum speed of the scraper shaft in rpm is

Ques 11 GATE 2023

The percentage absolute humidity of air becomes equal to the percentage relative humidity, when

Ques 12 GATE 2023

Dimensionless numbers play an important role in correlating transfer coefficients during forced convection. In relation to the dimensionless numbers, the correct statement(s) is/are

Ques 13 GATE 2023

In a locality A, the probability of a convective storm event is 0.7 with a density function, f₁(x) = 1, 0 ≤ x ≤ 1. The probability of tropical cyclone-induced storm in the same location is given by the density function f₂(x) = 2x², x ≥ 0. The probability of occurring more than 1 unit of storm event is _______. (rounded off to 2 decimal places)