Agricultural Engineering Gate 2023 Questions with Answer

Ques 14 GATE 2023

Given that y' = 2y and y(0) = 1, y'(0) = 1, when x = 0. Using Runge-Kutta fourth order method, the value of y at x = 0.2 is _______. (rounded off to 3 decimal places)

Ques 15 GATE 2023

A power operated chaff cutter with a mean cutting radius of 0.25 m is fitted with two cutting knives and is rotating at 300 rpm. Thirty maize stalks with a mean diameter of 12 mm are fed through the throat at a time. The dynamic shear strength of the stalk is 0.05 N mm^-2. The mass and radius of gyration of the flywheel including knives are 40 kg and 0.27 m, respectively. The total shaft power requirement in kW is _______. (rounded off to 2 decimal places)

Ques 16 GATE 2023

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)

Ques 17 GATE 2023

A 4-stroke diesel engine can be operated with either diesel (heating value 45 MJ kg^-1) or biodiesel blend, B20 (heating value 42.1 MJ kg^-1). The brake specific fuel consumption of the engine when operated with diesel and B20 is 260 g kW^-1 h^-1 and 310 g kW^-1 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)

Ques 18 GATE 2023

A solar photovoltaic system is used to generate power from total solar radiations varying from 400 to 750 W 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 m² is _______. (rounded off to 3 decimal places)

Ques 19 GATE 2023

A single disc clutch is used to transmit 10 kW power at 1400 rpm. The axial pressure exerted on the contact surface is 0.07 N mm^-2 and the coefficient of friction is 0.25. Considering the ratio of diameter to face width of the clutch lining as 8 and assuming uniform wear theory, the required face width of friction lining in mm is _______. (rounded off to 2 decimal places)

Ques 20 GATE 2023

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

Ques 21 GATE 2023

Two cylindrical reservoirs A and B are connected by a 30 m long pipe of 250 mm internal diameter as shown in Figure below. The Darcy-Weisbach friction factor for the pipe is 0.025. Initially the reservoir A was full at the indicated level and reservoir B was empty. If the entrance and exit losses in this pipe are neglected, the time required to empty the reservoir A in hour is _______. (rounded off to 3 decimal places, Consider π = 3.14 and g = 9.81 m s^-2)

Ques 22 GATE 2023

A homogenous anisotropic earthen dam of height 52 m with a free board of 2 m is constructed on an impermeable foundation. The horizontal and vertical hydraulic conductivities of soil used for the construction of the dam are 4.5 × 10^-8 m s^-1 and 2.0 × 10^-8 m s^-1, respectively. There are 6 flow channels and 25 equipotential drops in a square flownet drawn in the transformed dam section. If the downstream dam side is dry, the quantity of seepage per unit length through the dam in m³ day^-1 m^-1 is _______. (rounded off to 3 decimal places)

Ques 23 GATE 2023

A salt affected crop field is to be leached with irrigation water having salt concentration of 3.5 meq L^-1. Salt concentration in the saturation extract of soil is 15.2 meq L^-1. Leaching efficiency of the field is 55%. In the month of March, the observed reference evapotranspiration and effective rainfall in this area are 150 mm and 75 mm, respectively. If the average crop coefficient in this month is 1.05, the leaching requirement for the entire month in mm is _______. (rounded off to 2 decimal places)

Ques 24 GATE 2023

A 10 m long concrete pipe is required to carry a peak discharge of 1.0 m³ s^-1 in a drop inlet spillway with a head of 4 m. The entrance loss coefficient is 0.5 and the friction loss coefficient is 0.02. Consider g = 9.81 m s^-2. The neutral slope of the water level in per cent is _______. (rounded off to 2 decimal places)

Ques 25 GATE 2023

Discharge from a centrifugal pump operating at 1000 rpm with a total head of 30 m is 300 L min^-1. The pump efficiency is 65%. If speed of the pump is increased to 1200 rpm, the power required to operate the pump in kW is _______. (rounded off to 2 decimal places, Consider g = 9.81 m s^-2)

Ques 26 GATE 2023

A 0.30 m diameter well penetrates an unconfined aquifer with a saturated depth of 40 m. After 8 hours of pumping at a steady rate of 0.03 m³ s^-1, the drawdown in two observation wells located at 20 m and 50 m away from the pumping well are found to be 3 m and 2 m, respectively. The drawdown in the pumping well in m is _______. (rounded off to 1 decimal place, Consider π = 3.14)