Agricultural Engineering Gate 2023 Questions with Answer

Ques 27 GATE 2023

The apparent wall shear stress in a 0.6 m long pipe line carrying refined oil is 12.5 Pa. If the pressure drop along the length is 300 Pa and flow rate is 0.25 m³ s^-1, the absolute viscosity of oil in ×10^-3 Pa s is _______. (rounded off to 3 decimal places)

Ques 28 GATE 2023

A copper ball and a steel ball having diameters d₁ and d₂, respectively, are initially at a uniform temperature of 200°C. Both the balls are exposed to the atmosphere at 30°C. If both the balls attain a temperature of 120°C after equal exposure duration, then the ratio of d₁ to d₂ is _______. (rounded off to 3 decimal places, Assume Biot Number to be less than 0.1)
Material: Copper, Steel
Density (kg m^-3): 8950, 7800
Specific heat (J kg^-1 °C^-1): 383, 460
Thermal conductivity (W m^-1 °C^-1): 386, 36

Ques 29 GATE 2023

The carrot slices (water activity = 0.89) are to be preserved using osmo-dehydration. Addition of salt (NaCl) to 20% sucrose solution (water activity = 0.987) reduces the water activity to 0.85. Percentage of NaCl added to the solution is _______. (rounded off to 2 decimal places, Consider molecular mass of Sucrose = 342 and molecular mass of NaCl = 58.44)

Ques 30 GATE 2023

A quadratic function of two variables is given as f(x₁,x₂)=x₁²+2x₂²+3x₁+3x₂+x₁x₂+1. The magnitude of the maximum rate of change of the function at the point (1,1) is _______. (Round off to the nearest integer).

Ques 31 GATE 2023

If A and B are square matrices of order 3 × 3 such that det(A)=1, det(B)=3, then det(3AB^-1) equals

Ques 32 GATE 2023

lim_x→0 (x² + 1)/(x + 1) is equal to

Ques 33 GATE 2023

The value of ∫₀² (x² - 1/2 x + 2) dx is

Ques 34 GATE 2023

y = e^x sin x is the solution of the differential equation

Ques 35 GATE 2023

In rotary tiller, the total energy requirement for carrying out tillage will decrease if

Ques 36 GATE 2023

The effectiveness of the turbocharger of a diesel engine increases when

Ques 37 GATE 2023

In a thresher, the cylinder separation efficiency can be improved by increasing

Ques 38 GATE 2023

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

Ques 39 GATE 2023

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