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Aerospace Engineering Gate 2020 Questions with Answer
Ques 1 GATE 2020
For f(x)=|x|, with df/dx denoting the derivative, the mean value theorem is not applicable because
Ques 2 GATE 2020
For the function f(x)= e-λ/σ√2π, where λ=1/ 2σ²(x-μ)2 and μ are constants, the maximum occurs at
Ques 3 GATE 2020
y=Aemx+Be-mx where A, B and m are constants, is a solution of
Ques 4 GATE 2020
Given 
the sum of squares of eigenvalues of A is
Ques 5 GATE 2020
The positive high angle-of-attack condition is obtained in a steady pull-out maneuver at the largest permissible angle-of-attack of the wing. Under this condition, at which of the following regions of the wing does the maximum tension occur? (Image of a wing is given with regions labeled I, II, III, and IV)
Ques 6 GATE 2020
For conventional airplanes, which one of the following is true regarding roll control derivative (Clδr = ∂Cl/∂δr) and yaw control derivative (Cnδr = ∂Cn/∂δr), where δr is rudder deflection?
Ques 7 GATE 2020
The eigenvalues for phugoid mode of a general aviation airplane at a stable cruise flight condition at low angle of attack are λ1,2=-0.02±i0.25. If the acceleration due to gravity is 9.8 m/s², the equilibrium speed of the airplane is _______ m/s (round off to two decimal places).
Ques 8 GATE 2020
For a general aviation airplane with tail efficiency η = 0.95, horizontal tail volume ratio VH = 0.453, downwash angle slope dε/dα = 0.35, wing lift curve slope CLαw = 4.8 rad-1, horizontal tail lift curve slope CLαt = 4.4 rad-1, shift in neutral point location as a percentage of mean aerodynamic chord is _______ (round off to two decimal places).
Ques 9 GATE 2020
A single engine, propeller driven, general aviation airplane is flying in cruise at sea-level condition (density of air at sea-level is 1.225 kg/m³) with speed to cover maximum range. For drag coefficient CD=0.025+0.049CL² and wing loading W/S=9844 N/m², the speed of the airplane is _______ m/s (round off to one decimal place).
Ques 10 GATE 2020
An airplane of mass 4000 kg and wing reference area 25 m² flying at sea level has a maximum lift coefficient of 1.65. Assume density of air as 1.225 kg/m³ and acceleration due to gravity as 9.8 m/s². Using a factor of safety of 1.25 to account for additional unsteady lift during a sudden pull-up, the speed at which the airplane reaches a load factor of 3.2 is _______ m/s (round off to two decimal places).
Ques 11 GATE 2020
Which of the following statements is true about the effect of increase in temperature on dynamic viscosity of water and air, at room temperature?
Ques 12 GATE 2020
Given access to the complete geometry, surface pressure and shear stress distribution over a body placed in a uniform flow, one can estimate
Ques 13 GATE 2020
A pair of infinitely long, counter-rotating line vortices of the same circulation strength Γ are situated a distance h apart in a fluid, as shown in the figure. The vortices will
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