Aerospace Engineering GATE 2020 Questions with Answer

Ques 1 Engineering Mathematics


For f(x)=|x|, with df/dx denoting the derivative, the mean value theorem is not applicable because

A

f(x) is not continuous at x=0

B

f(x)=0 at x=0

C

df/dx is not defined at x=0

D

df/dx=0 at x=0


Ques 2 Engineering Mathematics


For the function f(x)= e/σ√2π, where λ=1/ 2σ²(x-μ)2 and μ are constants, the maximum occurs at

A

x=σ

B

x=σ√2π

C

x=2σ²

D

x=μ


Ques 3 Engineering Mathematics


y=Aemx+Be-mx where A, B and m are constants, is a solution of

A

d2y/dx2-m²y=0

B

A d2y/dx2 +m²y=0

C

B d2y/dx2 +Ay=0

D

d2y/dx2+my=m²


Ques 4 Engineering Mathematics


Given the sum of squares of eigenvalues of A is

A

tan2θ

B

1

C

sin2θ

D

cos2θ


Ques 5 Flight Mechanics


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)

A

I

B

II

C

III

D

IV


Ques 6 Flight Mechanics


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?

A

Clδr > 0 and Cnδr < 0

B

Clδr < 0 and Cnδr > 0

C

Clδr < 0 and Cnδr < 0

D

Clδr > 0 and Cnδr > 0


Ques 7 Flight Mechanics


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).

55.20 to 55.33 is the correct answer.


Ques 8 Flight Mechanics


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 Cw = 4.8 rad-1, horizontal tail lift curve slope Ct = 4.4 rad-1, shift in neutral point location as a percentage of mean aerodynamic chord is _______ (round off to two decimal places).

25.60 to 25.70 is the correct answer.


Ques 9 Flight Mechanics


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).

149.0 to 151.0 is the correct answer.


Ques 10 Flight Mechanics


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).

62.95 to 63.08 is the correct answer.


Ques 11 Fluid Mechanics


Which of the following statements is true about the effect of increase in temperature on dynamic viscosity of water and air, at room temperature?

A

It increases for both water and air.

B

It increases for water and decreases for air.

C

It decreases for water and increases for air.

D

It decreases for both water and air.


Ques 12 Fluid Mechanics


Given access to the complete geometry, surface pressure and shear stress distribution over a body placed in a uniform flow, one can estimate

A

the moment coefficient, and the force on the body.

B

the force coefficient, and the force on the body.

C

the moment coefficient, and the moment on the body.

D

the force and the moment on the body.


Ques 13 Fluid Mechanics


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

A

rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to

B

rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to

C

translate along + y direction with velocity at the line vortex equal to

D

translate along +y direction with velocity at the line vortex equal to


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