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Aerospace Engineering Gate 2011 Questions with Answer
Ques 1 GATE 2011
It is seen that the drag polar of a certain aerofoil is symmetric about the Cd axis. This drag polar
could refer to
Ques 2 GATE 2011
The aerodynamic centre of a supersonic aerofoil, with chord c, is located at
Ques 3 GATE 2011
Winglets are used on wings to minimize
Ques 4 GATE 2011
In the context of Prandtl's lifting line theory for a finite wing, which of the following combinations
of statements is TRUE?
P: The bound vortex is responsible for the lift force
Q: The trailing vortices are responsible for the induced drag
R: The bound vortex is responsible for the induced drag
S: The trailing vortices are responsible for the lift force
Ques 5 GATE 2011
Consider flow over a thin aerofoil at Mach number, Mx=0.5 at an angle of attack, a. Using the Prandtl-Glauert rule for compressibility correction, the formula for lift coefficient, cb can be written as
Ques 6 GATE 2011
Prandtl’s lifting line equation for a general wing is given by
where U∞ is the free-stream velocity, α is the angle of attack,
y0 is the spanwise location, αL=0(y0) gives the spanwise variation of zero-lift angle,
c is the chord, b is the span, and Γ(y0) gives the spanwise variation of circulation.
The rate of change of circulation with angle of attack Γα=∂Γ/∂α is
Ques 7 GATE 2011
Prandtl’s lifting line equation for a general wing is given by
where U∞ is the free-stream velocity, α is the angle of attack,
y0 is the spanwise location, αL=0(y0) gives the spanwise variation of zero-lift angle,
c is the chord, b is the span, and Γ(y0) gives the spanwise variation of circulation.
Given that
, the corresponding lift curve-slope is
∂CL/∂α is
Ques 8 GATE 2011
Consider x, y, z to be right-handed Cartesian coordinates. A vector function is defined in this
coordinate system as v=3xi+3xyj-yz2k, where i, j and k are the unit vectors along x, y and
z axes, respectively. The curl of v is given by
Ques 9 GATE 2011
Which of the following functions is periodic?
Ques 10 GATE 2011
The function
f(x1,x2,x3)=x12+x22+x32-2x1-4x2-6x3+14 has its minimum value at
Ques 11 GATE 2011
Consider the function f(x1,x2)=x12+2x22+e-x1-x2 The vector pointing in the direction of
maximum increase of the function at the point (1, -1) is
Ques 12 GATE 2011
Two simultaneous equations given by y=π+x and y=x-π have
Ques 13 GATE 2011
Consider the function f(x)=x-sin(x). The Newton-Raphson iteration formula to find the root of
the function starting from an initial guess x(0) at iteration k is
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