Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2012 Questions with Answer

Ques 27 GATE 2012

The Poisson's ratio, v of most aircraft grade metallic alloys has values in the range:

A

-1≤v≤0

B

0≤v≤0.2

C

0.2≤v≤0.4

D

0.4≤v≤0.5


(c) is the correct answer.

Ques 28 GATE 2012

The integration ∫03x3dx computed using trapezoidal rule with n=4 intervals is


(11.9 to 12.1) is the correct answer.

Ques 29 GATE 2012

The nth derivative of the function y=1/(x+3) is

A

(-1)nn!/(x+3)n+1

B

(-1)n+1n!/(x+3)n+1

C

(-1)n(n+1)!/(x+3)n

D

(-1)nn!/(x+3)n


(a) is the correct answer.

Ques 30 GATE 2012

The volume of a solid generated by rotating the region between semi-circle y=1-√(1-x2) and straight line y=1 about x axis, is

A

π2-4/3π

B

4π2-1/3π

C

π2-3/4π

D

3/4π2-π


(b) is the correct answer.

Ques 31 GATE 2012

One eigenvalue of the matrix One of the other eigenvalues is

A

18.33

B

-18.33

C

18.33-9.33i

D

18.33+9.331


(c) is the correct answer.

Ques 32 GATE 2012

The constraint A2=A on any square matrix A is satisfied for

A

the identity matrix only.

B

the null matrix only.

C

both the identity matrix and the null matrix.

D

no square matrix A.


(c) is the correct answer.

Ques 33 GATE 2012

The general solution of the differential equation d2y/dt2+dy/dt-2y=0 is

A

Ae-t+Be2t

B

Ae-2t+Be-t

C

Ae-2t+Bet

D

Aet+Be2t


(c) is the correct answer.

Ques 34 GATE 2012

The value of k for which the system of equations x+2y+kz=1 2x+ky+8z=3 has no solution is

A

0

B

2

C

4

D

8


(a) is the correct answer.

Ques 35 GATE 2012

If u(t) is a unit step function, the solution of the differential equation n d2x/dt2+kx=u(t) in Laplace domain is

A

1/(s(ms2+k))

B

1/(ms2+k)

C

s/(ms2+k)

D

1/(s2(ms2+k))


(a) is the correct answer.

Ques 36 GATE 2012

The general solution of the differential equation dy/dx-2√y=0 is

A

y-√x+C=0

B

y-x+C=0

C

√y-√x+C=0

D

√y-x+C=0


(d) is the correct answer.

Ques 37 GATE 2012

Air at a stagnation temperature of 15oC and stagnation pressure 100 kPa enters an axial compressor with an absolute velocity of 120 m/s. Inlet guide vanes direct this absolute velocity to the rotor inlet at an angle of 18o to the axial direction. The rotor turning angle is 27o and the mean blade speed is 200 m/s. The axial velocity is assumed constant through the stage.
It is to read this year's textbook the last year's.

A

easier, than

B

most easy, than

C

easier, from

D

easiest.


(a) is the correct answer.

Ques 38 GATE 2012

In an aircraft, constant roll rate can be produced using ailerons by applying

A

a step input.

B

a ramp input.

C

a sinusoidal input.

D

an impulse input.


(d) is the correct answer.

Ques 39 GATE 2012

In an aircraft, the dive manoeuvre can be initiated by

A

reducing the engine thrust alone.

B

reducing the angle of attack alone.

C

generating a nose down pitch rate.

D

increasing the engine thrust alone.


(c) is the correct answer.

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