Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2021 Questions with Answer

Ques 27 GATE 2021

A free vortex filament (oriented along the Z-axis) of strength K = 5 m2/s is placed at the origin as shown in the figure. The circulation around the closed loop ABCDEFA for this flow is _______.


(0 to 0) is the correct answer.

Ques 28 GATE 2021

The figure shows a schematic of a set-up for visualization of the non-uniform density field in the test section of a supersonic wind tunnel. This technique of visualization of high-speed flows is known as: _______.

A

schlieren

B

interferometry

C

shadowgraph

D

holography


(c) is the correct answer.

Ques 29 GATE 2021

A shock moving into a stationary gas can be transformed to a stationary shock by a change in reference frame, as shown in the figure. Which of the following is/are true relating the flow properties in the two reference frames?

A

T'1 > T1, T'01 > T01, p'01 > p01, ρ'2 > ρ'1

B

T'1 = T1, T'2 < T01, p'01 > p01, ρ'2 = ρ2

C

T'1 < T1, p'1 > p1, p'01 > p01, ρ'2 > ρ1

D

T'1 = T1, p2 > p01, T'01 > T01, p'01 > p01


(d) is the correct answer.

Ques 30 GATE 2021

A large water tank is fixed on a cart with wheels and a vane (see figure). The wheels of the cart provide negligible resistance for rolling on the fixed support. The cart is tied to the fixed support with a thin horizontal rope. There is a hole of diameter 5 cm on the side of the tank through which a jet of constant velocity of 10 m/s emerges. The jet of water is deflected by the attached vane by 60° (see figure). Assume that the jet velocity remains constant at 10 m/s after emerging from the vane. Take the density of water to be 1000 kg/m3. The tension in the connecting rope is _______ N. (round off to one decimal place)


(98.0 to 98.5) is the correct answer.

Ques 31 GATE 2021

Consider a model of a boundary layer with the following velocity profile:

The shape factor, defined as the ratio of the displacement thickness to the momentum thickness, for this profile is _______. (round off to 2 decimal places)


(4.8 to 5.2) is the correct answer.

Ques 32 GATE 2021

For the state of stress as shown in the figure, what is the orientation of the plane with maximum shear stress with respect to the X-axis?

A

45°

B

-45°

C

22.5°

D

-22.5°


(d) is the correct answer.

Ques 33 GATE 2021

Let V_TAS be the true airspeed of an aircraft flying at a certain altitude where the density of air is ρ, and V_EAS be the equivalent airspeed. If ρ_0 is the density of air at sea-level, what is the ratio V_TAS/V_EAS equal to?

A

ρ/ρ_0

B

ρ_0/ρ

C

√(ρ_0/ρ)

D

√(ρ/ρ_0)


(c) is the correct answer.

Ques 34 GATE 2021

C_m - α variation for a certain aircraft is shown in the figure. Which one of the following statements is true for this aircraft?

A

The aircraft can trim at a positive α and it is stable.

B

The aircraft can trim at a positive α, but it is unstable.

C

The aircraft can trim at a negative α and it is stable.

D

The aircraft can trim at a negative α, but it is unstable.


(b) is the correct answer.

Ques 35 GATE 2021

(i) Arun and Aparna are here.
(ii) Arun and Aparna is here.
(iii) Arun's families is here.
(iv) Arun's family is here.
Which of the above sentences are grammatically CORRECT?

A

(i) and (ii)

B

(i) and (iv)

C

(ii) and (iv)

D

(iii) and (iv)


(b) is the correct answer.

Ques 36 GATE 2021

The mirror image of the above text about the X-axis is _______.

A

B

C

D


(b) is the correct answer.

Ques 37 GATE 2021

Two identical cube-shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is: _______.

A

1/36

B

1/12

C

1/8

D

1/4


(d) is the correct answer.

Ques 38 GATE 2021

⊕ and ⊙ are two operators on numbers p and q such that
p ⊙ q = p - q, and p ⊕ q = p x q.
Then, (9 ⊙ (6 ⊕ 7)) ⊙ (7 ⊕ (6 ⊙ 5)) = _______.

A

40

B

-26

C

-33

D

-40


(d) is the correct answer.

Ques 39 GATE 2021

Four persons P, Q, R, and S are to be seated in a row. R should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: _______.

A

6

B

9

C

18

D

24


(c) is the correct answer.

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