Mechanical Engineering Gate 2022 Set-2 Questions with Answer

Ques 14 GATE 2022 SET-2


A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figure. Gravitational acceleration is represented by 𝑔. The volume flow rate through the tube is ______.

A

π/4 D²V

B

π/4 D²√2gh

C

π/4 D²√2g(h1 + h2)

D

π/4 D²(√V² − 2gh)


(a) is the correct answer.

Ques 15 GATE 2022 SET-2


The steady velocity field in an inviscid fluid of density 1.5 is given to be V = (y² − x²)i + (2xy)j. Neglecting body forces, the pressure gradient at (x = 1, y = 1) is __________.

A

10j

B

20i

C

−6i − 6j

D

−4i − 4j


(c) is the correct answer.

Ques 16 GATE 2022 SET-2


Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality 2 − 5x ≤ −(6x-5)/3 on the real number line?

A

B

C

D


() is the correct answer.

Ques 17 GATE 2022 SET-2


Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other?

A

B

C

D


(b) is the correct answer.

Ques 18 GATE 2022 SET-2


Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?

A

2 : 3

B

1 : 1

C

3 : 2

D

2 : 1


(c) is the correct answer.

Ques 19 GATE 2022 SET-2


Which of the following non-dimensional terms is an estimate of Nusselt number?

A

Ratio of internal thermal resistance of a solid to the boundary layer thermal resistance

B

Ratio of the rate at which internal energy is advected to the rate of conduction heat transfer

C

Non-dimensional temperature gradient

D

Non-dimensional velocity gradient multiplied by Prandtl number


(b) is the correct answer.

Ques 20 GATE 2022 SET-2


In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is ωH = 5 rad/s. Given the dimensions as shown, the magnitude of the angular velocity ωH of the 4 cm long link is given by _____ rad/s (round off to 2 decimal places).

A

a

B

a

C

a

D

a


() is the correct answer.

Ques 21 GATE 2022 SET-2


An electric car manufacturer underestimated the January sales of car by 20 units, while the actual sales were 120 units. If the manufacturer uses exponential smoothing method with a smoothing method with a smoothing constant of α = 0.2, then the sales forecast for the month of February of the same year is ___________ units (in integer).


(a) is the correct answer.

Ques 22 GATE 2022 SET-2


A shaft of diameter is assembled in a hole of diameter . Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft-hole assembly.

A

P-3, Q-1, R-4

B

P-1, Q-3, R-2

C

P-1, Q-3, R-4

D

P-3, Q-1, R-2


(a) is the correct answer.

Ques 23 GATE 2022 SET-2


Which one of the following CANNOT impart linear motion in a CNC machine?

A

Linear motor

B

Ball screw

C

Lead screw

D

Chain and sprocket


(d) is the correct answer.

Ques 24 GATE 2022 SET-2


Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, ts ∝ V/A, where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?

A

a/3

B

a/2

C

a/4

D

a/6


(b) is the correct answer.

Ques 25 GATE 2022 SET-2


Which of these processes involve(s) melting in metallic workpieces?

A

Electrochemical machining

B

Electric discharge machining

C

Laser beam machining

D

Electron beam machining


(c) is the correct answer.

Ques 26 GATE 2022 SET-2


Parts P1-P7 are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required for carrying out both the operations for all 7 parts is __________ hours.

A

31

B

33

C

30

D

32


(c) is the correct answer.

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