GATE PI year:2021 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Match the measuring feature with the corresponding measuring instrument in the table below.

Measuring feature	Measuring instrument
P: Flatness error of a surface plate	1: Auto collimator
Q: Profile of a cam	2: Tool maker’s microscope
R: Alignment error of a machine tool slide way	3: Dividing head and dial gauge
S: Pitch and angle errors of screw thread	4: Optical interferometer

Your answerChoose one option.

P-4, Q-1, R-2, S-3

P-1, Q-3, R-4, S-2

P-2, Q-4, R-3, S-1

P-4, Q-3, R-1, S-2

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The frequency of pulsing in a die-sinking electric discharge machine (EDM) is 10 kHz. The pulse off-time is set at 40 micro-seconds. The duty factor at this setting is

Your answerChoose one option.

0.40

0.60

0.67

2.50

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A cantilever beam of length 0.3 m is subjected to a uniformly distributed load

kN/m, as shown in the figure. The bending (flexural) rigidity of the beam is 5000 Nm². Neglecting the self-weight of the beam, the magnitude of beam curvature in m⁻¹ at the fixed end is

Diagram for Production and Industrial Engineering question 13

Your answerChoose one option.

1.10

0.02

0.09

0.05

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A circular rod of length

m is subjected to a compressive load

, as shown in the figure. The bending (flexural) rigidity of the rod is 2000 Nm

. If both ends are pinned, then the critical load

in N (rounded to the nearest integer) at which the rod buckles elastically is

Diagram for Production and Industrial Engineering question 14

Your answerChoose one option.

4935

2000

5167

1238

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Two cylindrical parts of equal length

, as shown in the figure, made of steel having Young’s modulus

GPa and Poisson’s ratio

are press fitted upon one another. If radial interference

mm, and radii

mm and

mm, then the contact pressure

in MPa at the interface upon press fit is

Diagram for Production and Industrial Engineering question 15

Your answerChoose one option.

10.7

60.9

121.9

105.3

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The dimensionless number defined by the ratio of inertial force to viscous force is called

Your answerChoose one option.

Mach number

Froude number

Weber number

Reynolds number

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A small capillary tube of 3 mm inner diameter is inserted into a fluid having density 900 kg/m

, surface tension 0.1 N/m, and contact angle 30°. The rise in the height of fluid in the capillary tube due to surface tension is

Your answerChoose one option.

11.4 mm

128.3 mm

89.1 mm

154.1 mm

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A given steel has identical yield strength of 700 MPa in uni-axial tension and uni-axial compression. If the steel is subjected to pure shear stress such that the three principal stresses are

with

, then the stress

in MPa for the initiation of plastic yielding in the steel as per von Mises yield criterion is ____________. [round off to 2 decimal places]

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A cylindrical mild steel tensile test specimen of gauge length 50 mm and diameter 10 mm is extended in two stages at a deformation speed of 4 mm/min. The specimen is extended from 50 mm to 55 mm in the first stage, and from 55 mm to 60 mm in the second stage. Neglecting elastic deformation, the total longitudinal true strain is ____________. [round off to 2 decimal places]

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A M30 bolt needs to be subjected to pretension

kN. If the torque coefficient

for the bolt is 0.2, then the torque in Nm needed to achieve this pretension is ____________. [in integer]

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GATE PI year:2021 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20