GATE PI branch:pi PYQs & Answers — Page 62

Questions 611–620 of 650. Imported answers require independent review unless marked reviewed.

The improper integral

converges to

Your answerChoose one option.

1.0

0.5

2.0

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The local minima of the function

in the range

is located at

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Runge-Kutta fourth order method is used to solve the differential equation

. If the initial value

and step-size is 0.1, then the value of

is __________ (up to three decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two machines are defective in a lot of 10. A combination of four machines is to be picked at a time from the lot. The maximum number of combinations that can be obtained without any defective machine is __________

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The simply-supported beam shown in the Figure is loaded symmetrically using two equal point loads

. The radius of curvature of the deflection-curve is 15 m for the portion of the beam that is subjected to pure bending. The vertical deflection (in mm) at point M, equidistant from both the supports, is __________ (up to two decimal places).

Diagram for Production and Industrial Engineering question 30

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A solid circular shaft is subjected to a bending moment

and torque

simultaneously. Neglecting the effects of stress concentration, the equivalent bending moment is expressed as

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A pair of spur gears with 20° full-depth involute teeth is used to transmit 3.5 kW of power. The pinion rotates at 700 rpm and has pitch circle diameter of 100 mm. Assuming a single pair of teeth in contact, the total force acting on a gear tooth (in kN) is

Your answerChoose one option.

0.347

0.954

1.016

1.302

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A manometer is used for the pressure measurement in a closed tank. The three fluids f1, f2 and f3 have specific weights

and

, respectively. The schematic arrangement with manometric readings and other dimensions are shown in the Figure. In order to ensure zero gauge pressure in the tank at the mid-height level (

), the height

(in m) is __________

Diagram for Production and Industrial Engineering question 33

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A pipeline with variable cross-section contains water with specific weight

N/m

. The flow conditions at two points 1 and 2 on the axis of the pipe are:

bar,

m/s

bar,

m/s

Consider frictional losses to be negligible. For no-flow condition between points 1 and 2 (as shown in Figure), if the height

from the datum is 1 m, then the height

(in m) is __________ (

m/s

)

Diagram for Production and Industrial Engineering question 34

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A reversible heat engine (E) operating in a cycle interacts with three reservoirs 1, 2 and 3 maintained at temperatures

K and

K, respectively. The engine receives 10 kJ of heat from reservoir 1 and rejects 3 kJ to reservoir 3. The net work output,

(in kJ) from the engine is __________

Diagram for Production and Industrial Engineering question 35

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE PI branch:pi PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35