Mechanical Engineering
GATE ME format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 571–580 of 599. Imported answers require independent review unless marked reviewed.
Question 45
Open questionME-2MCQ2 marksNeeds review
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is 2.87 m
and 300 K, respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is 0.5 bar. If the gas constant of air is
J/kg·K and the atmospheric pressure is 1 bar, the mass of air (in kg) in the vessel isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionME-1MCQ2 marksNeeds review
A thin uniform rigid bar of length
and mass
is hinged at point O, located at a distance of
from one of its ends. The bar is further supported using springs, each of stiffness
, located at the two ends. A particle of mass
is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionME-2MCQ2 marksNeeds review
In a counter-flow heat exchanger, water is heated at the rate of 1.5 kg/s from 40 °C to 80 °C by an oil entering at 120 °C and leaving at 60 °C. The specific heats of water and oil are 4.2 kJ/kg·K and 2 kJ/kg·K, respectively. The overall heat transfer coefficient is 400 W/m
·K. The required heat transfer surface area (in m
) isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 47
Open questionME-2MCQ2 marksNeeds review
A metal ball of diameter 60 mm is initially at 220 °C. The ball is suddenly cooled by an air jet of 20 °C. The heat transfer coefficient is 200 W/m
·K. The specific heat, thermal conductivity and density of the metal ball are 400 J/kg·K, 400 W/m·K and 900 kg/m
, respectively. The ball temperature (in °C) after 90 seconds will be approximatelyYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 48
Open questionME-2MCQ2 marksNeeds review
A product made in two factories, P and Q, is transported to two destinations, R and S. The per unit costs of transportation (in Rupees) from factories to destinations are as per the following matrix:
Factory | R | S |
|---|---|---|
P | 10 | 7 |
Q | 3 | 4 |
Factory P produces 7 units and factory Q produces 9 units of the product. Each destination requires 8 units. If the north-west corner method provides the total transportation cost as
(in Rupees) and the optimized (the minimum) total transportation cost is
(in Rupees), then
, in Rupees, isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionME-1MCQ2 marksNeeds review
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below:
N60 G01 X 30 Y 55 Z -5 F50
N70 G02 X 50 Y 35 R 20
N80 G01 Z 5
The coordinates of the centre of the circular arc are:
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionME-1MCQ2 marksNeeds review
Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is 20 μm, the central line average surface roughness
(in μm) is 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionME-2MCQ2 marksNeeds review
A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 54
Open questionME-2MCQ2 marksNeeds review
During the turning of a 20 mm-diameter steel bar at a spindle speed of 400 rpm, a tool life of 20 minute is obtained. When the same bar is turned at 200 rpm, the tool life becomes 60 minute. Assume that Taylor’s tool life equation is valid. When the bar is turned at 300 rpm, the tool life (in minute) is approximately
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 56
Open questionGAMCQ1 markNeeds review
He was one of my best ________ and I felt his loss ________.
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer