Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 311–320 of 959. Imported answers require independent review unless marked reviewed.
Question 56
Open questionXE-CMCQ2 marksNeeds review
TTT diagram of a eutectoid steel is shown below. Match the heat treatment cycle (in Column I) with its microstructure (in Column II).
Column I: P, Q, R (cycles indicated in the diagram). Column II: 1. Bainite only; 2. Pearlite only; 3. Pearlite + Bainite + Martensite; 4. Pearlite + Martensite.
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 66
Open questionXE-DMCQ1 markNeeds review
A plane truss is simply supported at P and R as shown. A downward force F is applied at hinge Q. The axial force developed in member PS 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 67
Open questionXE-DMCQ1 markNeeds review
A massless rigid rod OP of length L is hinged frictionlessly at O. A concentrated mass m is attached to end P of the rod. Initially, the rod OP is horizontal. Then, it is released from rest. There is gravity as shown. The rod acquires an angular velocity as it swings. The clockwise angular velocity of the rod, when it first reaches the vertical position as shown, 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 68
Open questionXE-DMCQ1 markNeeds review
Two equivalent descriptions of the state of stress at a point are shown in the figure. The normal stresses
and
as shown on the right must be, respectively, 
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 69
Open questionXE-DMCQ1 markNeeds review
The state of strain at a point in a machine component is given as
. The volumetric strain at this point 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 70
Open questionXE-DMCQ1 markNeeds review
A thin walled, closed cylindrical vessel of inside diameter
and wall thickness
contains a fluid under pressure
. The figure below shows a part of the cylindrical vessel; end caps are not shown. Consider the small element shown with sides parallel and perpendicular to the axis of the cylinder. The stresses
and
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 75
Open questionXE-DMCQ2 marksNeeds review
A solid uniform rigid disk of mass
and radius
rolls without slipping along a horizontal surface PQ. The speed of the center of the disk is
. The disk then strikes a hurdle of height
at point S. During the impact, there is no rebound or slip at S and no impulse from the surface PQ. The magnitude of the velocity of the center of the disk immediately after the impact 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 76
Open questionXE-DMCQ2 marksNeeds review
A cylinder made of rubber (length = L and diameter = d) is inserted in a rigid container as shown in the figure. The rubber cylinder fits snugly in the rigid container. There is no wall friction. The modulus of elasticity of the rubber is E and its Poisson’s ratio is
. The cylinder is subjected to a small uniform pressure
as shown in the figure. The resulting axial strain (
) 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 77
Open questionXE-DMCQ2 marksNeeds review
The state of stress at the critical location in a structure is
,
,
. The yield stress for the material in uniaxial tension is 400 MPa. Select the correct statement among the following.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 78
Open questionXE-DMCQ2 marksNeeds review
The figure shows a column of rectangular cross section 100 mm × 80 mm. It carries a load of 60 kN at a point 30 mm from the edge P Q. The values of stress component
on surfaces
and
, at points far away from both ends of the column, are respectively 
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