Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 959. Imported answers require independent review unless marked reviewed.
Question 54
Open questionXE-CMCQ2 marksNeeds review
In a cubic crystal, the Burgers vector for a mixed dislocation line is
. The dislocation line lies along the [011] direction. The slip plane of the dislocation 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 55
Open questionXE-CMCQ2 marksNeeds review
Match the Thermodynamic laws in Column I with the description given in Column II.
Column I: P — Zeroth law; Q — First law; R — Second law; S — Third law.
Column II: 1 — Entropy of a perfect crystal at 0 K is zero; 2 — Introduces Entropy; 3 — Defines thermal equilibrium; 4 — Defines internal energy.
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 questionXE-CMCQ2 marksNeeds review
Match the material property in Column I with the measurement technique in Column II.
Column I: P — Electrical conductivity; Q — Band gap energy; R — Young’s modulus; S — Heat of fusion.
Column II: 1 — UV-Vis spectroscopy; 2 — 4-Probe method; 3 — Differential scanning calorimetry; 4 — Acoustic measurement.
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 57
Open questionXE-CMCQ2 marksNeeds review
Which one of the following statements regarding point defects in ionic solids is correct?
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
Two axial members, namely OP and OQ, are pin joined at O as shown in the figure. A force
acts at point P along the positive x direction and a force
acts at point Q along the positive y direction.The resultant of the applied forces makes an angle
(anticlockwise from the positive x-axis).The value of
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
Two smooth drums each weighing
and radius,
are connected by a stiff rope of length,
as shown in the figure. Force
is applied using a massless lever (RS) of length,
. The friction between the drums and the lever (RS) is negligible. The system is in static equilibrium.Which one of the following represents the CORRECT free body diagram of the lever (RS)?
Figures are not to scale.
,
, and
in the options are reaction forces and
is the frictional force. 
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
Identify the zero-force member in the truss structure as shown in the figure.
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
A rigid block of mass
on a horizontal surface is connected to three springs each having spring constant
as shown in the figure.Which one of the following is the CORRECT natural frequency of the system?
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
The force (F) acting on the block, as shown in the figure is 2 N. The stiffness of the spring (k) is 100 N/m.
Assume that the block is in static equilibrium and its mass is negligible.
If the static deflection of the spring (
) is 0.01 m, which one of the following is the corresponding angle (
) in radians? 
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
Which one of the following options is the CORRECT absolute value of the bending moment at R in the frame as shown in the figure?
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