Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 221–230 of 959. Imported answers require independent review unless marked reviewed.
Question 56
Open questionXE-CMCQ2 marksNeeds review
Which one of the following curves best represents the E vs.
behavior of the hot end of a metal rod demonstrating Seebeck Effect? (
is the probability of electron occupancy at an energy state
;
is the Fermi energy)Your answerChoose one option.
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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
The engineering stress (σ) vs. engineering strain (ε) curve obtained by conducting uniaxial tension test on a steel specimen is shown in the figure (the sketched curve is not to the scale). The specimen exits cup-and-cone failure within its gage length. Which point on the curve corresponds to the beginning of necking in the test specimen?
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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
An L-shaped rigid member is fixed at the midpoint of a simply-supported beam, as shown in figure (i). The member is subjected to a vertically downward force P at its free end. In an equivalent system, the member along with the applied load is replaced with a force Q = P and a moment M (see figure (ii)). Which of the following statements is correct?
(Negelect the mass of the beam and of the rigid member)
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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
A block of weight W, placed on a surface, is subjected to a horizontal force P as shown in the figure. The line of action of force P passes through the center-of-gravity of the block. The magnitude of P is such that the block remains at rest. If N is the resultant normal reaction exerted by the surface, and F is the frictional force acting on the bottom surface of the block, then which of the following represents the correct free body diagram of the block?
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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 mass M is hung from a frictionless, massless pulley. The pulley is suspended by using an inextensible, massless rope of which one end is directly fixed to a support, and the other end is connected to the support through a linear spring of stiffness constant k (see figure). The natural frequency of this system is
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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 simply-supported beam of rectangular cross-section (width
and height
) is subjected to the loads as shown in the figure (i). The enlarged view of the beam cross-section is shown in figure (ii). The coordinate system is indicated in the figures. Assuming Euler-Bernoulli beam approximation, the shear stress
and normal stress
at the origin, O are respectively given by 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 71
Open questionXE-DMCQ1 markNeeds review
An ice-skater starts spinning during her performance. As she retracts her arms and legs closer to her body, her angular velocity ____________________.
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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 0-45-90 strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges p, q and r are oriented at angles 0°, 45° and 90°, respectively, from the x axis (see figure). The strain readings associated to p, q and r are denoted by
,
, and
, respectively. While conducting a test the strain gauges show the following readings.
The developed engineering shear strain
associated to the strain gauge data is 
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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 rigid bar PQ is hinged at its end P. As shown in the figure, the bar is pin-connected through two identical links QS and RT at points Q and R, respectively. The other ends of the links, S and T, are fixed. Both links are made of the same material. If the temperature of the links is uniformly increased by
, then which one of the following statements is correct? (Neglect the weight of the rigid bar) 
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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
A pin-jointed truss has a pin support at the point E and a roller support at the point F. A horizontal force P is applied at pin H as shown in the figure. Which one of the members is in compression?
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