Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 611–620 of 1772. Imported answers require independent review unless marked reviewed.
Question 64
Open questionXE-CNAT2 marksNeeds review
An electrochemical cell consists of pure Zn electrode (anode) and a hydrogen electrode (cathode) in a dilute Zn²⁺ solution. The overall reaction is:
Zn (s) + 2H⁺ = H₂ + Zn²⁺
If the overall cell potential is +0.690 V, then the value of
is ________ (rounded off to two decimal places)Given: Pressure of hydrogen gas = 1 atm; Temperature = 298 K;
, where R is gas constant and F is Faraday constantThe standard reduction potential of:
Zn²⁺ + 2e = Zn (E° = −0.762 V) versus Standard Hydrogen Electrode
2H⁺ + 2e = H₂ (E° = 0 V)
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Open questionXE-CNAT2 marksNeeds review
In a Raman spectroscopy experiment done at 300 K, a Raman line is observed at 200 cm⁻¹ (~25 meV). The ratio of the intensity of the Stokes line to that of the Anti-Stokes line is __________ (rounded off to two decimal places)
Given: Boltzmann constant, k = 8.62 × 10⁻⁵ eV K⁻¹
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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.
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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.
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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
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.
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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.
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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.
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Open questionXE-DMSQ1 markNeeds review
A spring mass system is shown in the figure below. Take the acceleration due to gravity as
. The static deflection due to weight and the time period of oscillations, respectively, are
Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT1 markNeeds review
A rod is subjected to three forces as shown in the figure on the left. An equivalent force system with forces
,
and moment
is shown in the figure on the right. The value of M (in N-m) is ______ (rounded off to one decimal place).
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Open questionXE-DNAT1 markNeeds review
A simply supported beam of length 3 m is loaded as shown in the figure.
The magnitude of the shear force (in kN) at the mid-point of the beam is______(rounded off to one decimal place).
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