Engineering Sciences
GATE XE year:2023 PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 175. Imported answers require independent review unless marked reviewed.
Question 61
Open questionXE-CNAT2 marksNeeds review
The Young’s modulus of a quartz piezoelectric crystal is 100 GPa. The uniaxial stress required to change its polarization by 1% is (give absolute value in GPa) ________ (rounded off to nearest integer)
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Open questionXE-CNAT2 marksNeeds review
A one-dimensional nanowire has a linear electron density of
. The Fermi energy of the system is (in eV) ______ (rounded off to two decimal places)Given:
where ‘m’ is the mass of an electronLog in to check the answer
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Open questionXE-CNAT2 marksNeeds review
Two moles of a monoatomic ideal gas at 10 atm and 300 K is expanded isothermally and reversibly to a pressure of 2 atm. The absolute value of work done by the system is (in kJ) __________ (rounded off to two decimal places)
Given: R = 8.31 J mol⁻¹ K⁻¹, 1 atm = 101 kPa
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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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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, 
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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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