Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 261–270 of 1772. Imported answers require independent review unless marked reviewed.
Question 64
Open questionXE-CNAT2 marksNeeds review
At 873 K, hydrogen diffuses under steady state condition through a 5 mm thick palladium sheet with a cross-sectional area of 0.3 m
. The concentrations of hydrogen at high and low pressure ends of the sheet are 3 kg m
and 0.5 kg m
, respectively. The amount of hydrogen (in kg per day) passing through the sheet is (rounded off to two decimal places) ____________Given: At 873 K, diffusivity of hydrogen =
m
s
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Open questionXE-CNAT2 marksNeeds review
Corrosion of pure iron takes place in an acidic electrolyte by forming Fe
ions at ambient condition. The corrosion current density is measured to be
A cm
. The corrosion rate (in mm per year) of iron is (rounded off to one decimal place) ____________Given: Atomic weight of iron = 55.85
Density of iron = 7.86 g cm
Consider 365 days in a year
1 Farad = 96500 Coulomb mol
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Open questionXE-DMCQ1 markNeeds review
Consider a spring-mass system with mass m and spring stiffness k as shown in the illustration. At time t=0, the mass is displaced by P units and the velocity of the mass is zero. The displacement of the mass, x(t), is measured from the equilibrium position.
Which one of the following functions represent x(t)?
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
A ball of mass
approaches a stationary ball of mass
with horizontal velocity of 2 m/s from left to right. After a perfectly elastic central collision, the horizontal velocity of the heavier ball is 1 m/s from left to right.Which one of the following statements, regarding the velocity (in m/s) of the lighter ball after impact, is TRUE?
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
The Mohr’s circle corresponding to an infinitesimal element is shown in the figure. The plane PQ in the infinitesimal element, at an angle of
from the x-axis, is in a state of pure shear.Which one of the following values of
(in degrees) is CORRECT? 
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
The two-dimensional state of stress, in an infinitesimal element, is given by
,
and
.Which one of the following options is the maximum shear stress (in MPa) in the element?
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
Two cars P and Q are travelling on a straight path and are 60 m apart as shown in the figure; Car P is moving with a constant velocity of 36 kmph, while car Q is moving at a constant velocity of 18 kmph. At this instant, the driver in car P applies the brake and collision occurs with car Q after 30 seconds.
Assuming uniform deceleration due to braking, which one of the following is the CORRECT velocity (in m/s) of the car P just before the collision?
Your answerChoose one option.
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Open questionXE-DMSQ1 markNeeds review
The natural frequency of a spring-mass system is 10 rad/s.
Which of the following statements is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT1 markNeeds review
Consider a beam with a square box cross-section as shown in the figure. The outer square has a length of 10 mm. The thickness of the section is 1 mm.
The area moment of inertia about the x-axis is _____ mm
(in integer). 
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Open questionXE-DNAT1 markNeeds review
For a certain linear elastic isotropic material, the Young’s modulus is 140 GPa and the shear modulus is 50 GPa.
The Poisson’s ratio for the material is _____ (rounded off up to two decimal places).
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