Engineering Sciences
GATE XE year:2020 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 18
Open questionXE-CNAT2 marksNeeds review
Fe₃O₄ (also represented as FeO·Fe₂O₃) is a FCC structured inverse spinel (AB₂O₄) material where 1/8 of tetrahedral sites are occupied by half of B cations and 1/2 of the octahedral sites are occupied by remaining B and A cations. The magnetic moments of cations on octahedral sites are antiparallel with respect to those on tetrahedral sites. Atomic number of Fe is 26 and that of O is 8. The saturation magnetic moment of Fe₃O₄ per formula unit in terms of Bohr magnets (μB) will be ______ μB. Ignore contribution from orbital magnetic moments.
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A piezoelectric ceramic with piezoelectric coefficient (
) value of
is subjected to a force,
, of 10 N, applied normal to its x-y face, as shown in the figure. If relative dielectric constant (
) of the material is 100, the voltage developed along the z-direction of the sample will be ______ Volts (round-off to two decimal places). Ignore any nonlinear effects.Given: Permitivity of free space (
) is
.
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Silicon carbide (SiC) particles are added to Aluminum (Al) matrix to fabricate particle reinforced Al-SiC composite. The resulting composite is required to possess specific modulus (E/ρ; E: elastic modulus, ρ: density) three times that of pure Al. Assuming iso-strain condition, the volume fraction of SiC particles in the composite will be ______ (round-off to two decimal places).
Material | E (GPa) | ρ (g.cm⁻³) |
|---|---|---|
Al | 69 | 2.70 |
SiC | 379 | 2.36 |
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Isothermal weight gain per unit area (ΔW/A, where ΔW is the weight gain (in mg) and A is the area (in cm²)) during oxidation of a metal at 600 °C follows parabolic rate law, where ΔW/A = 1.0 mg.cm⁻² after 100 min of oxidation. The ΔW/A after 500 min at 600 °C will be ______ mg.cm⁻² (round-off to two decimal places).
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A plain carbon steel sample containing 0.1 wt% carbon is undergoing carburization at 1100 °C in a carbon rich surroundings with fixed carbon content of 1.0 wt% all the time. The carburization time necessary to achieve a carbon concentration of 0.46 wt% at a depth of 5 mm at 1100 °C is ______ hour (round-off to the nearest integer).
Given: Diffusivity of carbon in iron at 1100 °C is 6.0 × 10⁻¹¹ m².s⁻¹.
erf(z) | z |
|---|---|
0.56 | 0.55 |
0.60 | 0.60 |
0.64 | 0.65 |
0.68 | 0.70 |
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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 1
Open questionXE-DMCQ1 markNeeds review
Which among the following statements is true for a body moving on a dry surface under the action of applied forces?
Your answerChoose one option.
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Consider an isotropic material with Young’s modulus E and Poisson’s ratio ν. The bulk modulus of this material is given by ______.
Your answerChoose one option.
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A body subjected to _____ does not undergo change in volume.
Your answerChoose one option.
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The angular momentum of a particle moving under a central force is
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Open questionXE-DMCQ1 markNeeds review
According to Euler-Bernoulli beam theory, which one of the following statements best describes the state of a beam subjected to pure bending?
Your answerChoose one option.
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