GATE XE discipline:engineering-sciences PYQs & Answers — Page 113

Questions 1121–1130 of 1772. Imported answers require independent review unless marked reviewed.

Find the correct match between polymer name in Column I and the monomer type in Column II.

Column I (I) Polyethylene (II) Polypropylene (III) Polyvinyl chloride (IV) Polystyrene

Column II (P) alkene with H and CH₃ substituents (Q) alkene with H and Cl substituents (R) alkene with H and C₆H₅ substituents (S) alkene with H substituents

Diagram for Engineering Sciences question 6

Your answerChoose one option.

I-P, II-S, III-R, IV-Q

I-R, II-Q, III-S, IV-P

I-S, II-P, III-Q, IV-R

I-S, II-R, III-Q, IV-P

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A ceramic has a fracture toughness (Kᵢc) of 1 MPa·m¹ᐟ². If this ceramic is to be exposed to a maximum stress (σ) of 200 MPa, the maximum value of half crack length ‘a’ (in micrometer, μm), below which the material does not fail, is ______ μm (round off to one decimal place). Loading condition for the sample is shown in the schematic. Assume geometrical factor f = 1.2.

Diagram for Engineering Sciences question 7

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A ceramic material is periodically heated and cooled between 25°C and a higher temperature, Tf. During thermal cycling, the material remains dimensionally constrained. The material can withstand a maximum compressive stress of 200 MPa without failure. Material’s coefficient of thermal expansion is 7.5×10⁻⁶ °C⁻¹ and modulus of elasticity (E) is 200 GPa. The lowest value of Tf (in °C) at which material will fail is ______ °C (round-off to the nearest integer). Assume that there is no plastic deformation during the thermal cycling.

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During homogeneous solidification of a liquid metal, the radius of critical nucleus (in nanometer, nm) at a temperature Ts which is below the melting point (Tm), is ______ nm (round-off to one decimal place). Given that γsl (solid liquid interfacial energy) is 0.18 J.m⁻² and ΔGv (change in volume free energy upon transformation from liquid to solid) at Ts is 0.18 × 10⁹ J.m⁻³.

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Read the two statements related to sintering and select the correct option.

Statement-1: Sintering in vacuum leads to improved densification as compared to sintering under ambient (at atmospheric pressure) condition.

Statement-2: Closed pores formed during sintering inhibit full densification.

Your answerChoose one option.

Both Statement-1 and Statement-2 are FALSE

Both Statement-1 and Statement-2 are TRUE

Statement-1 is TRUE but Statement-2 is FALSE

Statement-1 is FALSE but Statement-2 is TRUE

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Select the correct option that appropriately matches the process to the material/product that can be fabricated using them.

Process (I) Powder processing (II) Spin coating (III) Czochralski process (IV) Chemical vapor deposition

Material/Product (P) Organic semiconductor thin films (Q) Single crystal silicon (R) Poly-silicon (S) Porous bronze bearings

Your answerChoose one option.

I-S, II-P, III-R, IV-Q

I-S, II-R, III-Q, IV-P

I-S, II-P, III-Q, IV-R

I-P, II-R, III-Q, IV-S

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Consider a FCC structured metal with lattice parameter a = 3.5 Å. If the material is irradiated using X-rays of wavelength λ = 1.5405 Å, the Bragg angle (2θ) corresponding to the fourth reflection will be:

Your answerChoose one option.

88.21°

76.99°

99.35°

93.80°

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The number of Schottky defects per mole of KCl at 300 °C under equilibrium condition will be:

Given: Activation energy for the formation of Schottky defect = 250 kJ.mol⁻¹ Avogadro number = 6.023 × 10²³ mol⁻¹ Universal Gas Constant = 8.314 J.K⁻¹.mol⁻¹

Your answerChoose one option.

1.21 × 10¹⁸

1.52 × 10¹⁶

9.75

2.42 × 10¹²

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In an industry, the probability of an accident occurring in a given month is 1/100. Let P(n) denote the probability that there will be no accident over a period of ‘n’ months. Assume that the events of individual months are independent of each other. The smallest integer value of ‘n’ such that P(n) ≤ 1/2 is ______ (round off to the nearest integer).

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For a FCC metal, the ratio of surface energy of surface to surface is ______ (round-off to two decimal places). Assume that only the nearest neighbor broken bonds contribute to the surface energy.

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GATE XE discipline:engineering-sciences PYQs

Question 6

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Question 15