GATE XE year:2018 PYQs & Answers — Page 7

Questions 61–70 of 175. Imported answers require independent review unless marked reviewed.

Topic practice 175 questionsPage 7 of 18

When 3 identical non-interacting spin ½ particles are put in an infinite potential well, the ground state energy of the system is 18 meV. If instead, seven particles are put inside the potential well, the new ground state energy is ________ meV.

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If the value of the integral (I) is 4, the value of the constant b is __________ (give answer up to 2 decimal places).

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X-ray diffraction pattern is obtained from FCC polycrystalline aluminum (lattice parameter = 0.405 nm) using Cr-Kα radiation of wavelength 0.229 nm. The maximum number of peaks that can be observed in the pattern is __________.

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The planar atomic density in the (110) plane of a BCC iron crystal is __________ nm⁻² (give answer up to 2 decimal places)

(Given: lattice parameter of iron is 0.287 nm)

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Mild steel is carburized at 1300 K for 1 hour to obtain a certain case depth. Keeping the time as 1 hour, the case depth can be doubled by increasing the temperature to __________K (round off to the nearest whole number)

(Given: Activation energy Q = 148 kJ mol⁻¹, Gas constant, R = 8.314 J mol⁻¹ K⁻¹)

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A thin cylinder (thickness,

and diameter,

) with closed ends is subjected to an internal pressure,

. The ratio of hoop stress to longitudinal stress developed in the wall of the cylinder is

Your answerChoose one option.

1:4

1:2

1:1

2:1

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A steel rod is fixed at one end and free at the other end. The coefficient of thermal expansion of the steel is

, and modulus of elasticity is

. If the temperature of the rod is increased by

then the stress and strain developed in the rod are respectively

Your answerChoose one option.

zero,

, zero

zero, zero

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The effective lengths of the columns with ideal boundary conditions shown in Case-I, Case-II, and Case-III are respectively

Diagram for Engineering Sciences question 3

Your answerChoose one option.

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At a point in a stressed body, sum of the normal stresses acting on perpendicular faces of an arbitrarily oriented plane stress element is always

Your answerChoose one option.

dependent on the angle of orientation of the element

constant and independent of angle of orientation of the element

one half of the sum of the principal stresses

zero

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The principal stresses on a plane stress element are shown in the figure. The maximum shear stress (in MPa) is

Diagram for Engineering Sciences question 5

Your answerChoose one option.

200

100

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GATE XE year:2018 PYQs

Question 18

Question 19

Question 20

Question 21

Question 22

Question 1

Question 2

Question 3

Question 4

Question 5