GATE MT purpose:exam-prep PYQs & Answers — Page 17

Questions 161–170 of 650. Imported answers require independent review unless marked reviewed.

The divergence of the vector field

at the point

is ________. (Round off to the nearest integer)

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The pair-interaction energy between two atoms is given by the following expression:

where

is the interaction energy in eV and

is the interatomic distance in Å. The equilibrium bond-length between the atoms is ________ Å. (Round off to the nearest integer)

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For a solid embryo in contact with a perfectly flat mould wall as shown in the schematic, the wetting angle

is ______ degrees. (Round off to one decimal place.) Given: Surface tension between liquid and mould wall =

; Surface tension between solid and mould wall =

; Surface tension between liquid and solid =

Diagram for Metallurgical Engineering question 33

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A single crystal is oriented such that the normal to the slip plane makes an angle of

with the tensile axis. If the slip direction makes an angle of

with respect to the tensile axis and the critical resolved shear stress for slip is

, then the tensile stress at which plastic deformation commences is ______

. (Round off to one decimal place)

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The extrusion force required to extrude an aluminum rod of cross-sectional area of

to cross-sectional area of

is ______

. (Round off to the nearest integer) Assume that the extrusion constant, which accounts for the flow stress, strain hardening, friction and inhomogeneous deformation, is equal to

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, where

are not identically zero, then the values of

are

Your answerChoose one option.

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, then

Your answerChoose one option.

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As shown in the figure, the right end of a slender, long solid cylindrical metal rod of thermal conductivity

, length

and diameter

(

) is in contact with an infinite liquid heat sink. At steady-state, the temperatures of the right end of the rod and the heat sink are

and

, respectively. If the convection heat transfer coefficient between the liquid heat sink and the right end of the rod is

, then what would be the temperature of the left end of the rod,

, at steady-state? Assume that there is no other heat loss.

Diagram for Metallurgical Engineering question 38

Your answerChoose one option.

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Match the dimensionless numbers listed in Column I with their applications to transport phenomena listed in Column II. Column I: P. Reynolds number; Q. Schmidt number; R. Prandtl number; S. Biot number. Column II: 1. Momentum and mass transfer; 2. Momentum and heat transfer; 3. Convective and conductive heat transfer; 4. Laminar to turbulent flow.

Your answerChoose one option.

P – 4, Q – 1, R – 3, S – 2

P – 3, Q – 2, R – 4, S – 1

P – 4, Q – 1, R – 2, S – 3

P – 2, Q – 3, R – 1, S – 4

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In a cubic lattice, what is the ratio of interplanar spacings of the (100), (110) and (111) planes? (Round off to two decimal places)

Your answerChoose one option.

1 : 0.32 : 0.71

1 : 0.71 : 0.58

1 : 0.58 : 0.71

1 : 0.58 : 0.32

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GATE MT purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40