GATE MT format:nat PYQs & Answers — Page 6

Questions 51–60 of 232. Imported answers require independent review unless marked reviewed.

Topic practice 232 questionsPage 6 of 24

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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The following data is obtained from an experiment:

| x | 1 | 2 | 3 | | y | 8 | 15 | 19 |

If the data is fit using the straight line

(where m and c are constants) using the least-squares method, then the value of m is ________. (Round off to one decimal place).

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The integral

evaluates to ________. (Round off to two decimal places)

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If for element A, the formation enthalpy and formation entropy per vacancy created are 0.5 eV and

, respectively, then the equilibrium vacancy concentration (in mole fraction) at 500 K is ________

. (Round off to two decimal places)

Given: Boltzmann constant,

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A steel bar is subjected to fatigue loading with a tensile mean stress. Given that the ultimate tensile strength is 1000

and the fatigue limit under fully reversed loading is 250

, the fatigue limit for a mean stress of 100

, considering Goodman relationship is _____

. (Round off to the nearest integer)

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During carburization of a steel at 950 °C, carbon concentration is measured as 0.8 wt.% at a depth of 0.3

after one hour. The time required to get the same carbon concentration at a depth of 0.6

at the same carburization temperature is _____

. (Round off to the nearest integer).

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An ideal solution is formed by mixing 10

of A and 50

of B at 673

. The molar free energy of mixing ______

. (Round off to one decimal place)

Given: Universal gas constant

Atomic weight of A = 40

Atomic weight of B = 60

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The cupric ion (Cu

) concentration in the electrolyte (at 298

) required to make the potential of pure copper equal to 0.17

is ______

. (Round off to two decimal places).

Gas constant

Faraday’s constant

(of electrons)

Standard reduction potential of Cu,

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GATE MT format:nat PYQs

Question 33

Question 34

Question 35

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57