GATE MT format:nat PYQs & Answers — Page 9

Questions 81–90 of 232. Imported answers require independent review unless marked reviewed.

Topic practice 232 questionsPage 9 of 24

Diffraction pattern of a polycrystalline BC metal is obtained using monochromatic X-rays of wavelength 0.25 nm. If the first peak occurs at Brag angle (

) of 30°, then the radius of the metal atom in nm is __________ (round off to 2 decimal places).

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The alloy A (given in the phase diagram) is cooled slowly from the liquid state to just below the eutectic temperature.

Diagram for Metallurgical Engineering question 61

The ratio of weight fractions of pro-eutectic

to eutectic

is __________ (round off to 1 decimal place).

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In an aqueous solution of Fe

ions with concentration of

M at 298 K and atmospheric pressure, the reduction potential of Fe in volt is __________ (round off to 2 decimal places).

Given: Standard reduction potential,

Faraday’s constant, F = 96500 C per mole of electrons Universal gas constant, R = 8.314

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Strain hardening behavior of an alloy is given by

, where

and

are true stress and true strain, respectively. The alloy is cold drawn to an unknown amount of strain, followed by tensile testing. If the tensile test showed 10 % reduction in area at maximum load, the unknown amount of strain from prior cold work is __________ (round off to 2 decimal places).

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A specimen containing maximum initial surface crack of size 1.5 mm is subjected to cyclic loading with

and

. Assuming specimen geometric factor of 1, and referring to the given figure, the crack growth rate in

m cycle

is __________ (round off to nearest integer).

Diagram for Metallurgical Engineering question 64

Given: N = number of cycles a = crack length R = stress ratio

= stress intensity range

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A 200 mm thick slab is rolled using 500 mm diameter rolls under cold rolling and hot rolling conditions, separately. The coefficient of friction is 0.04 in cold rolling and 0.4 in hot rolling. The ratio of maximum possible thickness reduction in cold rolling to that in hot rolling is __________ (round off to 2 decimal places).

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A set of observations with normal distribution of error as ±1.96σ (where σ is standard deviation) is equivalent to the confidence interval of _______% (round off to the nearest integer).

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A Newtonian incompressible liquid is contained between two parallel metal plates separated by

m (see figure). A stress of 5 Pa is required to maintain the upper plate in motion with a constant speed of 2 m·s

in the horizontal direction relative to the bottom plate.

The viscosity of liquid contained between the plates is _______ ×

Pa·s (answer rounded off to 1 decimal place).

Diagram for Metallurgical Engineering question 35

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From high temperature tensile test, the flow stress (measured at the same value of strain) of an alloy was found to be 50 MPa at a strain rate of

and 70 MPa at a strain rate of

. The strain rate sensitivity parameter is ______ (round off to 3 decimal places).

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A spherical gas bubble of radius 0.01 mm is entrapped in molten steel held at 1773 K. If the pressure outside the bubble is 1.5 bar, the pressure inside the bubble is ______ bar (round off to 1 decimal place).

Given: 1 bar =

Pa and the surface tension of the steel at 1773 K is

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GATE MT format:nat PYQs

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 34

Question 35

Question 46

Question 47