GATE MT purpose:exam-prep PYQs & Answers — Page 26

Questions 251–260 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 26 of 65

A thin plate is loaded in plane stress condition with

The maximum principal stress in

is __________ (round off to nearest integer).

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A chimney as shown in the figure requires to have natural draft (pressure difference between the furnace and the bottom of chimney,

) of

Diagram for Metallurgical Engineering question 57

Given: acceleration due to gravity,

Assume densities of air and flue do not change along the chimney height. Neglect frictional energy loss and kinetic energy difference at the bottom and top of the chimney.

If the density difference between the air and flue is

, the minimum height (

) of the chimney in meters is __________ (round off to nearest integer).

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Two circular surfaces A and B with the values of emissivity

, temperature T, and respective view factors are shown in the figure. Consider heat radiation only between surfaces A and B.

Diagram for Metallurgical Engineering question 58

Given: Stefan-Boltzmann constant,

Net heat flow rate by radiation from surface A in kW is __________ (round off to 1 decimal place).

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Copper ore assaying 10 wt.% Cu is fed to a concentration plant at the rate of 100 tons/h. If the grades of concentrate and tailing are 30 wt.% Cu and 1 wt.% Cu, respectively, the percentage recovery of copper in concentrate is __________ (round off to nearest integer).

Given: 1 ton = 1000 kg

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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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GATE MT purpose:exam-prep PYQs

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