GATE MT kind:question PYQs & Answers — Page 45

Questions 441–450 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 45 of 65

The production process of cylindrical pipes results in a statistical scatter in their diameter which is modelled by a normal distribution with a mean value of 10 mm. If the area under the normal curve between 9 mm and 10 mm is 0.35, then the probability of producing pipes of diameter greater than 11 mm is ______ (round off to two decimal places).

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The solution (using trapezoid rule) of the integral

by dividing the range 0 to 1 into two equal intervals is ______ (round off to two decimal places).

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Iron is corroding in fresh water which has dissolved oxygen concentration of 15 mM. The anodic current density at an overpotential of 120 mV is ______ A·cm

(round off to three decimal places).

Given:

Anodic Tafel slope is 0.06 V.

Diffusion coefficient of oxygen is

·s

Diffusion layer thickness is 0.06 cm.

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A metal oxidizes at 1200 K with a parabolic rate constant of

·cm

·s

. Time taken for the oxide film to grow to a thickness of 2 μm is ______ s (round off to two decimal places).

Given, density of oxide is 6.5 g·cm

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Two plates of composition, Fe–10 wt.% Ni and Fe–20 wt.% Cr–5 wt.% Ni are fusion-welded using a filler rod of composition 20 wt.% Ni–80 wt.% Cr. Contribution to dilution of the weld pool is 20% from each plate. The Ni content in the weld pool is ______ wt.% (round off to the nearest integer).

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Figure shows schematic of a venturimeter. The cross sectional area is 100 mm

at A and is 50 mm

at B. If air is flowing through the venturimeter at a flow rate of

·s

, the height H in the air-over-water manometer is ______ mm (round off to the nearest integer).

Assume:

Incompressible flow with no friction losses.

Density of air is 1 kg·m

Density of water is 1000 kg·m

Acceleration due to gravity is 9.8 m·s

Diagram for Metallurgical Engineering question 46

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For effective communition in a ball mill, it is desired that the balls travelling along the mill wall leave the wall at point C and travel freely in air along the path CDA, as shown in the figure. If

is 120°, the rotational speed of the mill is ______ rpm (round off to one decimal place) by performing suitable force balance at point C.

Assume:

There is no slip between the ball and mill wall.

O is the rotational axis of the mill and OB is parallel to the vector

Inner diameter of ball mill is 3.26 m.

Acceleration due to gravity g is 9.8 m·s

Diagram for Metallurgical Engineering question 47

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If liquid copper is cooled to 1353 K, magnitude of the driving force for liquid to transform to solid is ______ J·mol

(round off to one decimal place).

Given, melting temperature and enthalpy of melting of copper are 1356 K and 13 kJ·mol

respectively.

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1000 kg of liquid steel containing 0.03 wt.% S needs to be desulphurized using a slag to bring the sulphur content down to 0.015 wt.%. The quantity of slag needed is ______ kg (round off to the nearest integer).

Assume:

Thermodynamic equilibrium

No sulphur in the slag prior to desulphurization treatment

Given the equilibrium sulphur partition ratio between slag and steel,

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Zone refining of Si results in residual P content of 0.1 parts per billion by weight. The electrical conductivity of this zone refined Si is ______ Ω

·m

(round off to two decimal places).

Given:

Avogadro number is

Density of Si is 2.33 g·cm

Atomic weight of P is 30.97.

Charge of electron is

A·s.

Mobility of electron is 0.2 m

·V

·s

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GATE MT kind:question PYQs

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