GATE MT kind:question PYQs & Answers — Page 13

Questions 121–130 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 13 of 65

Copper is being electrodeposited from a CuSO

bath onto a stainless steel cathode of total surface area of 2 m

in an electrolytic cell operated at a current density of 200 A m

with a current efficiency of 90%.

The mass of copper deposited in 24 h is _____ kg (rounded off to two decimal places).

Given: Faraday’s constant = 96500 C mol

, atomic mass of copper = 63.5 g mol

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An intrinsic semiconductor has conductivity of 100 Ω

at 300 K and 300 Ω

at 500 K.

The band gap of the semiconductor is _____ eV (rounded off to two decimal places).

Given: Boltzmann constant

= 8.6 × 10

eV K

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For a component fabricated from an alloy A with plane strain fracture toughness,

MPa m

, fracture was observed to take place at a crack length of 0.4 mm at a tensile service stress of σ.

If the same component is instead fabricated from alloy B with

MPa m

, the crack length at which a similar crack geometry will result in fracture (under identical tensile service stress of σ) is _____ mm (rounded off to one decimal place).

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Temperatures at two sides of a 0.4 m thick copper plate are 100 and 500 °C.

Assuming steady state, one-dimensional conductive heat transfer through the wall and ignoring end-effects, the magnitude of the heat flux through the wall is _____ × 10

W m

(in integer).

Given: Thermal conductivity of copper is 400 W m

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In polycrystalline Ni, Nabarro-Herring diffusion creep was found to be the rate controlling creep mechanism at a certain temperature.

At that temperature, if the steady state strain rate is 10

at a stress of 10 MPa, the steady state strain rate of 10

will be obtained at a stress value of _____ MPa (in integer).

Assume that the same creep mechanism is rate controlling during the creep deformation.

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A single crystal BCC metal with a lattice parameter

is subjected to deformation at a shear strain rate of

If the average mobile dislocation density in the single crystal is

, the average dislocation velocity is _____

(rounded off to two decimal places).

Given: Burgers vector

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A cylindrical specimen is subjected to plastic deformation in tension up to a uniform elongation of 10%. The final cross-sectional area of the gage section is found to be 20 mm

The initial cross-sectional area of the gage section is _____ mm

(rounded off to an integer).

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The reaction represented by

follows first order kinetics. At a given temperature, 20% of the reaction is completed in 223 s.

The time taken to complete 50% of the reaction at the same temperature is _____ s (rounded off to the nearest integer).

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A cylindrical Al alloy billet of 300 mm diameter is hot extruded to produce a cylindrical rod of 75 mm diameter at a constant true strain rate (

) of

. The flow stress (

) of the alloy at the extrusion temperature is given by

Assume the alloy is perfectly plastic and there is no temperature rise during the extrusion process.

The ideal plastic work of deformation per unit volume is _____

(rounded off to one decimal place).

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Two consecutive estimates of the root of a function

obtained using the Newton-Raphson method are

and

, and the value of the function at

is 15.

The numerical value of first derivative of the function evaluated at

is _____ (in integer).

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GATE MT kind:question PYQs

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