GATE MT purpose:exam-prep PYQs & Answers — Page 58

Questions 571–580 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 58 of 65

A continuous and aligned carbon-fiber composite consists of 25 vol. % of fibers in an epoxy matrix. The Young’s modulus of fiber and matrix, respectively are

and

. If the composite is subjected to longitudinal loading (iso-strain condition and assuming elastic response), the fraction of load borne by the reinforcement is ______ (to two decimal places)

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Pure iron transforms from body centered cubic (BCC) to face centered cubic (FCC) crystal structure at 912 °C. If the lattice parameter of the BCC phase is 0.293 nm and that of the FCC phase is 0.363 nm, the associated volume change is ______ (in % to one decimal place)

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As shown in schematic below, an alloy is cast as a rectangular slab between two thick mould walls that differ in their thermal conductivities. Shrinkage defects are found at a distance L1 from Mould-1 with thermal conductivity

and distance L2 from Mould-2 with thermal conductivity

. If the ratio L1:L2 = 3:2, and assuming 1-D heat transfer, the ratio

is ______ (to two decimal places)

Diagram for Metallurgical Engineering question 43

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The temperature profile (T in Kelvin) of an arc weld across its width is given as

where

(in mm) is the distance from the weld centre. The melting point of the base material is 1500 K. The width of the fusion zone is ______ (in mm to two decimal places).

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The terminal velocity (

) of a spherical inclusion of diameter D = 50 micrometers rise in liquid steel is ______ (in mm s

to two decimal places) Assume Stokes law; i.e., drag force

, where

is the viscosity of steel. Given: Density of liquid steel = 7900 kg m

; Viscosity of liquid steel = 0.0079 Pa s; Density of the inclusion = 2500 kg m

; Acceleration due to gravity = 9.8 m s

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A single crystal of aluminium is subjected to 10 MPa tensile stress along the [321] crystallographic direction. The resolved shear stress on the

slip system is ______ (in MPa to two decimal places)

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If the net magnetic moment of an Fe atom in BCC structure is 2

, then the saturation magnetization of Fe is ______ (kA m

to one decimal place) Given:

; Lattice parameter of BCC iron is 0.287 nm Note: kA is kiloAmperes

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If 2 moles of Au and 3 moles of Ag are mixed to form a single-phase ideal solid solution, the total entropy of mixing is ______ (on J K

to one decimal place) Given: Gas constant R = 8.314 J K

mol

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A spherical liquid metal droplet of diameter 1 mm is solidified in a stream of gas at 300 K. Assuming that the metal droplet remains at its melting point of 900 K and neglecting radiative losses, the time to complete the solidification is ______ (in seconds to one decimal place). Given: The enthalpy of fusion for the metal is 400 kJ kg

; the gas-droplet convective heat transfer coefficient is 200 W m

; Density of liquid metal is 2700 kg m

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At a temperature of 710 K, the vapour pressure of pure liquid Zn is given by:

. The Raoultian activity coefficient (

) of Zn in Zn-Cd alloy liquid at 710 K is approximated by:

. The ratio

for a liquid alloy with

is ______ (to two decimal places).

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GATE MT purpose:exam-prep PYQs

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