GATE MT format:nat PYQs & Answers — Page 22

Questions 211–220 of 232. Imported answers require independent review unless marked reviewed.

Topic practice 232 questionsPage 22 of 24

The second peak in the powder X-ray diffraction pattern of a FCC metal occurs at a Bragg angle θ (in degrees) = __________ (answer up to two decimal places)

(Given: λ_CuKα = 0.154 nm; lattice parameter of the metal = 0.36 nm)

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A rod is elastically deformed by a uniaxial stress resulting in a strain of 0.02. If the Poisson’s ratio is 0.3, the volumetric strain is __________ (answer up to three decimal places)

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A material, which shows power law behavior, σ̄ = 50ε̄^0.3, is being wire drawn. The maximum strain per pass in annealed condition (assume ideal work and efficiency η = 1) is __________ (answer up to two decimal places)

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Assume that the probability of South Africa winning against India is 1/3. If South Africa plays a 3 match cricket series against India, the probability that South Africa wins only one match is __________ (assume that no matches are tied or abandoned) (answer up to three decimal places)

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The function

has a minimum at

__________

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The definite integral,

is to be evaluated numerically. Divide the integration interval into exactly 2 subintervals of equal length. Applying the trapezoidal rule, the approximate value of the integral is __________ (answer up to two decimal places)

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Using the bisection method, the root of the equation

after three iterations is __________ (answer up to two decimal places). (Assume starting values of

and

)

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A continuous cast steel slab, 1 m × 1 m × 0.1 m, at 1298 K cools in air. The initial rate of heat loss (in kW) from the top surface of slab by radiation and convection is __________ (answer up to two decimal places)

Given: (i) Ambient temperature = 298 K, (ii) emissivity of steel = 0.8, (iii) convective heat transfer coefficient = 4.6 W m

, (iv) Stefan-Boltzmann constant (

) =

W m

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During the end blow period in LD steelmaking, the de-carburization rate is expressed by the equation:

. Here,

and

are the instantaneous and equilibrium concentration of carbon in steel respectively, in units of wt.%. Given that

wt.% and

(t = 0 min) = 0.4 wt.%, the concentration of carbon in steel (in wt.%) at t = 1 min is __________ (answer up to three decimal places)

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CaCO

(s) dissociates in a closed system according to the reaction: CaCO

(s) = CaO(s) + CO

(g) Assuming the reaction is in thermodynamic equilibrium, the degree(s) of freedom, F = __________

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GATE MT format:nat PYQs

Question 19

Question 20

Question 22

Question 26

Question 27

Question 28

Question 30

Question 32

Question 34

Question 35