GATE MT kind:question PYQs & Answers — Page 62

Questions 611–620 of 650. Imported answers require independent review unless marked reviewed.

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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For the second order linear ordinary differential equation,

, the following function is a solution:

. Which one of the following statements is NOT TRUE?

Your answerChoose one option.

has two values: one complex and one real

has two real values

has two complex values

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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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and

are the melting points of pure metal A and pure stoichiometric oxide

, respectively, and

. The stoichiometric metal oxidation reaction

is in equilibrium at 1 atm pressure at temperature less than

. If the temperature increases, which schematic represents the correct standard free energy change versus temperature plot?

Your answerChoose one option.

Diagram for Metallurgical Engineering question 31

Diagram for Metallurgical Engineering question 31 (figure 2)

Diagram for Metallurgical Engineering question 31 (figure 3)

Diagram for Metallurgical Engineering question 31 (figure 4)

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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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The Pourbaix plot of the reaction

in potential (E) versus pH diagram is:

Your answerChoose one option.

Diagram for Metallurgical Engineering question 33

Diagram for Metallurgical Engineering question 33 (figure 2)

Diagram for Metallurgical Engineering question 33 (figure 3)

Diagram for Metallurgical Engineering question 33 (figure 4)

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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 kind:question PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35