Questions 141–150 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 15 of 65

Question 11

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If

and

are independent normally distributed random variables with means

and

, and variances

and

, respectively, then the combination

has mean

and variance

such that
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Question 12

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Which one of the following is the Taylor-series expansion of

about the origin for

?

is a real number.
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Question 13

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Consider the normal (Gaussian) distributions

,

,

shown in the figure.

and

are the standard deviation and mean of distribution

, respectively, and the means are positive. Which one of the following deductions is correct?
Diagram for Metallurgical Engineering question 13

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Question 14

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If in an A-B solid solution, the activity and mole fraction of A are given by

and

, respectively, then the activity coefficient of A is given by
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Question 15

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As shown in the figure, two rods of different metals of equal lengths,

, diameter

(

), and constant thermal conductivities

and

(with

) are connected perfectly (i.e., zero interface thermal resistance). The left and right ends of the connected rod are maintained at temperatures

and

(

). Assume that the rods are insulated from the environment, apart from the two flat ends. Which one of the following graphs represents the temperature distribution at steady-state? The thick line shows the temperature profile. The horizontal axis shows the distance from the left end of the rod to the right and the vertical axis denotes temperature.
Diagram for Metallurgical Engineering question 15

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Question 16

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Match the laws listed in Column I with the corresponding material properties listed in Column II
Column I (P) Hooke’s law (Q) Fick’s law (R) Fourier’s law (S) Darcy’s law
Column II (1) Thermal conductivity (2) Young’s modulus (3) Permeability (4) Diffusivity
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Question 17

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Wet high intensity magnetic separators (WHIMS) are used to concentrate
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Question 18

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Which one of the following reagents is NOT used in froth flotation process?
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Question 19

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Which one of the following reactions is the Boudouard’s reaction? Given: (s): solid, (l): liquid, (g): gas
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Question 20

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Which one of the following processes is NOT related to the extraction and refining of titanium from ilmenite ore?
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