GATE MT 2024 Paper 1 — page 5

Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.

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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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

Your answerChoose one option.

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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

Your answerChoose one option.

Diagram for Metallurgical Engineering question 15 (figure 2)

Diagram for Metallurgical Engineering question 15 (figure 3)

Diagram for Metallurgical Engineering question 15 (figure 4)

Diagram for Metallurgical Engineering question 15 (figure 5)

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2024 · Paper 1

Question 13

Question 14

Question 15