GATE PI 2024 Paper 1 — page 5

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

A uniform cantilever beam of length

and flexural rigidity

is loaded by a force

as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam is

Diagram for Production and Industrial Engineering question 13

Your answerChoose one option.

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A thin copper wire carries electric current and is insulated by putting a sleeve of thickness

, over it. In steady state conditions, the rate of heat loss from the insulated wire per unit length is

. Which of the following is TRUE?

Your answerChoose one option.

increases monotonically with

decreases monotonically with

first increases with increase in

, and then it decreases with further increase in

first decreases with increase in

, and then it increases with further increase in

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The solidification time of a cube and a cylinder of the same material, produced through the same sand casting process, is found to be equal. Each side of the cube is

, and the radius and the length of the cylinder are

and

, respectively. If the solidification time is governed by Chvorinov’s equation, then the ratio

Your answerChoose one option.

1/3

5/12

7/12

5/9

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2024 · Paper 1

Question 13

Question 14

Question 15