GATE ME year:2025 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as

Use the coefficient of friction as 0.12

Your answerChoose one option.

feasible and 3.6

NOT feasible and 2.6

feasible and 3.0

NOT feasible and 6.0

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The system shown in the figure below consists of a cantilever beam (with flexural rigidity

and negligible mass), a spring (with spring constant

and negligible mass) and a block of mass

. Assuming a lumped parameter model for the system, the fundamental natural frequency (

) of the system is

Diagram for Mechanical Engineering question 42

Your answerChoose one option.

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The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A component made of this steel is loaded in tension and unloaded periodically. It is required that the component does NOT fail for at least

loading cycles, as per the Soderberg law. Considering a factor of safety of 2, the maximum applied tensile principal stress is

Your answerChoose one option.

one-fourth of the endurance limit

half of the endurance limit

the endurance limit

twice the endurance limit

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For a fully-developed pipe flow, which of the following options is/are correct?

Your answerSelect all correct options. You can choose more than one.

For the same maximum velocity, the average velocity is higher in the turbulent regime than that of the laminar regime

Compressibility effects are important if Mach number is less than 0.3

For laminar flow, the friction factor is independent of surface roughness

For laminar flow, friction factor decreases with decrease in Reynolds number

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is the unit circle in the complex plane with its center at the origin, then the value of

in the equation given below is __________ (rounded off to 1 decimal place).

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The directional derivative of the function

given below at the point

in the direction of

is __________ (rounded off to 1 decimal place).

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Let

be the solution of the differential equation with the initial conditions given below. If

, then the value of

is __________ (rounded off to 2 decimal places).

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Consider a cylindrical furnace of 5 m diameter and 5 m length with bottom, top and curved surfaces maintained at uniform temperatures of 800 K, 1500 K and 500 K, respectively. The view factor between the bottom and top surfaces,

is 0.2. The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is __________ kW (rounded off to 1 decimal place). All surfaces of the furnace can be assumed as black. The Stefan-Boltzmann constant,

Diagram for Mechanical Engineering question 48

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A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is 1.23 kg m

while the density of water is 1000 kg m

. For the manometer reading of

mm of mercury, the speed of air in the wind tunnel is __________ m s

(rounded off to 1 decimal place). Assume: Specific gravity of mercury =13.6. Acceleration due to gravity = 10 m s

Diagram for Mechanical Engineering question 49

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Consider a velocity field

, where

is a constant. If the flow is irrotational, the value of

is __________ (rounded off to 1 decimal place).

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GATE ME year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50