GATE ME format:mcq PYQs & Answers — Page 28

Questions 271–280 of 599. Imported answers require independent review unless marked reviewed.

An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate of

to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes

. The ratio

Your answerChoose one option.

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A plane truss

(

and

) is shown in the figure. The forces in the members

and

, respectively, are

Diagram for Mechanical Engineering question 14

Your answerChoose one option.

(tensile) and

(tensile)

(tensile) and

(compressive)

(compressive) and

(compressive)

(tensile) and

(tensile)

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The relative humidity of ambient air at 300 K is 50% with a partial pressure of water vapour equal to

. The saturation pressure of water at 300 K is

. The correct relation for the air-water mixture is

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Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground.

Diagram for Mechanical Engineering question 15

Select the correct statement about instantaneous centers in the mechanism.

Your answerChoose one option.

Only points

, and

are instantaneous centers of mechanism

Only points

and

are instantaneous centers of mechanism

Only points

, and

are instantaneous centers of mechanism

All points

and

are instantaneous centers of mechanism

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Consider a reciprocating engine with crank radius

and connecting rod of length

. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of ______

Your answerChoose one option.

radius

rotating at half the engine speed

radius

rotating at half the engine speed

radius

rotating at twice the engine speed

radius

rotating at twice the engine speed

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The controlling force curves P, Q and R for a spring controlled governor are shown in the figure, where

and

are any two radii of rotation.

Diagram for Mechanical Engineering question 16

The characteristics shown by the curves are

Your answerChoose one option.

P – Unstable; Q – Stable; R – Isochronous

P – Unstable; Q – Isochronous; R – Stable

P – Stable; Q – Isochronous; R – Unstable

P – Stable; Q – Unstable; R – Isochronous

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A cantilever beam of length,

, and flexural rigidity,

, is subjected to an end moment,

, as shown in the figure. The deflection of the beam at

Diagram for Mechanical Engineering question 17

Your answerChoose one option.

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The von Mises stress at a point in a body subjected to forces is proportional to the square root of the

Your answerChoose one option.

total strain energy per unit volume

plastic strain energy per unit volume

dilatational strain energy per unit volume

distortional strain energy per unit volume

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A prismatic bar

is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are

Diagram for Mechanical Engineering question 18

Your answerChoose one option.

and

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Value of

using Simpson’s one-third rule with interval size 0.3 is

Your answerChoose one option.

1.83

1.60

1.51

1.06

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GATE ME format:mcq PYQs

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Question 18