GATE ME discipline:mechanical-and-production-engineering PYQs & Answers — Page 99

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Questions 981–990 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 99 of 104

Air contains 79% N

and 21% O

on a molar basis. Methane (CH

) is burned with 50% excess air than required stoichiometrically. Assuming complete combustion of methane, the molar percentage of N

in the products is _____________.

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A single-plate clutch has a friction disc with inner and outer radii of 20 mm and 40 mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction

varies radially as

, where

is in m. The clutch needs to transmit a friction torque of 18.85 kN·mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ____________.

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Two black surfaces, AB and BC, of lengths 5 m and 6 m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor

and Stefan Boltzmann constant,

W/(m

), the heat transfer rate from Surface 2 to the surrounding environment is ________ kW.

Diagram for Mechanical Engineering question 37

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The principal stresses at a point in a critical section of a machine component are

MPa,

MPa and

MPa. For the material of the component, the tensile yield strength is

MPa. According to the maximum shear stress theory, the factor of safety is

Your answerChoose one option.

1.67

2.00

3.60

4.00

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Heat is generated uniformly in a long solid cylindrical rod (diameter = 10 mm) at the rate of

W/m³. The thermal conductivity of the rod material is 25 W/m.K. Under steady state conditions, the temperature difference between the centre and the surface of the rod is __________ °C.

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The rod PQ of length

m, and uniformly distributed mass of

kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity,

m/s

. The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (

). At this instant, the magnitude of angular acceleration (in rad/s

) of the rod is ____________.

Diagram for Mechanical Engineering question 38

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An initially stress-free massless elastic beam of length

and circular cross-section with diameter

(

) is held fixed between two walls as shown. The beam material has Young’s modulus

and coefficient of thermal expansion

Diagram for Mechanical Engineering question 39

If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

Your answerChoose one option.

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The arrangement shown in the figure measures the velocity

of a gas of density 1 kg/m

flowing through a pipe. The acceleration due to gravity is 9.81 m/s

. If the manometric fluid is water (density 1000 kg/m

) and the velocity

is 20 m/s, the differential head

(in mm) between the two arms of the manometer is ____________.

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A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area = 100 mm², length = 1 m, Young’s modulus = 100 GPa) from a height

of 10 mm as shown (Figure is not to scale). If

m/s², the maximum compression of the elastic bar is __________ mm.

Diagram for Mechanical Engineering question 40

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A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m

. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ____________.

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GATE ME discipline:mechanical-and-production-engineering PYQs

Question 36

Question 36

Question 37

Question 37

Question 38

Question 38

Question 39

Question 39

Question 40

Question 40