GATE XE purpose:exam-prep PYQs & Answers — Page 97

Questions 961–970 of 1772. Imported answers require independent review unless marked reviewed.

A certain ceramic has a theoretical density and sintered density of 6.76 g cm

and 6.60 g cm

, respectively. The green compact has 18 volume percent porosity. For a sintered cube of side 2 cm, the required side of the cube green compact in cm is ________ (round off to 2 decimal places)

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When a metal (M) is immersed in de-aerated acid electrolyte, it polarizes anodically by 0.4 V. The M/M

exchange current density is 10

A m

and Tafel slope is 0.1 V/decade for the anodic reaction. Assume that corrosion is uniform and, anodic and cathodic reactions are under activation control. The rate of metal dissolution in A m

is ________ (round off to 1 decimal place)

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A force F = 40 kN is applied on the hook as shown. The equivalent force-couple system at B is

Diagram for Engineering Sciences question 1

Your answerChoose one option.

40 kN in +y direction and M = 0

40 kN in −y direction and M = 0

40 kN in +y direction and M = 400 Nm counter clockwise

40 kN in −y direction and M = 400 Nm clockwise

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A rigid rod OA rotates clockwise at an angular velocity of 10 rad/s. A bead B (OB = 1 m) translates outward on the rod at a speed of 5 m/s and acceleration 2.5 m/s

(both quantities with respect to the rod). The Coriolis component of acceleration is

Diagram for Engineering Sciences question 2

Your answerChoose one option.

2.5 m/s² in +x direction

100 m/s² in +x direction

100 m/s² in −y direction

25 m/s² in +y direction

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A two force member in equilibrium is one in which

Your answerChoose one option.

Forces act at two points and forces are collinear

Forces act at two points and moment is always straight

Forces act at two points but the member is free to carry moment at any point

Force acts at one point and moment acts at second point

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If the yield point shear stress obtained from the torsion test of a cylindrical specimen is τᵧ, then what is the maximum value of principal strain at yielding? (μ is Poisson’s ratio and E is Young’s modulus)

Your answerChoose one option.

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If the ratio of Young’s modulus to bulk modulus of a material is 3/2, then the ratio of shear modulus to the Young’s modulus of the material is

Your answerChoose one option.

2/5

1/3

3/5

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With respect to the plane of maximum shear stress, which of the following statements is INCORRECT?

Your answerChoose one option.

The normal stress on the plane is zero.

The maximum shear stress is equal to the largest of the one half the difference of principal stresses

The plane of maximum shear stress occurs at 45° to the principal planes.

The magnitude of the maximum shear stress is equal to the largest of the radius of the Mohr’s circles.

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A simply supported beam of length L is loaded by two symmetrically applied point loads P at L/3 from each support. Both the loads are then shifted to new points which are at a distance L/4 from each support. The bending moments at the mid-section of the beam in both the cases are same. The magnitude of P1 in terms of P is

Diagram for Engineering Sciences question 7

Your answerChoose one option.

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A beam having rectangular cross section is subjected to transverse loading. The ratio of maximum shear stress developed in the beam to the average shear stress is

Your answerChoose one option.

1.50

1.25

1.33

1.66

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GATE XE purpose:exam-prep PYQs

Question 21

Question 22

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8