GATE CE year:2022 PYQs & Answers — Page 3

Questions 21–30 of 130. Imported answers require independent review unless marked reviewed.

Consider the following expression:

where

, and

are variables, and

is a complex number. The partial differential equation derived from the above expression is

Your answerChoose one option.

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The function

satisfies the Laplace equation

on a circular domain of radius

with its center at point

with coordinates

. The value of this function on the circular boundary of this domain is equal to 3.

The numerical value of

is:

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For the equation

the correct description is

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an ordinary differential equation of order 3 and degree 2.

an ordinary differential equation of order 3 and degree 3.

an ordinary differential equation of order 2 and degree 3.

an ordinary differential equation of order 3 and degree 3/2.

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is equal to

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The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

Your answerChoose one option.

7.5 MPa

15.0 MPa

30.0 MPa

22.5 MPa

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For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity (

), Poisson’s ratio (

), and shear modulus (

) is

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In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

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Young’s modulus of elasticity of reinforcement material to Young’s modulus of elasticity of concrete.

Young’s modulus of elasticity of concrete to Young’s modulus of elasticity of reinforcement material.

shear modulus of reinforcement material to the shear modulus of concrete.

Young’s modulus of elasticity of reinforcement material to the shear modulus of concrete.

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Read the following statements relating to flexure of reinforced concrete beams:

I. In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel.

II. In under-reinforced sections, steel reaches yielding at a load lower than the load at which the concrete reaches failure strain.

III. Over-reinforced beams are recommended in practice as compared to the under-reinforced beams.

IV. In balanced sections, the concrete reaches failure strain earlier than the yield strain in tensile steel.

Each of the above statements is either True or False.

Which one of the following combinations is correct?

Your answerChoose one option.

I (True), II (True), III (False), IV (False)

I (True), II (True), III (False), IV (True)

I (False), II (False), III (True), IV (False)

I (False), II (True), III (True), IV (False)

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Which of the following equations is correct for the Pozolanic reaction?

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Ca(OH)₂ + Reactive Superplasticiser + H₂O → C-S-H

Ca(OH)₂ + Reactive Silicon dioxide + H₂O → C-S-H

Ca(OH)₂ + Reactive Sulphates + H₂O → C-S-H

Ca(OH)₂ + Reactive Sulphur + H₂O → C-S-H

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Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):

Column X	Column Y
(i) C₃S	(P) Early age strength
(ii) C₂S	(Q) Later age strength
(iii) C₃A	(R) Flash setting
	(S) Highest heat of hydration
	(T) Lowest heat of hydration

Which one of the following combinations is correct?

Your answerChoose one option.

(i) - (P), (ii) - (Q) and (T), (iii) - (R) and (S)

(i) - (Q) and (T), (ii) - (P) and (S), (iii) - (R)

(i) - (P), (ii) - (Q) and (R), (iii) - (T)

(i) - (T), (ii) - (S), (iii) - (P) and (Q)

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GATE CE year:2022 PYQs

Question 11

Question 11

Question 12

Question 12

Question 13

Question 13

Question 14

Question 14

Question 15

Question 15