[free]Gate 2022 CE solved paper with explantion pdf forenoon

Below the Gate 2022 Civil Engineering solved question paper(forenoon session ) which were held on 12-02-2022. The total number of questions are 65, 10 from aptitude and 55 from Civil Engineering. Question paper is cover in 7 pages and each page have 10 questions. Question on this page from 11 to 20.

Quick links :

10 questions of Aptitude 55 questions of Civil Engineering

Do you know ? You can check your knowledge by clicking any option with the help of in build practice mode without checking detail solution, while reading gate CE paper . With this know the level of your preparation and make a study plan for it.

Let’s start

Check Sample of detailed explanation in Question 01 and Question 05, So register today without any fee, unlock many feature and content for free. Sign up

Question 11.

Consider the following expression:
$z = sin (y + it) + cos(y - it)$
where $z, y \textrm{ and} \, t$ are variable, and $i = \sqrt {-1}$ is a complex number. The partial differential equation derived from the above expression is

\dfrac{d^2 \textrm{z}}{d \textrm{t}^2} + \dfrac{d^2 \textrm{z}} {d \textrm{y}^2 } = 0

\dfrac{d^2 \textrm{z}}{d \textrm{t}^2} - \dfrac{d^2 \textrm{z}} {d \textrm{y}^2 } = 0

\dfrac{d \textrm{z}}{d \textrm{t}} - i \dfrac{d \textrm{z}} {d \textrm{y} } = 0

\dfrac{d \textrm{z}}{d \textrm{t}} + i \dfrac{d \textrm{z}} {d \textrm{y} } = 0

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

$z = sin (y + it) + cos(y - it)$

Differentiation w.r.t. $y$

$\dfrac{d z} {d \textrm{y}} = cos(y + it) - sin(y - it)$

Formula used : $\frac {d }{d \textrm{x}} sinx = cos x ; \; \frac{d }{d \textrm{x}} cosx = - sinx$

\dfrac {d^2z}{dy^2} = -sin(y + it) - cos(y -it)

${\color {red} \boxed {\color {black} {\dfrac{d^2 z} {dy^2} = -z}}}$ … 1

Differentiation w.r.t. $t$

$\dfrac {d z}{d t} = i cos (y + it) +i sin (y - it)$

$\dfrac {d^2 z} {dt^2} = + sin (y + it) + cos (y - it)$

${\color {red} \boxed {\color {black} {\dfrac{d^2 z} {dt^2} = z}}}$ … 2

Adding 1 and 2 equations, we get

\dfrac {d^2z} {dy^2} + \dfrac{d^2 z} {dt^2} = 0

Correct option is: $\dfrac{d^2 \textrm{z}}{d \textrm{t}^2} + \dfrac{d^2 \textrm{z}} {d \textrm{y}^2 } = 0$

Question 12.

For the equation
$\dfrac {d^3y} {dx^3} + x \left (\dfrac{dy} {dx} \right) ^{ 3/2} + x^2y = 0$
the correct description is

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

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 13.

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

7.5 MPa

15.0 MPa

30.0 MPa

22.5 MPa

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 14.

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

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

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 15.

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

Ca(OH)_2 +

Reactive Super plasticiser

+ H_2O \to

C-S-H

Ca(OH)_2 +

Reactive Silicon dioxide

+ H_2O \to

C-S-H

Ca(OH)_2 +

Reactive Sulphates

+ H_2O \to

C-S-H

Ca(OH)_2 +

Reactive Sulphur

+ H_2O \to

C-S-H

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

Sample , So register today without any fee, unlock many feature and content for free. Sign up

Pozzolanic materials have no cementing properties itself but have the property of combining with lime to produce stable lime pozzolana compound which has cementitious property.

Pozzolana is considered as siliceous and aluminous materials and when added in cement it have SiO₂Al₂O₃ form.

So, Pozzolanic reaction:

$Ca(0H)_2 +$ Reactive silica-di-oxide $+ H_2O \to$ C-S-H gel or tobermonite gel

Correct option is: $Ca(OH)_2 +$ Reactive Super plasticiser $+ H_2O \to$ C-S-H

Learn more : Previous year Gate papers of Civil Engineering with detailed solution

Learn more : GATE 2022 All branches Aptitude Questions with detailed Solution

Question 16.

Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure above. The (x,y) co-ordinates of the points along the center-line of the cross-section are given in the figure.
The co-ordinates of the shear center of this cross-section are:

x =0, y = 3a

x =2a, y = 2a

x =-a, y = 2a

x =-2a, y = a

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 17.

Four different soils are classified as CH, ML, SP and SW, as per the Unified soil classification system.
Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity?

SW, SP, ML, CH

CH, ML, SP. SW

SP, SW, CH, ML

ML, SP, CH, SW

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 18.

Let $\sigma'_v \textrm{and} \sigma'_h$ denote the effective vertical stress and effective horizontal stress, respectively.
Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine’s passive earth pressure condition?

\sigma'_v < \sigma'_h

\sigma'_v > \sigma'_h

\sigma'_v = \sigma'_h

\sigma'_v + \sigma'_h = 0

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Learn more : Gate syllabus for Civil Engineering

Question 19.

With respect to fluid flow, match the following in Column X with Column Y :

Column X Column Y

P . Viscosity 1. Mach number

Q. Gravity 2. Reynolds number

R. Compressibility 3. Euler number

S. Pressure 4. Froude number

Which one of the following combinations is correct?

Column X	Column Y
P . Viscosity	1. Mach number
Q. Gravity	2. Reynolds number
R. Compressibility	3. Euler number
S. Pressure	4. Froude number

P – 2, Q – 4, R – 1, S – 3

P – 3, Q – 4, R – 1, S – 3

P – 4, Q – 2, R – 1, S- 3

P – 2 Q – 4, R – 3, S – 1

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Question 20.

Let $\psi$ represent soil suction head and K represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is TRUE ?

\psi

decreases and K increases.

\psi

increases and k decreases.

Both

\psi

and K decrease.

Both

\psi

and K increase.

Previously Asked in : Gate CE 2022 ||

Detailed Explanation

This content has been restricted to logged-in users only. Please login to view this content.

Please Help us to make it error free. So if you found any kind of error/mistake, do report us by click here or drop a Mail @ admin@civilenggpro.com

Share on

Print Facebook WhatsApp Telegram

Gate 2022 Civil Engineering solved paper with full explanation forenoon session

Consider the following expression:
$z = sin (y + it) + cos(y - it)$
where $z, y \textrm{ and} \, t$ are variable, and $i = \sqrt {-1}$ is a complex number. The partial differential equation derived from the above expression is

Detailed Explanation

For the equation
$\dfrac {d^3y} {dx^3} + x \left (\dfrac{dy} {dx} \right) ^{ 3/2} + x^2y = 0$
the correct description is

Detailed Explanation

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

Detailed Explanation

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

Detailed Explanation

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

Detailed Explanation

Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure above. The (x,y) co-ordinates of the points along the center-line of the cross-section are given in the figure.
The co-ordinates of the shear center of this cross-section are:

Detailed Explanation

Four different soils are classified as CH, ML, SP and SW, as per the Unified soil classification system.
Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity?

Detailed Explanation

Let $\sigma'_v \textrm{and} \sigma'_h$ denote the effective vertical stress and effective horizontal stress, respectively.
Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine’s passive earth pressure condition?

Detailed Explanation

With respect to fluid flow, match the following in Column X with Column Y :

Column X Column Y

P . Viscosity 1. Mach number

Q. Gravity 2. Reynolds number

R. Compressibility 3. Euler number

S. Pressure 4. Froude number

Which one of the following combinations is correct?

Detailed Explanation

Let $\psi$ represent soil suction head and K represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is TRUE ?

Detailed Explanation

Leave a Comment Cancel reply

Consider the following expression: z = sin (y + it) + cos(y - it) where z, y \textrm{ and} \, t are variable, and i = \sqrt {-1} is a complex number. The partial differential equation derived from the above expression is

Detailed Explanation

For the equation \dfrac {d^3y} {dx^3} + x \left (\dfrac{dy} {dx} \right) ^{ 3/2} + x^2y = 0 the correct description is

Detailed Explanation

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

Detailed Explanation

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

Detailed Explanation

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

Detailed Explanation

Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure above. The (x,y) co-ordinates of the points along the center-line of the cross-section are given in the figure.The co-ordinates of the shear center of this cross-section are:

Detailed Explanation

Four different soils are classified as CH, ML, SP and SW, as per the Unified soil classification system.Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity?

Detailed Explanation

Let \sigma'_v \textrm{and} \sigma'_h denote the effective vertical stress and effective horizontal stress, respectively.Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine’s passive earth pressure condition?

Detailed Explanation

With respect to fluid flow, match the following in Column X with Column Y : Column X Column Y P . Viscosity 1. Mach number Q. Gravity 2. Reynolds number R. Compressibility 3. Euler number S. Pressure 4. Froude number Which one of the following combinations is correct?

Detailed Explanation

Let \psi represent soil suction head and K represent hydraulic conductivity of the soil. If the soil moisture content \theta increases, which one of the following statements is TRUE ?

Detailed Explanation

Leave a Comment Cancel reply

Consider the following expression:
$z = sin (y + it) + cos(y - it)$
where $z, y \textrm{ and} \, t$ are variable, and $i = \sqrt {-1}$ is a complex number. The partial differential equation derived from the above expression is

For the equation
$\dfrac {d^3y} {dx^3} + x \left (\dfrac{dy} {dx} \right) ^{ 3/2} + x^2y = 0$
the correct description is

Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure above. The (x,y) co-ordinates of the points along the center-line of the cross-section are given in the figure.
The co-ordinates of the shear center of this cross-section are:

Four different soils are classified as CH, ML, SP and SW, as per the Unified soil classification system.
Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity?

Let $\sigma'_v \textrm{and} \sigma'_h$ denote the effective vertical stress and effective horizontal stress, respectively.
Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine’s passive earth pressure condition?

With respect to fluid flow, match the following in Column X with Column Y :

Column X Column Y

P . Viscosity 1. Mach number

Q. Gravity 2. Reynolds number

R. Compressibility 3. Euler number

S. Pressure 4. Froude number

Which one of the following combinations is correct?

Let $\psi$ represent soil suction head and K represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is TRUE ?