Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2023 Questions with Answer

Ques 27 GATE 2023

Which one of the following is the CORRECT value of 𝑦, as defined by the expression given below?

A

1

B

2

C

0

D

∞


(b) is the correct answer.

Ques 28 GATE 2023

The vector 𝒗 βƒ—βƒ— is defined as

Which one of the following is the CORRECT value of divergence of 𝒗 βƒ—βƒ— , evaluated at the point (π‘₯,𝑦,𝑧)=(3,2,1) ?

A

0

B

3

C

14

D

13


(c) is the correct answer.

Ques 29 GATE 2023

Given that

where 𝑧1=2+3𝑖 and 𝑧2=βˆ’2+3𝑖 with 𝑖=βˆšβˆ’1 , which one of the following options is CORRECT?

A

F<0

B

F<1

C

F>1

D

F=1


(b) is the correct answer.

Ques 30 GATE 2023

For a two-dimensional plane, the unit vectors, (π‘’π‘Ÿ,π‘’πœƒ) of the polar coordinate system and (𝑖,𝑗) of the cartesian coordinate system, are related by the following two equations.

Which one of the following is the CORRECT value of

A

1

B

ΓͺΞΈ

C

Γͺr+ΓͺΞΈ

D

-Γͺr+ΓͺΞΈ


(d) is the correct answer.

Ques 31 GATE 2023

The position x(t) of a particle, at constant ω, is described by the equation:
d2x/dt2 = −ω2x.
The initial conditions are x(t = 0) = 1 and (dx/dt)|t=0 = 0.
The position of the particle at t = (3π/ω) is __________ (in integer).


(-1) is the correct answer.

Ques 32 GATE 2023

An exhibition was held in a hall on 15 August 2022 between 3 PM and 4 PM during which any person was allowed to enter only once. Visitors who entered before 3:40 PM exited the hall exactly after 20 minutes from their time of entry. Visitors who entered at or after 3:40 PM, exited exactly at 4 PM. The probability distribution of the arrival time of any visitor is uniform between 3 PM and 4 PM. Two persons X and π‘Œ entered the exhibition hall independent of each other. Which one of the following values is the probability that their visits to the exhibition overlapped with each other?

A

5/9

B

4/9

C

2/9

D

7/9


(a) is the correct answer.

Ques 33 GATE 2023

Simpson’s one-third rule is used to estimate the definite integral

with an interval length of 0.5. Which one of the following is the CORRECT estimate of 𝐼 obtained using this rule?

A

1/3-1/√3

B

1/3+2/√3

C

1/3+1/√3

D

1/3-2/√3


(b) is the correct answer.

Ques 34 GATE 2023

If a matrix 𝑀 is defined as the sum of all the eigenvalues of 𝑀3 is equal to __________ (in integer).


(13264) is the correct answer.

Ques 35 GATE 2023

The first derivative of the function evaluated at π‘Ÿ=1 is ______ (in integer).


(0) is the correct answer.

Ques 36 GATE 2023

For a packed-bed comprising of uniform-sized spherical particles of diameter 𝐷p, the pressure drop across the bed is given by the Kozeny-Carman equation when the particle Reynolds number (Rep)<1. Under this condition, minimum fluidization velocity is proportional to 𝐷p𝑛. Which one of the following is the CORRECT value of exponent 𝑛 ?

A

2

B

-1

C

-2

D

1


(a) is the correct answer.

Ques 37 GATE 2023

Which one of the following quantities of a flowing fluid is measured using a rotameter?

A

Static pressure

B

Dynamic pressure

C

Volumetric flow rate

D

Viscosity


(c) is the correct answer.

Ques 38 GATE 2023

For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements is/are CORRECT?

A

Reynolds stress, averaged over a sufficiently long time, is zero everywhere inside the pipe.

B

Reynolds stress at the pipe wall is zero.

C

Average velocity of the fluid is half of its center-line velocity.

D

Average pressure gradient in the flow direction is constant.


(b, d) is the correct answer.

Ques 39 GATE 2023

The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter 0.5 mm and length 1.5 m. The fluid flow is laminar, steady and fully developed. For a flow rate of 1 cm3s−1, the pressure drop across the length of the tube is 1 MPa. If the viscosity of the fluid is k × 10−3 Pa.s, the value of k is ___________ (rounded off to two decimal places).


(1.06) is the correct answer.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: