Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2017 Questions with Answer

Ques 14 GATE 2017

The value of limx→0 tan(x)/x is


(1) is the correct answer.

Ques 15 GATE 2017

The real part of 6eiπ/3 is


(3) is the correct answer.

Ques 16 GATE 2017

The number of positive roots of the function f(x) shown below in the range 0 < x < 6 is


(3) is the correct answer.

Ques 17 GATE 2017

Let i and j be the unit vectors in the x and y directions, respectively. For the function F(x, y) = x3 + y2 the gradient of the function, i.e., ∇F is given by

A

(A) 3x2i - 2yj

B

(B) 6x2y

C

(C) 3x2i + 2yj

D

(D) 2yi – 3x2j


(c) is the correct answer.

Ques 18 GATE 2017

The marks obtained by a set of students are: 38, 84, 45, 70, 75, 60, 48. The mean and median marks, respectively, are

A

(A) 45 and 75

B

(B) 55 and 48

C

(C) 60 and 60

D

(D) 60 and 70


(c) is the correct answer.

Ques 19 GATE 2017

For the initial value problem dx/dt = sin(t), x(0) = 0 the value of x at t = π/3, is


(0.5) is the correct answer.

Ques 20 GATE 2017

The Laplace transform of a function is s+1 / s(s+2) The initial and final values, respectively, of the function are

A

(A) 0 and 1

B

(B) 1 and 1/2

C

(C) 1/2 and 1

D

(D) 1/2 and 0


(b) is the correct answer.

Ques 21 GATE 2017

Match the problem type in Group-1 with the numerical method in Group-2.

Group-1 Group-2
P) System of linear algebraic equations I) Newton-Raphson
Q) Non-linear algebraic equations II) Gauss-Seidel
R) Ordinary differential equations III) Simpson’s rule
S) Numerical integration IV) Runge-Kutta
Choose the correct set of combinations.

A

(A) P-II, Q-I, R-III, S-IV

B

(B) P-I, Q-II, R-IV, S-III

C

(C) P-IV, Q-III, R-II, S-I

D

(D) P-II, Q-I, R-IV, S-III


(d) is the correct answer.

Ques 22 GATE 2017

A box has 6 red balls and 4 white balls. A ball is picked at random and replaced in the box, after which a second ball is picked. The probability of both the balls being red, rounded to 2 decimal places, is


(0.36) is the correct answer.

Ques 23 GATE 2017

In a venturi meter, ΔP1 and ΔP2 are the pressure drops corresponding to volumetric flowrates Q1 and Q2. If Q2/Q1 = 2, then ΔP2/ΔP1 equals

A

(A) 2

B

(B) 4

C

(C) 0.5

D

(D) 0.25


(b) is the correct answer.

Ques 24 GATE 2017

The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increases, the boundary layer thickness

A

(A) increases

B

(B) decreases

C

(C) initially increases and then decreases

D

(D) initially decreases and then increases


(a) is the correct answer.

Ques 25 GATE 2017

A gas bubble (gas density ρg = 2 kg/m3; bubble diameter D = 10-4 m) is rising vertically through water (density ρ = 1000 kg/m3; viscosity μ = 0.001 Pa.s). Force balance on the bubble leads to the following equation,
dv/dt = (ρ - ρg)g / ρg - 18μv / (ρgD2)
where v is the velocity of the bubble at any given time t. Assume that the volume of the rising bubble does not change. The value of g = 9.81 m/s2. The terminal rising velocity of the bubble (in cm/s), rounded to 2 decimal places, is


(0.54) is the correct answer.

Ques 26 GATE 2017

Oil is being delivered at a steady flowrate through a circular pipe of radius 1.25×10-2 m and length 10 m. The pressure drop across the pipe is 500 Pa. The shear stress at the pipe wall, rounded to 2 decimal places, is


(0.31) is the correct answer.

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