Biomedical Eng. Gate Yearwise 


Biomedical Engineering Gate 2023 Questions with Answer

Ques 40 GATE 2023

Which one of the following vectors is an eigenvector corresponding to the eigenvalue =1 for the matrix A?

A

[1 0 1]T

B

[1 1 0]T

C

[0 1 0]T

D

[0 0 1]T


(a) is the correct answer.

Ques 41 GATE 2023

For the function f(x,y)=excos(y), what is the value of ∂^2f/∂x∂y at (x=0, y=π/2)?

A

0

B

1

C

eπ/2

D

-1


(a) is the correct answer.

Ques 42 GATE 2023

M, L and T correspond to dimensions representing mass, length and time, respectively. What is the dimension of viscosity?

A

M1L-2T-1

B

M1L-1T-1

C

M1L-1T1

D

M1L-2T-2


(b) is the correct answer.

Ques 43 GATE 2023

The time-dependent growth of a bacterial population is governed by the equation
dx/dt=x(1-(x/200)),
where x is the population size at time t. The initial population size is x0=100 at t=0. As t→∞, the population size of bacteria asymptotically approaches _______.

A

150

B

200

C

300

D

500


(b) is the correct answer.

Ques 44 GATE 2023

The function f(Z)=1/(z-1) of a complex variable Z is integrated on a closed contour in an anti-clockwise direction. For which of the following contours, does this integral have a non-zero value?

A

|Z-2|=0.01

B

|Z-1|=0.1

C

|Z-3|=5

D

|Z|=2


(b, d) is the correct answer.

Ques 45 GATE 2023

For the function f(x)=x4-x2, which of the following statements is/are TRUE?

A

The function is symmetric about x=0.

B

The minimum value of the function is -0.5.

C

The function has two minima.

D

The function is an odd function.


(a, b, c) is the correct answer.

Ques 46 GATE 2023

Calculate the reciprocal of the coefficient of z3 in the Taylor series expansion of the function f(z)=sin(z) around z=0. (Provide the answer as an integer.)


(6) is the correct answer.

Ques 47 GATE 2023

For a tissue with Young's modulus of 3.6 kPa and Poisson's ratio of 0.2, what is the value of its shear modulus (in kPa)? (Round off the answer to one decimal place.)


(1.4) is the correct answer.

Ques 48 GATE 2023

A circular disc of radius R (in cm) has a uniform absorption coefficient of 1 cm⁻¹. Consider a single ray passing through the disc in the plane of the disc. The shortest distance from the center of the disc to the ray is t (in cm). If Ii is the intensity of the incident ray and I0 is the intensity of the transmitted ray, then log(Ii/I0) is given by

A

2√(R2-t2)

B

2R

C

1

D

2√(R-t)


(a) is the correct answer.

Ques 49 GATE 2023

A stone is thrown from an elevation of 2 m above ground level, at an angle of 30° to the horizontal axis. If the stone hits the ground at a horizontal distance of 6 m from the point of release, at what speed (in m/s) was the stone thrown? Use g=10 m/s² and assume that there is no air resistance. (Round off your answer to one decimal place.)


(8.0) is the correct answer.

Ques 50 GATE 2023

"I cannot support this proposal. My _______ will not permit it."

A

conscious

B

consensus

C

conscience

D

consent


(c) is the correct answer.

Ques 51 GATE 2023

Courts: Judiciary:: Parliament: _______
(By word meaning)

A

Legislature

B

Executive

C

Governmental

D

Legal


(a) is the correct answer.

Ques 52 GATE 2023

What is the smallest number with distinct digits whose digits add up to 45?

A

123555789

B

123457869

C

123456789

D

99999


(c) is the correct answer.

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