Biomedical Eng. Gate Yearwise 


Biomedical Engineering GATE 2024 Questions with Answer

Ques 40 Biomedical Signals and Systems

The input x(t) and the output y(t) of a linear time invariant system are related as follows:
y(t)+(dy(t)/dt)+0.5(d^2y(t)/dt^2)=x(t)+0.1(dx(t)/dt)
What is the Laplace transform of the impulse response of the system?

A

(0.5s^2+s+1)/(0.1s+1)

B

(0.1s+1)/(0.5s^2+s+1)

C

(0.1s+s^2)/(s^2+s+0.5)

D

(s^2+s+0.5)/(0.1s^2+s)


Ques 41 Biomedical Signals and Systems

Match the different chambers/locations of a healthy human heart in Column-1 to the ranges of diastolic pressures in Column-2.

A

(P) - (II), (Q) - (III), (R) - (I)

B

(P) - (II), (Q) - (I), (R) - (III)

C

(P) - (III), (Q) - (II), (R) - (I)

D

(P) - (III), (Q) - (I), (R) - (II)


Ques 42 Biomedical Signals and Systems

Which one of the following statements is TRUE about photoreceptor cells in a healthy human eye?

A

The distribution of rod and cone cells is uniform all over the retina.

B

The number of rods are higher than the number of cones in the retina.

C

Rods contain photopsin pigment.

D

Cones are responsible for colour vision in bright light.


Ques 43 Biomedical Signals and Systems

The end-diastolic ventricular volume is found to be 125 mL and the end-systolic ventricular volume is found to be 50 mL. If the heart rate is 65 beats/minute, what is the cardiac output in liters per minute? (Rounded off to 2 decimal places.)

A

3.25

B

4.88

C

5.20

D

3.00


Ques 44 Biomedical Signals and Systems

During the repolarization phase of a neuron, the cell is brought back to the resting potential by the action of a Sodium-Potassium pump. Which one of the following statements is TRUE for the active transport of Na+ and K+ ions through the cell membrane?

A

For every 3 Na+ transported out of the cell 2 K+ is transported into the cell.

B

For every 3 Na+ transported into the cell 2 K+ is transported out of the cell.

C

For every 2 Na+ transported out of the cell 3 K+ is transported into the cell.

D

The ratio of Na+ and K+ transport is always equal to one.


Ques 45 Biomedical Signals and Systems

The cardiac rhythm in a healthy human heart originates from

A

Sinu-atrial node (SA)

B

Atrio-ventricular node (AV)

C

Left atria

D

Right atria


Ques 46 Engineering Mathematics

The Fourier transform of e-|2t| is

A

4/(4+ω^2)

B

2/(2+ω)

C

2/(2-ω)

D

4/(2+ω^2)


Ques 47 Engineering Mathematics

A group of four people were residing together when a new virus was detected. If the probability of each person being infected is 0.1, then the probability that at least two of them are infected is _______. Give your answer rounded off to 3 decimal places.

0.052 is the correct answer.


Ques 48 Engineering Mathematics

A random noise signal with Gaussian distribution has a mean of zero and a standard deviation of 1 mV. The probability that an instantaneous measurement of this signal is greater than 2 mV or lesser than 2 mV is _______. Give your answer as a percentage rounded off to the nearest integer.

95 is the correct answer.


Ques 49 Engineering Mathematics

The trigonometric Fourier series expansion of the periodic function in the figure has coefficients {an} and {bn} for cosine and sine terms, respectively. The value of a1/a3 is _______. Give your answer rounded off to 1 decimal place.

1.5 is the correct answer.


Ques 50 Engineering Mathematics

If

the eigenvalues of A are

A

-1 and 0.

B

-1 and +1.

C

-1 and -1.

D

+1 and 0.


Ques 51 Engineering Mathematics

Consider a system of the following two partial differential equations:
(∂α/∂x)=-2(∂β/∂t)
(∂β/∂x)=-2(∂α/∂t)
Which one of the following choices is a possible solution for the system?

A

α(t,x)=(x-t)^2+(x+t)^2 and β(t,x)=(x-t)^2-(x+t)^2.

B

α(t,x)=(x-2t)^2+(x+2t)^2 and β(t,x)=(x-2t)^2-(x+2t)^2.

C

α(t,x)=(x-(t/2))^2+(x+(t/2))^2 and β(t,x)=(x-(t/2))^2-(x+(t/2))^2.

D

α(t,x)=(x-(t/2))^2+2(x+(t/2))^2 and β(t,x)=2(x-(t/2))^2-(x+(t/2))^2.


Ques 52 Engineering Mathematics

What is the value of the following complex line integral counter-clockwise? ∮|z|=3(8/z(z-2)(z-4))dz

A

+j2π

B

-j2π

C

-j10π

D

+j10π


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