Biomedical Eng. Gate Yearwise 


Biomedical Engineering GATE 2023 Questions with Answer

Ques 27 Electrical Circuits

In the following circuit with an ideal operational amplifier, the capacitance of the parallel plate capacitor C is given by the expression C=(ϵA/x), where ϵ is the dielectric constant of the medium between the capacitor plates, and A is the cross-sectional area. In the above relation, X is the separation between the two parallel plates, given by x=x0+kt, where t is time; x0 and k are positive non-zero constants. If the input voltage vi is constant, then the output voltage v0 is given by

A

(RviCk)/x

B

(RviC)/(kx)

C

(vik)/(RCx)

D

0


Ques 28 Electrical Circuits

In the following circuit, the switch S is open for t<0 and closed for t≥0. What is the steady state voltage (in Volts) across the capacitor when the switch is closed? (Round off the answer to one decimal place.)


Ques 29 Electrical Circuits

In the circuit shown below, the amplitudes of the voltage across the resistor and the capacitor are equal. What is the value of the angular frequency ω0 (in rad/s)? (Round off the answer to one decimal place.)


Ques 30 Electrical Circuits

In the circuit below, the two DC voltage sources have voltages of value V1 and V2. The expression for the power dissipated in the 60 KΩ resistor is proportional to

A

(V1+V2)2

B

(3V1+V2)2

C

(2V1+V2)2

D

(V1+2V2)2


Ques 31 Electrical Circuits

In the circuit shown below, it is observed that the amplitude of the voltage across the resistor is the same as the amplitude of the source voltage. What is the angular frequency ω0 (in rad/s)?

A

104

B

103

C

103π

D

104π


Ques 32 Electrical Circuits

In the circuit shown below, the input voltage is sinusoidal and 2.5 V peak to peak. The capacitors are 20 µF each. Assume that the knee voltage of the diodes is 0 V and RL is very large (almost infinite). Which one of the following options is closest to the peak to peak voltage across RL, after a large number of cycles?

A

1.25 V

B

2.50 V

C

5.00 V

D

10.0 V


Ques 33 Electrical Circuits

In the circuit given below, what should be the value of the resistance R for maximum dissipation of power in R?

A

1.2 KΩ

B

2.2 KΩ

C

3.2 KΩ

D

4.2 KΩ


Ques 34 Electrical Circuits

Assuming the operational amplifier in the circuit shown below to be ideal, which of the following properties hold(s) TRUE for the circuit?

A

It acts as a voltage follower.

B

It is bistable.

C

It is astable.

D

The output voltage is at saturation.


Ques 35 Electronics

An 8 bit successive approximation Analog to Digital Converter (ADC) has a clock frequency of 1 MHz. Assume that the start conversion and end conversion signals occupy one clock cycle each. Among the following options, what is the maximum frequency that this ADC can sample without aliasing?

A

0.9 kHz

B

9.9 kHz

C

49.9 kHz

D

99.9 kHz


Ques 36 Engineering Mathematics

Which one of the following options represents the given graph?

A

f(x)=x2 2-|x|

B

f(x)=x 2-|x|

C

f(x)=|x| 2-|x|

D

f(x)=x 2-|x|


Ques 37 Engineering Mathematics

What is the magnitude of the difference between the mean and the median of the dataset {1, 2, 3, 4, 6, 8}?

A

0

B

1

C

0.5

D

0.25


Ques 38 Engineering Mathematics

For a Binomial random variable X, E(X) and Var(X) are the expectation and variance, respectively. Which one of the following statements CANNOT be true?

A

E(X)=20 and Var(X)=16

B

E(X)=6 and Var(X)=5.4

C

E(X)=10 and Var(X)=15

D

E(X)=64 and Var(X)=12.8


Ques 39 Engineering Mathematics

is a 2 x 2 matrix. Which one of the following statements is TRUE?

A

Q is equal to its transpose.

B

Q is equal to its inverse.

C

Q is of full rank.

D

Q has linearly dependent columns.


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