Biomedical Engineering Gate 2022 Questions with Answer

Ques 40 GATE 2022


The magnitude of the current gain Iload/Iin in the circuit below is _______ (rounded off to two decimal places).


(75.49 to 76.01) is the correct answer.

Ques 41 GATE 2022


In the circuit diagram shown below, the MOSFET is biased in saturation region. The MOSFET has a threshold voltage Vth = 0.5 V, width W = 100 µm, length L = 0.1 µm, and μnCox = 100 µA.V⁻². Assuming vi = 1 mV as a small-signal input to MOSFET, the magnitude of the output voltage Vo is _______ mV (accurate to two decimal places). Ignore channel-length modulation for the MOSFET.


(6.25 to 6.25) is the correct answer.

Ques 42 GATE 2022


In the circuit diagram shown below, BJTs are biased with VEB = 0.7 V. Neglect the base current for operating point calculations. Assume infinite input and output impedance for the BJTs. The output voltage Vo with small input voltage vi = 10 mV is _______ mV (rounded off to one decimal place). The thermal voltage VT = 25 mV at room temperature.


(6.2 to 6.8) is the correct answer.

Ques 43 GATE 2022


An ideal opamp with an infinite gain and infinite bandwidth is connected in feedback as shown below. The output voltage Vo for the given input voltages in the circuit is _______ V (accurate to one decimal place).


(4.6 to 4.6) is the correct answer.

Ques 44 GATE 2022


A function y(x) is defined in the interval on the x-axis as

Which one of the following is the area under the curve for the interval on the x-axis?

A

5/6

B

6/5

C

13/6

D

6/13


(c) is the correct answer.

Ques 45 GATE 2022


Let r be a root of the equation x²+2x+6=0.
Then the value of the expression (r+2)(r+3)(r+4)(r+5) is

A

51

B

-51

C

126

D

-126


(d) is the correct answer.

Ques 46 GATE 2022


A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.
First ball is drawn. What is the probability of getting an orange ball in the next draw?

A

1/2

B

8/25

C

19/50

D

23/50


(d) is the correct answer.

Ques 47 GATE 2022


If the given matrices

satisfy A2 = kA - 2I, the value of coefficient k is

A

1

B

2

C

0

D

4


(a) is the correct answer.

Ques 48 GATE 2022


Evaluation of the integral ∫dx/√(2x-x²) results in

A

sin⁻¹(x-1)+c

B

cos⁻¹(x-1)+c

C

sin⁻¹(x/2)+c

D

cos⁻¹(x/2)+c


(a) is the correct answer.

Ques 49 GATE 2022


If V⃗ = aî + bĵ + ck̂, identify the INVALID operation on V⃗.

A

∇∙∇×(V⃗)

B

∇×∇∙(V⃗)

C

∇(∇∙(V⃗))

D

∇×∇(V⃗)


(b) is the correct answer.

Ques 50 GATE 2022


Given x is real, identify all the even-functions among the following:

A

x|x|

B

cos(x)/x

C

sin x²

D

e⁻|x|


(c, d) is the correct answer.

Ques 51 GATE 2022


Due to the current COVID pandemic conditions, assume that positive or negative status of any individual are equally likely. There are 3 members in a family. If one of the members has tested COVID positive, the conditional probability that at least 2 members are COVID positive is _______ (rounded off to three decimal places).


(0.570 to 0.572) is the correct answer.

Ques 52 GATE 2022


In the complex z-domain, the value of the integral ∮c(z³-9)/(3z-i)dz; is _______.

A

(2π/81)-6iπ

B

(2π/81)+6iπ

C

-(2π/81)+6iπ

D

-(2π/81)-6iπ


(a) is the correct answer.

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