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GATE 2021: Toppers Quiz-8 (App update required to attempt this test)

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Question 1

In the circuit shown in figure below, what is the value of R_L such that maximum power is transferred to the load?

Question 2

The normalized radiation intensity of an antenna in spherical coordinates is given by
U = sinθ sinφ, 0≤ θ ≤ π , 0≤ φ ≤ π

The directivity of antenna is given by _______.

Question 3

The given integral

for some

. Then the value of k is:

Question 4

, where x represents the minimum number of NOR gates required to implement a half adder, then the positive value of radix ‘r’ is ________.

Question 5

The minimal expression of function

Question 6

For on n–channel E – MOSFFT used in the circuit shown below, the threshold voltage, V_T = 1V, the channel length modulation parameter

l = 0 and = 0.3 mA/V². Then the output voltage V_o is

Question 7

An enhancement type NMOS transistor has threshold voltage of 0.8 V, process transconductance parameter

and channel length modulation parameter λ= O, V_G = 2.8 V, drain Voltage (V_D) = 5 V, Source Voltage V_S = 1V and drain current I_D = 0.24 m. Then the ratio (W/L) is

Question 8

Considered two signals,

also Y(n) = X(n) * h(n).

Then the value of ?

Question 9

The Nyquist plot for a stable open loop system is shown below:

For , how many closed loop poles of a unity feedback system are in the right half of s-plane

Question 10

An LTI system has the impulse response shown below.

If the system is excited by an input x(t) = δ (t – 1) + δ (t – 3), then output y(t) will be

Question 11

Find the output voltage of the following circuit assume the ideal op-amp behavior.

______ V.

Question 12

Consider the NMOS transistor as shown in figure. The MOSFET has parameters

, V_T = 2V and λ = 0. The transistor is used to amplify the small signal V_in as shown in the figure. If the value of signal V_in = 3sin(wt) mV, then the value of output signal V₀(t) is equal to :-

Question 13

The divergence of the vector field

at (1,1,1) is

Question 14

Consider the channel

P(Y/X) =

P(X₁) =1/8 P(X₂) =1/8 P(X₃) =6/8

Calculate information carried by the channel.

Question 15

In the following question, some statements followed by some conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.

Statement:
Parents must understand that their child cannot attain excellence on his own. He needs their support. They must thus be open to help him at various steps rather than merely setting high expectations.

Conclusion:
I. Ideal students are not born ideal or perfect. They are nurtured to become ideal by their educators. The environment at home has a great impact on the way a student performs in school.

II. The life of an ideal student may seem tough from a distance. However, it is actually much more sorted as compared to those who procrastinate and do not give complete attention to their studies.

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ESE & GATE EC General

Jul 9ESE & GATE EC