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GATE 2022 Toppers Quiz 8

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Question 1

In the circuit shown in figure below, what is the value of RL 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

If , 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

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

Question 6

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 7

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

______ V.

Question 8

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

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Dec 20ESE & GATE EC