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GATE 2022 Boost up Quiz 1.0

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Question 1

Consider the following circuit

Find value of ‘K’ for circuit at resonance is _________

Question 2

In the figure shown, the npn transistor acts as a switch
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For the inputVin(t) as shown in the figure, the transistor switches between the cut-off and saturation regions of operation, when T is large. Assume collector-to-emitter voltage saturation VCE(sat)=0.2V and base-to-emitter voltage VBE=0.7V. The minimum value of the common-base current gain (α) of the transistor for the switching should be _____.

Question 3

Let X and Y be two statistically independent random variables uniformly distributed in the ranges (–1, 1) and (–2, 1) respectively. Let Z = X + Y, then the probability that [Z≤-2] is

Question 4

Consider the state diagram shown in the figure below

The minimum number of flip-flops required to implement this state diagram is………

Question 5

The block diagram of the system is

The number of state variables required to represent this state variables representation form is  _____ .

Question 6

An integral I over a counter clock wise circle C is given by If C is defined as |z|=3, then the value of I is

Question 7

A MOS structure with p-type semiconductor substrate doped with . The oxide thickness is  and the gate material is made of  poly silicon.

Then find the Flat band voltage (in volts)  of the device if the equivalent oxide charge density is  electronic charge per cm2.

Question 8

A communication system operates in an AWGN channel and employs BPSK modulation. If  (Eb signal energy per bit, N0 = noise power spectral density) and given that erf (2) = 0.99532, the average BER is?
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Dec 10ESE & GATE EC