GATE ECE purpose:exam-prep PYQs & Answers — Page 4

Questions 31–40 of 715. Imported answers require independent review unless marked reviewed.

Consider the circuit shown in the Figure, where the input

is in Volt. The average power (in mW) dissipated in the load resistance of 1 kΩ at the resonant frequency is __. (rounded off to two decimal places) The circuit is driven by

Diagram for Electronics and Communication Engineering question 31

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A wireless digital transmission scheme is using 16-QAM over an additive white Gaussian noise channel and a maximum-likelihood receiver. Consider the information bit rate from source to be 4 × 10⁶ bits per second. The minimum transmission bandwidth (in MHz) of the modulated signal necessary for optimum recovery of information at the receiver is __. (rounded off to two decimal places)

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The cutoff frequency (in GHz) for the dominant TE₁₀ mode of an air-filled rectangular waveguide of inner dimension 0.28 inch × 0.14 inch is __. (rounded off to two decimal places).

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For a lossless passive two-port network, |S₁₁| and |S₂₁| intersect at −3 dB. For a lossy passive two-port network, |S₁₁| and |S₂₁| intersect at −4 dB. The percentage of power dissipated in the lossy network at the intersection frequency is __. (rounded off to two decimal places)

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The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of 10 cycles/second is applied to its clock (C) input. The frequency of the output Q (in cycles/second) is __. (rounded off to two decimal places)

Diagram for Electronics and Communication Engineering question 35

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Consider the two series,

and

, where

Which of the following statements is correct for the two given series?

Your answerChoose one option.

Both

and

converge.

Neither

nor

converges.

converges but

does not converge.

converges but

does not converge.

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The continuous time signal

is real, periodic with period

and satisfies the Dirichlet conditions.

The Fourier series representation of

and

satisfies the following:

For any integer

, which of the following options is correct?

Your answerChoose one option.

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Let X, N, Y and Z be random variables. The variables X and N are independent of each other. X is uniformly distributed between -1 and 1; N follows Normal distribution with zero mean and unity variance. Y and Z are defined as,

and

. Which of the following pairs represents the values of correlation between X and Y and that between X and Z?

Your answerChoose one option.

1/3 and 0

1/3 and 1/9

1/3 and 1/3

1 and 0

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In the given circuit,

and

. The phasor diagram for

and

is also shown. Assume that the phase

at a frequency of 159.15 kHz. Among the following options, what is the nearest integer value of

Diagram for Electronics and Communication Engineering question 39

Your answerChoose one option.

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For the control system shown in the Figure, the transfer function of a plant,

is connected in cascade with a compensator

, where

and

are positive real valued constants. Which of the following pairs

represent the correct values for the closed loop system to have poles at

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

2, 3

3, 4

2, 4

3, 3

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GATE ECE purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40