GATE ECE year:2020 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

The components in the circuit given below are ideal. If R = 2 kΩ and C = 1 μF, the −3 dB cut-off frequency of the circuit in Hz is

Diagram for Electronics and Communication Engineering question 41

Your answerChoose one option.

14.92

34.46

59.68

79.58

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For the modulated signal x(t) = m(t) cos(2πf_c t), the message signal m(t) = 4 cos(1000πt) and the carrier frequency f_c is 1 MHz. The signal x(t) is passed through a demodulator, as shown in the figure below. The output y(t) of the demodulator is

Diagram for Electronics and Communication Engineering question 42

Your answerChoose one option.

cos(46πt).

cos(92πt).

cos(1000πt).

cos(540πt).

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For an infinitesimally small dipole in free space, the electric field

in the far field is proportional to

, where

. A vertical infinitesimally small electric dipole (

) is placed at a distance

(

) above an infinite ideal conducting plane, as shown in the figure. The minimum value of

, for which one of the maxima in the far field radiation pattern occurs at

, is

Diagram for Electronics and Communication Engineering question 43

Your answerChoose one option.

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In the voltage regulator shown below, V_i is the unregulated input at 15 V. Assume V_BE = 0.7 V and the base current is negligible for both the BJTs. If the regulated output V_O is 9 V, the value of R₂ is ______ Ω.

Diagram for Electronics and Communication Engineering question 44

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The magnetic field of a uniform plane wave in vacuum is given by

The value of b is ______.

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For a 2-port network consisting of an ideal lossless transformer, the parameter s₂₁ (rounded off to two decimal places) for a reference impedance of 10 Ω, is ______.

Diagram for Electronics and Communication Engineering question 46

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S_PM(t) and S_FM(t) as defined below, are the phase modulated and the frequency modulated waveforms, respectively, corresponding to the message signal m(t) shown in the figure.

and

where K_p is the phase deviation constant in radians/volt and K_f is the frequency deviation constant in radians/second/volt. If the highest instantaneous frequencies of S_PM(t) and S_FM(t) are same, then the value of the ratio K_p/K_f is ______ seconds.

Diagram for Electronics and Communication Engineering question 47

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In a digital communication system, a symbol S randomly chosen from the set {s₁, s₂, s₃, s₄} is transmitted. It is given that s₁ = −3, s₂ = −1, s₃ = +1 and s₄ = +2. The received symbol is Y = S + W. W is a zero-mean unit-variance Gaussian random variable and is independent of S. P_i is the conditional probability of symbol error for the maximum likelihood (ML) decoding when the transmitted symbol S = s_i. The index i for which the conditional symbol error probability P_i is the highest is ______.

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A system with transfer function

is subjected to an input 5 cos 3t. The steady state output of the system is

The value of a is ______.

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For the components in the sequential circuit shown below,

is the propagation delay,

is the setup time, and

is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is ____ MHz.

Diagram for Electronics and Communication Engineering question 50

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GATE ECE year:2020 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50