Electronics and Communication Gate 2016 Set-1 Questions with Answer

Ques 1 GATE 2016 SET-1

The block diagram of a frequency synthesizer consisting of a Phase Locked Loop (PLL) and a divide-by-N counter (comprising 2,4,8,16 outputs) is sketched below. The synthesizer is excited with a 5 kHz signal (Input 1). The free-running frequency of the PLL is set to 20 kHz. Assume that the commutator switch makes contacts repeatedly in the order 1-2-3-4. The corresponding frequencies synthesized are:

10 kHz, 20 kHz, 40 kHz, 80 kHz

20 kHz, 40 kHz, 80 kHz, 160 kHz

80 kHz, 40 kHz, 20 kHz, 10 kHz

160 kHz, 80 kHz, 40 kHz, 20 kHz

(a) is the correct answer.

Ques 2 GATE 2016 SET-1

A superheterodyne receiver operates in the frequency range of 5-68 MHz. The intermediate frequency f_IF and local oscillator frequency f_LO are chosen such that f_IF≤f_LO. It is required that the image frequencies fall outside the 5-68 MHz band. The minimum required f_IF (in MHz) is

(5) is the correct answer.

Ques 3 GATE 2016 SET-1

The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal s(t)=5cos(1600πt)+20cos(1800πt)+5cos(2000πt). The value of the modulation index is

(0.5) is the correct answer.

Ques 4 GATE 2016 SET-1

Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh's Table of the system characteristic equation.

X-P, Y-R, Z-Q

X-Q, Y-P, Z-R

X-R, Y-P, Z-Q

X-P, Y-Q, Z-R

(d) is the correct answer.

Ques 5 GATE 2016 SET-1

A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function

encircles the s-plane point (-1+j0) in the counterclockwise direction as many times as the number of right-half s-plane poles.

encircles the s-plane point (0-j1) in the clockwise direction as many times as the number of right-half s-plane poles.

encircles the s-plane point (-1+j0) in the counterclockwise direction as many times as the number of left-half s-plane poles.

encircles the s-plane point (-1+j0) in the counterclockwise direction as many times as the number of right-half s-plane zeros.

(a) is the correct answer.

Ques 6 GATE 2016 SET-1

The open-loop transfer function of a unity-feedback control system is G(s)=k/(s²+5s+5). The value of K at the breakaway point of the feedback control system's root-locus plot is

(2.8) is the correct answer.

Ques 7 GATE 2016 SET-1

The open-loop transfer function of a unity-feedback control system is given by G(s)=K/(s(s+2)). For the peak overshoot of the closed-loop system to a unit step input to be 10%, the value of K is

(2.9) is the correct answer.

Ques 8 GATE 2016 SET-1

The transfer function of a linear time invariant system is given by H(s)=2s⁴-5s³+5s-2. The number of zeros in the right half of the s-plane is

(3) is the correct answer.

Ques 9 GATE 2016 SET-1

The output of the combinational circuit given below is

0 V

(|V_T| of PMOS + V_T of NMOS) / 2

Switching threshold of inverter

V_DD

Ques 10 GATE 2016 SET-1

Identify the circuit below.

Binary to Gray code converter

Binary to XS3 converter

Gray to Binary converter

XS3 to Binary converter

(a) is the correct answer.

Ques 11 GATE 2016 SET-1

The functionality implemented by the circuit below is

2-to-1 multiplexer

4-to-1 multiplexer

7-to-1 multiplexer

6-to-1 multiplexer

(b) is the correct answer.

Ques 12 GATE 2016 SET-1

Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of 0.25 is

(35) is the correct answer.

Ques 13 GATE 2016 SET-1

Consider a discrete memoryless source with alphabet S={s₀,s₁,s₂,s₃,s₄,...} and respective probabilities of occurrence P={1/2,1/4,1/8,1/16,1/32,...}. The entropy of the source (in bits) is

(2) is the correct answer.

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Electronics and Communication Gate 2016 Set-1 Questions with Answer

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