Electronics and Communication Gate 2016 Set-1 Questions with Answer

Ques 53 GATE 2016 SET-1

In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this?

For POP, the data transceivers remain in the same direction as for instruction fetch (memory to processor), whereas for PUSH their direction has to be reversed.

Memory write operations are slower than memory read operations in an 8085 based system.

The stack pointer needs to be pre-decremented before writing registers in a PUSH, whereas a POP operation uses the address already in the stack pointer.

Order of registers has to be interchanged for a PUSH operation, whereas POP uses their natural order.

Ques 54 GATE 2016 SET-1

Consider a two-port network with the transmission matrix: T=[[A,B],[C,D]]. If the network is reciprocal, then

T^-1=T

T²=T

Determinant(T)=0

Determinant(T)=1

(d) is the correct answer.

Ques 55 GATE 2016 SET-1

A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form

. The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?

∑_k=1⁴b_kcos(kω₀t+φ_k), where b_k≠a_k, k

∑_k=1³b_kcos(kω₀t+φ_k), where b_k≠0, k

∑_k=1³a_kcos(kω₀t+φ_k)

∑_k=1²a_kcos(kω₀t+φ_k)

(a) is the correct answer.

Ques 56 GATE 2016 SET-1

An AC voltage source V=10sin(t) volts is applied to the following network. Assume that R₁=3 Ω, R₂=6 Ω and R₃=∞Ω, and that the diode is ideal.

RMS current I_rms (in mA) through the diode is

(0.8) is the correct answer.

Ques 57 GATE 2016 SET-1

In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is

(0.8) is the correct answer.

Ques 58 GATE 2016 SET-1

The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is

(1) is the correct answer.

Ques 59 GATE 2016 SET-1

Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step function)?

e^jω₀tu(t)

cos(ω₀t)

e^jω₀t

sin(ω₀t)

Ques 60 GATE 2016 SET-1

A continuous-time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period T_S. In which one of the following cases is the sampled signal periodic?

T=√2T_s

T=1.2 T_s

Always

Never

(b) is the correct answer.

Ques 61 GATE 2016 SET-1

Consider the sequence x[n]=aⁿu[n]+bⁿu[n], where u[n] denotes the unit-step sequence and 0<|a|<|b|<1. The region of convergence (ROC) of the z-transform of x[n] is

|z|>|a|

|z|>|b|

|z|<|a|

|a|<|z|<|b|

(b) is the correct answer.

Ques 62 GATE 2016 SET-1

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is

(13) is the correct answer.

Ques 63 GATE 2016 SET-1

The Laplace transform of the causal periodic square wave of period T shown in the figure below is

F(s)=1/(1+e^-sT/2)

F(s)=1/(s(1+e^-sT/2))

F(s)=1/(s(1-e^-sT))

F(s)=1/(1-e^-sT)

(a) is the correct answer.

Ques 64 GATE 2016 SET-1

A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t=0). Match the excitation signals X, Y, Z with the corresponding time responses for t≥0:

X-R, Y-P, Z-Q

X-P, Y-R, Z-Q

X-R, Y-Q, Z-P

X-P, Y-Q, Z-R

(a) is the correct answer.

Ques 65 GATE 2016 SET-1

Consider the signal. x[n]=6δ[n+2]+3δ[n+1]+8δ[n]+7δ[n-1]+4δ[n-2]. If X(e^jω) is the discrete-time Fourier transform of x[n], then (1/π)∫_-π^πX(e^jω)sin²(2ω)dω is equal to

(8) is the correct answer.

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