Electronics and Communication Gate 2015 Set-2 Questions with Answer

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Ques 14 GATE 2015 SET-2

In the figure shown, the output Y is required to be Y = AB + CD. The gates G₁ and G₂ must be, respectively,

NOR, OR

OR, NAND

NAND, OR

AND, NAND

(a) is the correct answer.

Ques 15 GATE 2015 SET-2

In an 8085 microprocessor, which one of the following instructions changes the content of the accumulator?

MOV B,M

PCHL

RNZ

SBI BEH

(d) is the correct answer.

Ques 16 GATE 2015 SET-2

A mod-n counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of n is __________.

(7) is the correct answer.

Ques 17 GATE 2015 SET-2

Let the signal f(t)=0 outside the interval [T₁, T₂], where T₁ and T₂ are finite. Furthermore, |f(t)| < ∞. The region of convergence (ROC) of the signal's bilateral Laplace transform F(s) is

a parallel strip containing the jω axis

a parallel strip not containing the jω axis

the entire s-plane

a half plane containing the jω axis

Ques 18 GATE 2015 SET-2

Two causal discrete-time signals x[n] and y[n] are related as y[n] = ∑_m=0ⁿx[m]. If the z-transform of y[n] is ²⁄_z(z−1)², the value of x[2] is __________.

(0) is the correct answer.

Ques 19 GATE 2015 SET-2

By performing cascading and/or summing/differencing operations using transfer function blocks G₁(s) and G₂(s), one CANNOT realize a transfer function of the form

G₁(s)G₂(s)

^G₁(s)⁄_G₂(s)

G₁(s)(¹⁄_G₁(s)+G₂(s))

G₁(s)(¹⁄_G₁(s)−G₂(s))

(b) is the correct answer.

Ques 20 GATE 2015 SET-2

For the signal flow graph shown in the figure, the value of ^C(s)⁄_R(s) is

(A) ^{G₁G₂G₃G₄}⁄_{1−G₁G₂H₁−G₃G₄H₂−G₂G₃H₃+G₁G₂G₃G₄H₁H₂}

(B) ^{G₁G₂G₃G₄}⁄_{1+G₁G₂H₁+G₃G₄H₂+G₂G₃H₃+G₁G₂G₃G₄H₁H₂}

(D) ¹⁄_{1−G₁G₂H₁−G₃G₄H₂−G₂G₃H₃+G₁G₂G₃G₄H₁H₂}

(b) is the correct answer.

Ques 21 GATE 2015 SET-2

A unity negative feedback system has an open-loop transfer function G(s) = ^K⁄_s(s+10). The gain K for the system to have a damping ratio of 0.25 is __________.

(400) is the correct answer.

Ques 22 GATE 2015 SET-2

A sinusoidal signal of amplitude A is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is 31.8 dB, the number of levels in the quantizer is __________.

(32) is the correct answer.

Ques 23 GATE 2015 SET-2

The signal cos(10πt + ^π⁄₄) is ideally sampled at a sampling frequency of 15 Hz. The sampled signal is passed through a filter with impulse response (^sin(πt)⁄_πt)cos(40πt − ^π⁄₂). The filter output is

¹⁵⁄₂cos(40πt − ^π⁄₄)

¹⁵⁄₂(^sin(πt)⁄_πt)cos(10πt + ^π⁄₄)

¹⁵⁄₂cos(10πt − ^π⁄₄)

¹⁵⁄₂(^sin(πt)⁄_πt)cos(40πt − ^π⁄₂)

Ques 24 GATE 2015 SET-2

In a source free region in vacuum, if the electrostatic potential φ = 2x² + y² + cz², the value of constant c must be __________.

(-3) is the correct answer.

Ques 25 GATE 2015 SET-2

The electric field of a uniform plane electromagnetic wave is E⃗ = (a⃗_x + j4a⃗_y)exp[j(2π × 10⁷ t − 0.2z)]. The polarization of the wave is

right handed circular

right handed elliptical

left handed circular

left handed elliptical

(d) is the correct answer.

Ques 26 GATE 2015 SET-2

Consider the differential equation ^dx⁄_dt = 10 − 0.2x with initial condition x(0)=1. The response x(t) for t > 0 is

2 − e^−0.2t

2 − e^0.2t

50 − 49e^−0.2t

50 − 49e^0.2t

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