Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2014 Set-1 Questions with Answer

Ques 14 GATE 2014 SET-1

Consider the state space model of a system, as given below. The system is

A

controllable and observable

B

uncontrollable and observable

C

uncontrollable and unobservable

D

controllable and unobservable


(b) is the correct answer.

Ques 15 GATE 2014 SET-1

The phase margin in degrees of G(s) = 10/[(s+0.1)(s+1)(s+10)] calculated using the asymptotic Bode plot is ________.


(45) is the correct answer.

Ques 16 GATE 2014 SET-1

For the following feedback system G(s) = 1/[(s+1)(s+2)]. The 2%-settling time of the step response is required to be less than 2 seconds. Which one of the following compensators C(s) achieves this?

A

3(1/(s+5))

B

5(0.03s + 1)

C

2(s + 4)

D

4((s+8)/(s+3))


(2(s + 4)) is the correct answer.

Ques 17 GATE 2014 SET-1

In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of 1 V. Ignoring the body-effect, the output voltages at P, Q and R are,

A

4 V, 3 V, 2 V

B

5 V, 5 V, 5 V

C

4 V, 4 V, 4 V

D

5 V, 4 V, 3 V


(4 v, 4 v, 4 v) is the correct answer.

Ques 18 GATE 2014 SET-1

The Boolean expression (X + Y) (X + Y̅) + (X Y̅) + X̅ simplifies to

A

X

B

Y

C

XY

D

X+Y


(a) is the correct answer.

Ques 19 GATE 2014 SET-1

Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of 1 MHz are applied as shown. The frequency (in kHz) of the waveform at Q3 is __________ .


(62.5) is the correct answer.

Ques 20 GATE 2014 SET-1

The output F in the digital logic circuit shown in the figure is

A

F = X̅YZ + XY̅Z

B

F = X̅YZ̅ + XY̅Z̅

C

F = X̅Y̅Z + XYZ

D

F = X̅Y̅Z̅ + XYZ


(a) is the correct answer.

Ques 21 GATE 2014 SET-1

Consider the Boolean function, F(w, x, y, z) = wy + xy + w̅xyz + w̅x̅y + xz + x̅y̅z̅. Which one of the following is the complete set of essential prime implicants?

A

w, y, xz, x̅z̅

B

w, y, xz

C

y, x̅y̅z̅

D

y, xz, x̅z̅


(d) is the correct answer.

Ques 22 GATE 2014 SET-1

The digital logic shown in the figure satisfies the given state diagram when Q1 is connected to input A of the XOR gate.

Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram?

A

Input A is connected to Q2̅

B

Input A is connected to Q2

C

Input A is connected to Q1̅ and S is complemented

D

Input A is connected to Q1̅


(d) is the correct answer.

Ques 23 GATE 2014 SET-1

The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permittivity ε is

A

0

B

q2/(16πε d2) away from the plate

C

q2/(16πε d2) towards the plate

D

q2/(4πε d2) towards the plate


(c) is the correct answer.

Ques 24 GATE 2014 SET-1

In spherical coordinates, let âθ, âφ denote unit vectors along the θ, φ directions. E = (100/r) sin θ cos(ωt - βr) âθ V/m and H = (0.265/r) sin θ cos(ωt - βr) âφ A/m represent the electric and magnetic field components of the EM wave at large distances r from a dipole antenna, in free space. The average power (W) crossing the hemispherical shell located at r = 1km, 0 ≤ θ ≤ π/2 is ________


(55.5) is the correct answer.

Ques 25 GATE 2014 SET-1

For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in

A

halving of v and no change in Z

B

no changes in v and halving of Z

C

no change in both v and Z

D

halving of both v and Z


(b) is the correct answer.

Ques 26 GATE 2014 SET-1

The input impedance of a λ/8 section of a lossless transmission line of characteristic impedance 50 Ω is found to be real when the other end is terminated by a load ZL = (R + jX) Ω. If X is 30Ω, the value of R (in Ω) is _______


(40) is the correct answer.

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