Electronics and Communication Gate 2017 Set-2 Questions with Answer

Ques 14 GATE 2017 SET-2


A programmable logic array (PLA) is shown in the figure. The Boolean function F implemented is

A

P̄Q̄R+P̄QR+PQ̄R̄

B

(P̄+Q̄+R)(P̄+Q+R)(P+Q̄+R̄)

C

P̄Q̄R+P̄QR+PQ̄R

D

(P̄+Q̄+R)(P̄+Q+R)(P+Q̄+R)


(c) is the correct answer.

Ques 15 GATE 2017 SET-2


Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability p?

A

B

C

D


(c) is the correct answer.

Ques 16 GATE 2017 SET-2


A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is 40 dB. The minimum number of bits per sample needed to achieve the desired SQNR is


(7) is the correct answer.

Ques 17 GATE 2017 SET-2


Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is

A

lossless

B

noiseless

C

useless

D

deterministic


(c) is the correct answer.

Ques 18 GATE 2017 SET-2


Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure.

For some charge placed on this structure, the potential and surface electric field on S1 are Va and Ea and that on S2 are Vb and Eb respectively. Then, which of the following is CORRECT?

A

Va=Vb and Eab

B

Va>Vb and Ea>Eb

C

Va=Vb and Ea>Eb

D

Va>Vb and Ea=Eb


(c) is the correct answer.

Ques 19 GATE 2017 SET-2


A two-wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is


(49.8) is the correct answer.

Ques 20 GATE 2017 SET-2


An electron (q1) is moving in free space with velocity 105m/s towards a stationary electron (q2) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is...×10-8 m. [Given, mass of electron m=9.11×10-31 kg. charge of electron e=-1.6×10-19C., and permittivity ε0=(1/36π)×10-9F/m]


(5.05) is the correct answer.

Ques 21 GATE 2017 SET-2


Standard air-filled rectangular waveguides of dimensions a=2.29 cm and b=1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominant TE10 mode with the operating frequency at least 25% above the cutoff frequency of the TE10 mode but not higher than 95% of the next higher cutoff frequency. The range of the allowable operating frequency f is

A

8.19 GHz≤f≤13.1 GHz

B

8.19 GHz≤f≤12.45 GHz

C

6.55 GHz≤f≤13.1 GHz

D

1.64 GHz≤f≤10.24 GHz


(b) is the correct answer.

Ques 22 GATE 2017 SET-2


The permittivity of water at optical frequencies is 1.75ε0. It is found that an isotropic light source at a distance d under water forms an illuminated circular area of radius 5 m. as shown in the figure. The critical angle is θc.

The value of d (in meter) is


(4.24) is the correct answer.

Ques 23 GATE 2017 SET-2


The output V0 of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _________.


(3.18) is the correct answer.

Ques 24 GATE 2017 SET-2


In the figure. D1 is a real silicon pn junction diode with a drop of 0.7 V under forward bias condition and D2 is a Zener diode with breakdown voltage of 6.8 V. The input Vin(t) is a periodic square wave of period T, whose one period is shown in the figure.

Assuming 10τ<<T, where τ is the time constant of the circuit, the maximum and minimum values of the output waveform are respectively.

A

7.5 V and-20.5 V

B

6.1 V and -21.9 V

C

7.5 V and -21.2 V

D

6.1 V and -22.6 V


(a) is the correct answer.

Ques 25 GATE 2017 SET-2


Consider the circuit shown in the figure. Assume base-to-emitter voltage VBE=0.8 V and common-base current gain (a) of the transistor is unity.

The value of the collector-to-emitter voltage VCE (in volt) is


(6) is the correct answer.

Ques 26 GATE 2017 SET-2


Assuming that transistors M1 and M2 are identical and have a threshold voltage of 1 V. the state of transistors M1 and M2 are respectively

A

Saturation. Saturation

B

Linear. Linear

C

Linear. Saturation

D

Saturation. Linear


(c) is the correct answer.

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