Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2014 Set-3 Questions with Answer

Ques 1 GATE 2014 SET-3

The desirable characteristics of a transconductance amplifier are

A

high input resistance and high output resistance

B

high input resistance and low output resistance

C

low input resistance and high output resistance

D

low input resistance and low output resistance


(a) is the correct answer.

Ques 2 GATE 2014 SET-3

In the circuit shown, the PNP transistor has |VBE| = 0.7 V and β = 50. Assume that RB = 100 kΩ. For VO to be 5 V, the value of RC (in kΩ) is _______


(1.08) is the correct answer.

Ques 3 GATE 2014 SET-3

The figure shows a half-wave rectifier. The diode D is ideal. The average steady-state current (in mA) through the diode is approximately ____________.


(0.1) is the correct answer.

Ques 4 GATE 2014 SET-3

An analog voltage in the range 0 to 8 V is divided in 16 equal intervals for conversion to 4-bit digital output. The maximum quantization error (in V) is _________


(0.25) is the correct answer.

Ques 5 GATE 2014 SET-3

In the circuit shown, the silicon BJT has β = 50. Assume VBE = 0.7 V and VCE(sat) = 0.2 V.

Which one of the following statements is correct?

A

For RC = 1 kΩ, the BJT operates in the saturation region

B

For RC = 3 kΩ, the BJT operates in the saturation region

C

For RC = 20 kΩ, the BJT operates in the cut-off region

D

For RC = 20 kΩ, the BJT operates in the linear region


(b) is the correct answer.

Ques 6 GATE 2014 SET-3

Assuming that the Op-amp in the circuit shown is ideal, Vo is given by

A

(5/2)V1 − 3V2

B

2V1 − (5/2)V2

C

−(3/2)V1 + (7/2)V2

D

−3V1 + (11/2)V2


(d) is the correct answer.

Ques 7 GATE 2014 SET-3

For the MOSFET M1 shown in the figure, assume W/L = 2, VDD = 2.0 V, μnCox = 100 μA/V2 and VTH = 0.5 V. The transistor M1 switches from saturation region to linear region when Vin (in Volts) is__________.


(1.5) is the correct answer.

Ques 8 GATE 2014 SET-3

The phase response of a passband waveform at the receiver is given by
φ(f) = −2πα(f − fc) − 2πβfc
where fc is the centre frequency, and α and β are positive constants. The actual signal propagation delay from the transmitter to receiver is

A

(α−β)/(α+β)

B

αβ/(α+β)

C

α

D

β


(c) is the correct answer.

Ques 9 GATE 2014 SET-3

Consider an FM signal f(t) = cos[2πfct + β1sin 2πf1t + β2sin 2πf2t]. The maximum deviation of the instantaneous frequency from the carrier frequency fc is

A

β1f1 + β2f2

B

β1f2 + β2f1

C

β1 + β2

D

f1 + f2


(b) is the correct answer.

Ques 10 GATE 2014 SET-3

Let X(t) be a wide sense stationary (WSS) random process with power spectral density SX(f). If Y(t) is the process defined as Y(t) = X(2t − 1), the power spectral density SY(f) is

A

SY(f) = (1/2)SX(f/2)e−jπf

B

SY(f) = (1/2)SX(f/2)e−jπf/2

C

SY(f) = (1/2)SX(f/2)

D

SY(f) = (1/2)SX(f/2)e−j2πf


(c) is the correct answer.

Ques 11 GATE 2014 SET-3

A real band-limited random process X(t) has two-sided power spectral density

The signal X(t) modulates a carrier cos(16000πt) and the resultant signal is passed through an ideal band-pass filter of unity gain with centre frequency of 8 kHz and band-width of 2 kHz. The output power (in Watts) is _______.


(2.5) is the correct answer.

Ques 12 GATE 2014 SET-3

In a PCM system, the signal m(t) = {sin(100πt) + cos(100πt)} V is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size 0.75 V. The minimum data rate of the PCM system in bits per second is _____.


(200) is the correct answer.

Ques 13 GATE 2014 SET-3

A binary random variable X takes the value of 1 with probability 1/3. X is input to a cascade of 2 independent identical binary symmetric channels (BSCs) each with crossover probability 1/2.

The output of BSCs are the random variables Y1 and Y2 as shown in the figure. The value of H(Y1) + H(Y2) in bits is _____.


(2) is the correct answer.

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