Electronics and Communication Gate 2014 Set-1 Questions with Answer

1 2 3 4 5

Ques 1 GATE 2014 SET-1

A good current buffer has

low input impedance and low output impedance

low input impedance and high output impedance

high input impedance and low output impedance

high input impedance and high output impedance

(b) is the correct answer.

Ques 2 GATE 2014 SET-1

In the ac equivalent circuit shown in the figure, if i_in is the input current and R_F is very large, the type of feedback is

voltage-voltage feedback

voltage-current feedback

current-voltage feedback

current-current feedback

(b) is the correct answer.

Ques 3 GATE 2014 SET-1

In the low-pass filter shown in the figure, for a cut-off frequency of 5 kHz, the value of R₂ (in kΩ) is _____________.

(3.18) is the correct answer.

Ques 4 GATE 2014 SET-1

In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has V_BE = 0.7 V and β = 100, and the zener voltage is 4.7 V. For a regulated output of 9 V, the value of R (in Ω) is _______.

(1093) is the correct answer.

Ques 5 GATE 2014 SET-1

In the circuit shown, the op-amp has finite input impedance, infinite voltage gain and zero input offset voltage. The output voltage V_out is

-I₂(R₁ + R₂)

I₂R₂

I₁R₂

-I₁(R₁ + R₂)

Ques 6 GATE 2014 SET-1

For the amplifier shown in the figure, the BJT parameters are V_BE = 0.7 V, β = 200, and thermal voltage V_T = 25 mV. The voltage gain (v_o/v_i) of the amplifier is _______ .

(-235) is the correct answer.

Ques 7 GATE 2014 SET-1

In a code-division multiple access (CDMA) system with N = 8 chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________

(8) is the correct answer.

Ques 8 GATE 2014 SET-1

The capacity of a Binary Symmetric Channel (BSC) with cross-over probability 0.5 is ________

(0) is the correct answer.

Ques 9 GATE 2014 SET-1

Consider a random process X(t) = √2 sin(2πt + φ), where the random phase φ is uniformly distributed in the interval [0,2π]. The auto-correlation E[X(t₁)X(t₂)] is

cos(2π(t₁ + t₂))

sin(2π(t₁ - t₂))

sin(2π(t₁ + t₂))

cos(2π(t₁ - t₂))

(d) is the correct answer.

Ques 10 GATE 2014 SET-1

Let Q(√γ) be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density N₀/2. The parameter γ is a function of bit energy and noise power spectral density. A system with two independent and identical AWGN channels with noise power spectral density N₀/2 is shown in the figure.

The BPSK demodulator receives the sum of outputs of both the channels. If the BER of this system is Q(b√γ), then the value of b is _____.

(1.41) is the correct answer.

Ques 11 GATE 2014 SET-1

A fair coin is tossed repeatedly until a 'Head' appears for the first time. Let L be the number of tosses to get this first 'Head'. The entropy H(L) in bits is ________.

(2) is the correct answer.

Ques 12 GATE 2014 SET-1

The forward path transfer function of a unity negative feedback system is given by
G(s) = K/[(s + 2)(s - 1)]
The value of K which will place both the poles of the closed-loop system at the same location, is ______ .

(2.25) is the correct answer.

Ques 13 GATE 2014 SET-1

Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown. Which one of the following conclusions is correct?

G(s) is an all-pass filter

G(s) is a strictly proper transfer function

G(s) is a stable and minimum-phase transfer function

The closed-loop system is unstable for sufficiently large and positive k

(d) is the correct answer.

1 2 3 4 5

Total Unique Visitors

Loading......

Electronics & Communication Gate Yearwise

Electronics and Communication Gate 2014 Set-1 Questions with Answer

Question Options

Sign in to ExamPrev