Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2014 Set-3 Questions with Answer

Ques 53 GATE 2014 SET-3

A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is


(0.81) is the correct answer.

Ques 54 GATE 2014 SET-3

A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the resistance R, the capacitance C, and the current i(t) is given below:
VS = Ri(t) + (1/C)∫i(u)du from 0 to t.
Which one of the following represents the current i(t)?

A

B

C

D


(b) is the correct answer.

Ques 55 GATE 2014 SET-3

In the figure shown, the value of the current I (in Amperes) is __________.


(0.5) is the correct answer.

Ques 56 GATE 2014 SET-3

Consider the building block called 'Network N' shown in the figure. Let C = 100 μF and R = 10 kΩ.

Two such blocks are connected in cascade, as shown in the figure.
The transfer function V3(s)/V1(s) of the cascaded network is

A

s/(1+s)

B

s2/(1+3s+s2)

C

(s/(1+s))2

D

s/(2+s)


(s2/(1+3s+s2)) is the correct answer.

Ques 57 GATE 2014 SET-3

In the circuit shown in the figure, the value of node voltage V2 is

A

22 + j2 V

B

2 + j22 V

C

22 − j2 V

D

2 − j22 V


(d) is the correct answer.

Ques 58 GATE 2014 SET-3

In the circuit shown in the figure, the angular frequency ω (in rad/s), at which the Norton equivalent impedance as seen from terminals b-b′ is purely resistive, is _________.


(2) is the correct answer.

Ques 59 GATE 2014 SET-3

For the Y-network shown in the figure, the value of R1 (in Ω) in the equivalent Δ-network is ____.


(10) is the correct answer.

Ques 60 GATE 2014 SET-3

Let x(t) = cos(10πt) + cos(30πt) be sampled at 20 Hz and reconstructed using an ideal low-pass filter with cut-off frequency of 20 Hz. The frequency/frequencies present in the reconstructed signal is/are

A

5 Hz and 15 Hz only

B

10 Hz and 15 Hz only

C

5 Hz, 10 Hz and 15 Hz only

D

5 Hz only


(a) is the correct answer.

Ques 61 GATE 2014 SET-3

For an all-pass system H(z) = (z−1 − b)/(1 − az−1), where |H(e−jω)| = 1, for all ω. If Re(a) ≠ 0, Im(a) ≠ 0, then b equals

A

a

B

a*

C

1/a*

D

1/a


(b) is the correct answer.

Ques 62 GATE 2014 SET-3

A modulated signal is y(t) = m(t)cos(40000πt), where the baseband signal m(t) has frequency components less than 5 kHz only. The minimum required rate (in kHz) at which y(t) should be sampled to recover m(t) is _______.


(10) is the correct answer.

Ques 63 GATE 2014 SET-3

Let H1(z) = (1 − pz−1)−1, H2(z) = (1 − qz−1)−1, H(z) = H1(z) + rH2(z). The quantities p, q, r are real numbers. Consider p = 1/2, q = −1/4, |r| < 1. If the zero of H(z) lies on the unit circle, then r = ________


(-0.5) is the correct answer.

Ques 64 GATE 2014 SET-3

Let h(t) denote the impulse response of a causal system with transfer function 1/(s+1). Consider the following three statements.
S1: The system is stable.
S2: h(t+1)/h(t) is independent of t for t > 0.
S3: A non-causal system with the same transfer function is stable.
For the above system,

A

only S1 and S2 are true

B

only S2 and S3 are true

C

only S1 and S3 are true

D

S1, S2 and S3 are true


(a) is the correct answer.

Ques 65 GATE 2014 SET-3

The z-transform of the sequence x[n] is given by X(z) = 1/(1−2z−1)2, with the region of convergence |z| > 2. Then, x[2] is ________.


(12) is the correct answer.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: