Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2015 Set-1 Questions with Answer

Ques 14 GATE 2015 SET-1

In the circuit shown, switch SW is closed at t=0. Assuming zero initial conditions, the value of vc(t) (in Volts) at t=1 sec is


(2.48 to 2.58) is the correct answer.

Ques 15 GATE 2015 SET-1

Consider a system of linear equations:
x − 2y + 3z = 1,
x − 3y + 4z = 3,
−2x + 4y − 6z = k.
The value of k for which the system has infinitely many solutions is


(2) is the correct answer.

Ques 16 GATE 2015 SET-1

A function f(x) = 1 − x2 + x3 is defined in the closed interval [−1,1]. The value of x in the open interval (−1,1) for which the mean value theorem is satisfied is

A

-1/2

B

-1/3

C

1/3

D

1/2


(b) is the correct answer.

Ques 17 GATE 2015 SET-1

Suppose A and B are two independent events with P(A) ≠ 0 and P(B) ≠ 0. Let A' be the event defined by A' = A. Which one of the following statements is FALSE?

A

P(A' ∩ B) = P(A)P(B)

B

P(A'|B) = P(A)

C

P(A' ∪ B) = P(A) + P(B)

D

P(A') = P(A)


(c) is the correct answer.

Ques 18 GATE 2015 SET-1

Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE?

A

The residue of z/(z2-1) at z=1 is 1/2

B

∮ z2 dz = 0

C

(1/(2πi)) ∮ (1/z) dz = 1

D

z* (complex conjugate of z) is an analytical function


(d) is the correct answer.

Ques 19 GATE 2015 SET-1

The value of p such that the vector is an eigenvector of the matrix is


(16.5 to 17.5) is the correct answer.

Ques 20 GATE 2015 SET-1

In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is


(24 to 26) is the correct answer.

Ques 21 GATE 2015 SET-1

In the network shown in the figure, all resistors are identical with R=300 Ω. The resistance Rab (in Ω) of the network is


(99.5 to 100.5) is the correct answer.

Ques 22 GATE 2015 SET-1

In the given circuit, the values of V1 and V2 respectively are

A

(A) 5 V, 25 V

B

(B) 10 V, 30 V

C

(C) 15 V, 35 V

D

(D) 20 V, 30 V


(a) is the correct answer.

Ques 23 GATE 2015 SET-1

A silicon sample is uniformly doped with donor type impurities with a concentration of 1016 cm−3. The electron and hole mobilities in the sample are 1200 cm2/V-s and 400 cm2/V-s respectively. Assume complete ionization of impurities. The charge of an electron is 1.6 × 10−19 C. The resistivity of the sample (in Ω-cm) is


(0.50 to 0.54) is the correct answer.

Ques 24 GATE 2015 SET-1

For the circuit with ideal diodes shown in the figure, the shape of the output (vo) for the given sine wave input (vi) will be

A

B

C

D


(c) is the correct answer.

Ques 25 GATE 2015 SET-1

In the circuit shown below, the Zener diode is ideal and the Zener voltage is 6 V. The output voltage Vo (in volts) is


(5) is the correct answer.

Ques 26 GATE 2015 SET-1

In the circuit shown, the switch SW is thrown from position A to position B at time t=0. The energy (in μJ) taken from the 3 V source to charge the 0.1 μF capacitor from 0 V to 3 V is

A

0.3

B

0.45

C

0.9

D

3


(d) is the correct answer.

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