Electronics and Communication Gate 2013 Set-2 Questions with Answer

Ques 27 Gate 2013 SET-2


What is the chance that a leap year, selected at random, will contain 53 Saturdays?

A

2/7

B

3/7

C

1/7

D

5/7


(a) is the correct answer.

Ques 28 Gate 2013 SET-2


Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.
Which one of the following is the best inference from the above statement?

A

The emergence of nationalism in colonial India led to our Independence.

B

Nationalism in India emerged in the context of colonialism.

C

Nationalism in India is homogeneous.

D

Nationalism in India is heterogeneous.


(d) is the correct answer.

Ques 29 Gate 2013 SET-2


A monochromatic plane wave of wavelength λ = 600 μm is propagating in the direction as shown in the figure below. The angle of incidence θi and the expression for Ei are

A

60° and E0x - âz)/√2 e-jπ×104(√3x + z)/2 V/m

B

45° and E0x + âz)/√2 e-jπ×104√3z/2 V/m

C

45° and E0x - âz)/√2 e-jπ×104(√3x + z)/2 V/m

D

60° and E0x - âz)/√2 e-jπ×104√3z/2 V/m


(c) is the correct answer.

Ques 30 Gate 2013 SET-2


A monochromatic plane wave of wavelength λ = 600 μm is propagating in the direction as shown in the figure below.

The expression for Er is

A

E0x + âz)/√2 × 0.23 e-jπ×104(√3x - z)/2 V/m

B

E0x + âz)/√2 e-jπ×104√3z/2 V/m

C

E0x + âz)/√2 × 0.44 e-jπ×104(√3x - z)/2 V/m

D

E0x + âz)/√2 e-jπ×104(√3x + z)/2 V/m


(c) is the correct answer.

Ques 31 Gate 2013 SET-2


The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively

A

1.22 and 0.1

B

0.81 and 0.1

C

-1.22 and 0.1

D

2.44 and 0.2


(a) is the correct answer.

Ques 32 Gate 2013 SET-2


Consider a vector field A(r). The closed loop line integral ∮A·dl can be expressed as

A

∬(∇×A)·ds over the closed surface bounded by the loop

B

∭(∇·A)dv over the closed volume bounded by the loop

C

∭(∇·A)dv over the open volume bounded by the loop

D

∬(∇×A)·ds over the open surface bounded by the loop


(d) is the correct answer.

Ques 33 Gate 2013 SET-2


The divergence of the vector field A = xax + yay + zaz is

A

0

B

1/3

C

1

D

3


(d) is the correct answer.

Ques 34 Gate 2013 SET-2


The small-signal resistance (i.e., dVB/dID) in kΩ offered by the n-channel MOSFET M shown in the figure below, at a bias point of VB = 2 V is (device data for M: device transconductance parameter kN = μnCox(W/L) = 40 μA/V2, threshold voltage VTN = 1 V, and neglect body effect and channel length modulation effects)

A

12.5

B

25

C

50

D

100


(b) is the correct answer.

Ques 35 GATE 2013 SET-2


In a MOSFET operating in the saturation region, the channel length modulation effect causes

A

an increase in the gate-source capacitance

B

a decrease in the transconductance

C

a decrease in the unity-gain cutoff frequency

D

a decrease in the output resistance


(d) is the correct answer.

Ques 36 Gate 2013 SET-2


In a forward biased pn junction diode, the sequence of events that best describes the mechanism of current flow is

A

injection, and subsequent diffusion and recombination of minority carriers

B

injection, and subsequent drift and generation of minority carriers

C

extraction, and subsequent diffusion and generation of minority carriers

D

extraction, and subsequent drift and recombination of minority carriers


(a) is the correct answer.

Ques 37 Gate 2013 SET-2


In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation (using steam or water vapor) produces

A

superior quality oxide with a higher growth rate

B

inferior quality oxide with a higher growth rate

C

inferior quality oxide with a lower growth rate

D

superior quality oxide with a lower growth rate


(d) is the correct answer.

Ques 38 GATE 2013 SET-2


The minimum eigenvalue of the following matrix is

A

0

B

1

C

2

D

3


(a) is the correct answer.

Ques 39 GATE 2013 SET-2


A polynomial f(x) = a4x4 + a3x3 + a2x2 + a1x - a0 with all coefficients positive has

A

no real roots

B

no negative real root

C

odd number of real roots

D

at least one positive and one negative real root


(d) is the correct answer.

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