gate (2012) question paper electronics electrical 18494

7/29/2019 GATE (2012) Question Paper Electronics Electrical 18494

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1/12/13 GATE-(2012)-Question-Paper-electronics-electrical-18494

placement.freshersworld.com/placement-papers/GATE-(2012)/Question-Paper-Electronics-Electr ical-18494 2

c) real

d) conjugate symmetric

6.If the Laplace of the signal y(t) is Y(s)=1/(s(s-1)) then its final value is

a) 1

b) 0

c) 1

d) Unbounded

7.A linear system is equivalently represented by two sets of state equations.

X=AX+BU and W=CW+DU

The eigenvalues of the representations, are also computed as ()and ().which one of the statement is true?

a) []=[] and X=W

b) []=[] and X W

c) [] [] and X=W

d) [] [] and X W

8.If the closed loop transfer function of a control system is given as

T(s)=(s-5)/((s+2)(s+3)), then it is

a) A unstable system

b) An uncontrollable system

c) A minimum phase systemd) A non-minimum phase system

9.The input to a coherent detector is DSB-SC signal plus noise. The noise at the detector output is

a) The in-phase component

b) The quadrature-component

c) Zero

d) The envelope

10.In the PCM system ,if the code word length is increased from 6 to 8 bites ,the signal to quantization ratioimproves by the factor

a) [8/6]

b) 12

c) 16d) 8

11.The depth of penetration of the electromagnetic wave in a medium having conductivity at a frequency of1MHz is 25cm. the depth of penetration of frequency of 4MHz will be

a) 6.25cm

b) 12.50cm

c) 50cm

d) 100cm

12.A transmission line is feeding 1 watt of power to horn antenna having gain of 10 db. The antenna ismatched to transmission line. The total power radiated by horn antenna to free space is

a) 10 watts

b) 1 wattsc) 0.1 watts

d) 0.01 watts

13.Which of the following is NOT associated with a p-n junction?

a) Junction capacitance

b) Charge storage capacitance

c) Depletion capacitance

d) Channel length modulation

14.For a hertz dipole antenna ,the half power beam width (HPBW) in the E-plane is

a) 3600

b) 1800


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c) 900

d) 450

15.In the following limiter circuit, an input voltage vi=10sin100 t is applied .assume the diode drop is 0.7vwhen it is forward biased .the zener breakdown voltage is 6.8v .the maximum values of the output voltage is6.8v

a)6.1v,-0.7v

b) 0.7v,-7.5v

c) 7.5v,-0.7v

d)7.5v,-7.5v

16.The system of linear equation

4x+2y=7

2x+y=6 has

a) A unique solution

b) No solution

c) An infinite number of solutions

d) Exactly two distinct solutions

17.A silicon wafer has 100nm of oxide on it and is inserted in a furnace at a temperature above 10000c forfurther oxidation in dry oxygen rate .the oxidation rate

a) Is independent of current oxide thickness and temperature

b) Is independent of current oxide thickness but depends on temperature

c) slow down as the oxide grows

d) is zero as the exiting oxide prevents further oxidation

18.Which of the following is a solution to the differential equation (dx(t))/dt +3x(t)=0?

a)x(t)=3e-t

b)x(t)=2e-3t

c)x(t)=3/2 t2

d)x(t)=3t2

19.The equation sin (z)=10 has

a)no real complex solution

b)exactly two distinct complex solutions

c)a unique solutions

d)an infinite number of complex solutions

20.Consider the amplitude modulated (AM) signal for demodulating thesignal envelope detector. The minimum value of Ac should be

a)2

b)1

c)0.5

d)0

Questions 21 to 75 carry two mark each

21.The Thevenin equivalent impedance Zth between the nodes P and Q in the following circuit is


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a)1

b)1+s+1/s

c)2+s+1/s

d)

22.The driving point impedance of the following network

Is given by .the component values are

a)L=5H R=0.5 C=0.1F

b) L=0.1H R=0.5 C=5F

c) L=5H R=2 C=0.1F

d) L=0.1H R=2 C=5F

23.The circuit in the figure is used to charge the capacitance C alternately from two current sources asindicated .The switch S1 and S2 are mechanically coupled and connected as follows

For 2nTt


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25.The recursion relation to solve x=e-x using Newton-Raphson method is

a)xn+1=e-xn

b)xn+1=xn-e-x0

26.The recursion of the function at Z=2 is

a)-1/32

b) -1/16

c) 1/16

d) 1/32

27.Consider the matrix P=(0&1@-2&-3) .The value of ep is

28.In the Taylor series expansion of the exp(x)+sin(x) about the point x=, the coefficient of (x-)2 is

a)exp()

b)0.5 exp()

c)exp()+1

d)exp()-1

29.Px(x)=M exp (-2|x|) + N exp (-3|x|) is the probability density function for the real random variable x, Overthe entire x axis .M and N are both positive real numbers . The equation relating M ans N is

a)M+2/3N=1

b)2M+1/3N=1


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c)M+N=1

d)M+N=3

30.The value of the integral of the function g(x,y)=4x3+10y4 along the straight line segment from the point(0,0) to the point (1,2) in the x-y plane is

a)33

b)35

c)40

d)56

31.A linear ,time-invariant , casual continuous time system has a ratio transfer function with a simple polesat s=-2, and s=-4 and one simple zero at s= -1.a unit step u(t) is applied at the point of the system .atsteady state, The output has constant value of 1.The impulse response of the system

a)[exp(-2t)+exp(-4t)]u(t)

b)[-4exp(-2t)+12exp(-4t)-exp(-t)]u(t)

c)[-4exp(-2t)+12exp(-4t)]u(t)

d)[-0.5exp(-2t)+1.5exp(-4t)]u(t)

32.The signal x(t) is described by

x(t)={1 for -1t+1

{0 otherwise

Two of the angular frequencies at which its Fourier transform becomes zero are

a) ,2

b) 0.5 ,1.5

c) 0,

d) 2 ,2.5

33.A discrete time linear shift-invariant system has an impulse response h[n] with h[0]=1,h[1]=-1,h[2]=2,and zero otherwise . The system is given a input sequence ,x[n]with x[0]=x[3]=1 and otherwise. The number

of nonzero samples in the output sequence y[n],and the value of y[2] are respectively

a) 5,2

b) 6,2

c) 6,1

d) 5,3

34.Consider points P and Q in the x-y plane, with P=(1,0) and Q=(0,1). The line integral2_P^Q((xdx+ydy)@ ) along the semicircle with the line segment PQ as its diameter

a) is -1

b) is 0

c) is 1

d) depends on the direction (clockwise or anti clockwise) of the semicircle

35.Let x(t) be the input and y(t) be the output of a continuous time system.Match the system properties P1,P2and P3 with systems relations R1,R2,R3 and R4

Properties Relations

P1: linear but NOT time-invariant R1:y(t)=t2x(t)

P2:Time-invarient but NOT linear R2: y(t)=t|x(t)|

P3:linear and time invariant R3: y(t)=x(t-5)

a) (P1,R1),(P2,R3),(P3,R4)

b)(P1,R2),(P2,R3),(P3,R4)

c)(P1,R3),(P2,R1),(P3,R3)

d)(P1,R1),(P2,R2),(P3,R3)


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36.A memory less sources emits n symbols each with a probability p. The entropy of the source as a functionof n

a)increase as log n

b)decrease as log (1/n)

c)increase as n

d)increase as n log n

37.{x(n)} is a real-valued periodic sequence with a period N. x(n) and X(k) from N-point . Discrete Fouriertransform (DFT) pairs . The DFT Y(k) of the sequence

Y(n)=1/N _(r=0) (N-1)x(r)x(n+r) is

a)|X(k)|2

b) 1/N _(r=0)^(N-1)X(r)X'(k+r)

c) 1/N _(r=0)^(N-1)X(r)X(k+r)

d)0

38.Group 1 list a set of transfer functions. Group 2 gives a list of a possible step response y(t).match the stepresponse with corresponding transfer functions

Group 1

Group 2

a)P-3, Q-1, R-4, S-2

b) P-3, Q-2, R-4, S-1

c) P-2, Q-1, R-4, S-3

d) P-3, Q-4, R-1, S-2

39.A certain system has transfer function where is the parameter .Consider thestandard negative unity feedback configuration as shown below


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Which of the following statement are true?

a) the closed loop system is never stable for any values of

b) For some positive values of ,the closed loop system is stable , but not for all positive values

c) For all positive values of ,the closed loop system is stable

d)The closed loop system is stable for all values of,both positive and negative

40.A signal flow graph of a system is given below.

The set of equations that correspond to this signal flow graph is

FIG 16

41.The number of open right half plain poles of G(s)=10/(s^5+2s^4+3s^3+6s^2+5s+3) is

(a) 0 (b) 1

(c) 2 (d) 3

42.The magnitude of frequency of an under damped second order system is 5 at 0 rad/sec and peaks to 10/3 at 52 rad/sec. The transfer function of the system is

(a) 500/(s^2+ 10S+100) (b) 300/(s^2+ 5S+75)

(c) 720/(s^2+ 12S+144) (d) 1125/(s^2+ 25S+225)

43.Group I gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfythe condition R2C2>R1C1. The transfer function V0/V1 represents a kind of controller. Match the impedancesin Group I with the types of controllers in Group II

1. PID controller2. Lead compensator

3. Lag compensator

(a) Q-1, R-2 (b) Q-1, R-3

(c) Q-2, R-3 (d) Q-3, R-2

44.For the circuit shown in the following figure, transistors M1 and M2 are identical NMOS transistors.Assume that M2 is in saturation and the output is unloaded


9/15



The current Ix is related to Ibias as

(a) Ix= Ibias+ Is (b) Ix=Ibias

(c) Ix= Ibias- Is (d) Ix=Ibias-[VDD-(Vout//RE)]

45.The measured transconductance gm of an NMOS transistor operating in the linear region is plotted againstthe gate voltage Vg at a constant drain voltage VD. Which of the following figures represents the expecteddependence of gm on Vg?

(a). (b).

(c). (d).

46.Consider the following circuit using an ideal OPAMP. The I-V characteristics of the diode is described bythe relation I=I_(0 ) (e^(v/v_r )-1) where Vr=25mV, Io=1A and V is the voltage across the diode (taken aspositive for forward bias)

For an input voltage Vi=-1V, the output voltage V0 is.

(a) 0 V (b) 0.1 V

(c) 0.7 V (d) 1.1 V


10/15



47.The OPAMP circuit shown above represents a

(a) high pass filter (b) Low pass filter

(c) band pass filter (d) band reject filter

48.Two identical NMOS transistors M1 and M2 are connected as shown below Vbias is chosen so that bothtransistors are in saturation. The equivalent gm of the pair is defined to be (I_(out ))/(V_i ) at constantVout.

The equivalent gm of the pair is

(a) The sum of individual gms of the transistors

(b) The product of individual gms of the transistors

(c) Nearly equal to the gm of M1

(d) Nearly equal to gm/go of M2

49.An 8085 executes the following instruction

2710 LXI H,30A0H

2713 DAD H

2714 PCHIL

All addresses and constants are in Hex. Let PC be the contents of the program counter and HL be the contentsof the HL register pair just after executing PCHL

Which of the following statement is correct?

(a) PC = 2715H (b) PC = 30A0H

HL = 30A0H HL = 2715H

(c) PC = 6140H (d) PC = 6140H

HL = 6140H HL = 2715H

50.An astable multivibrator circuit using IC 555 timer is shown below. Assume that the circuit is oscillatingsteadily

The voltage Vc across the capacitor varies between

(a) 3V to 5V (b) 3V to 6V

(c) 3.6V to 6V (d) 3.6V to 5V

51.Silicon is doped with boron to a concentration of 41017 atoms/cm3.Assume the intrinsic carrierconcentration of silicon to be 1.51010 atoms/cm3and the value of kT/q to be 25 mV at 300K. Compared toundoped silicon, the Fermi level of doped silicon

(a) goes down by 0.13 eV

(b) goes up by 0.13 eV

(c) goes down by 0.427 eV

(d) goes up by 0.427 eV

52.The cross section of a JFET is shown in the following figure. Let VG be -2V and let VP be the initial pinch-off voltage. If the width W is doubled (with other geometrical parameters and doping levels remains thesame), then the ratio between the mutual transconductances of the initial and the modifies JFET is


11/15



(a) 4 (b) 1/2((1-(2/V_P ))/(1-(1/(2V_P)))

(c) (1-(2/V_P ))/(1-(1/(2V_P))) (d)(1-(2/(V_P )))/(1-(1/(2(V_P ))))

53.Consider the Schmidt trigger circuit shown below

A triangular wave which goes from -12V to 12V is applied to the inverting input of the OPAMP. Assume thatthe output of the OPAMP swings from +15 V to -15V. The voltage at the non-inverting input switches between

(a) -15V and +12V (b) -7.5V and +7.5 V

(c) -5V and +5V (d) 0V and 5V

54.The logic function implemented by the following circuit at the terminal OUT is

(a) P NOR Q (b) P NAND Q

(c) P OR Q (d) P AND Q

55.Consider the following assertions.

S1: For Zener effect to occur, a very abrupt junction is required.

S2: For quantum tunnelling to occur, a very narrow energy barrier is required.

Which of the following is correct?

(a) Only S2 is true

(b) S1and S2 are both true but S2 is not a reason for S1

(c) S1 and S2 are both true but S2 is a reason for S1

(d) Both S1 and S2 are false

56.The two numbers represented in signed 2s complement form are

P=11101101 and Q=11100110. If Q is subtracted from P, the value obtained in signed 2s compliment form is

(a) 100000111 (b) 00000111

(c) 11111001 (d) 111111001

57.Which of the following Boolean Expressions correctly represents the relation between P,Q,R and M1?

(a) M1 = (P OR Q) XOR R (b) m1 = (P AND Q) XOR R

(c) m1 = (P NOR Q) XOR R (d) m1= (P XOR Q) XOR R

58.For the circuit shown in the following figure, I0-I3 are inputs to the: multiplexer. R(MSB) and S are controlbits

The output Z can be represented as


12/15



(a) PQ + PQS + Q R S

(b) PQ + PQR + P Q S

(c) P Q R+ P QR+ PQRS + Q R S

(d) PQR + PQRS + Q R S

59.For each of the positive edge-triggered J-K flip flop used in the following figure, the propagation delay isT

Which of the following waveforms correctly represents the output at Q1

(a)

(b)

(c)

(d)

60..For the circuit shown in the figure, D has a transition from 0 to 1 after CLK changes from 1 to 0. Assumegate delays to be negligible

Which of the following statements is true?

(a) Q goes to 1 at the CLK transition and stays at 1

(b) Q goes to ) at the CLK transition and stays at 0

(c) Q goes to 1 at the CLK transition and goes to 0 when D goes to 1

(d) Q goes to 0 at the CLK transition and goes to 1 when D goes to 1

61.A rectangular waveguide of internal dimensions (a =4 cm abd b=3 cm) is to be operated in TE11 mode.The minimum operating frequency is

(a) 6.25GHz (b) 6.0GHz

(c) 5.0 GHz (d) 3.75GHz

62.One end of a loss-less transmission line having the characteristic impedance of 75 and length 1 cm isshort-circuited. At 3GHz, the input impedance at the other end of the transmission line is

(a) 0 (b) Resistive

(c) Capacitive (d) Inductive

63.A uniform plane wave in the free space is normallu incident on an infinitely thick dielectric slab (dielectricconstant r =9). The magnitude of the reflection coefficient is


13/15

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