electronics and communication engg_full paper_2004.pdf

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Electronics and Communication Engg - 2004

Full Paper

1. Consider the network graph shown in the figure. Which one of the following is NOT a ' tree'of this graph?

1)

2)

3)

4)

2. The equivalent inductance measured between the terminals 1 and 2 for the circuit shownin the figure is

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1)

2)

3)

4)

6. The impurity commonly used for realizing the base region of a silicon n-p-n transistor is

1) Gallium

2) Indium

3) Boron

4) Phosphorus

7. If for a silicon n-p-n transistor, the base-to-emitter voltage (VBE) is 0.7V and the collector-

to-base voltage (VCB) is 0.2V, then the transistor is operating in the

1) normal active mode

2) saturation mode

3) inverse active mode

4) cutoff mode

8. Consider the following statements S1 and S2.S1 : The of a bipolar transistor reduces if the base width is increased.S2 : The of a bipolar transistor increases if the doping concentration in the base is

increasedWhich one of the following is correct?



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1) S1 is FALSE and S2 is TRUE

2) both S1 and S2 are TRUE

3) both S1 and S2 are FALSE

4) S1 is TRUE and S2 is FALSE

9. An ideal op-amp is an ideal1) voltage controlled current source

2) voltage controlled voltage source

3) current controlled current source

4) current controlled voltage source

10. Voltage series feedback (also called series-shunt feedback) results in

1) increase in both input and output impedances

2) decrease in both input and output impedances

3) increase in input impedance and decrease in output impedance4) decrease in input impedance and increase in output impedance

11. The circuit in the given Figure is a

1) low-pass filter

2) high-pass filter

3) band-pass filter

4) band-reject filter

12. AssumingVCEsat= 0.2 V and= 50, the minimum base current (I B) required to drive the

transistor in the given Figure to saturation is

1) 56 A

2) 140 mA

3) 60 A4) 3 mA



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13. A master slave flip-flop has the characteristic that

1) change in the input immediately reflected in the output

2) change in the output occurs when the state of the master is affected

3) change in the output occurs when the state of the slave is affected

4) both the master and the slave states are affected at the same time

14. The range of signed decimal numbers that can be represented by 6-bite 1's complementnumber is

1) -31 to +31

2) -63 to +64

3) -64 to +63

4) -32 to +31

15. A digital system is required to amplify a binary-encoded audio signal. The user should beable to control the gain of the amplifier from a minimum to a maximum in 100 increments.The minimum number of bits required to encode, in straight binary, is

1) 8 2) 6 3) 5 4) 7

16. Choose the correct one from among the alternatives A, B, C, D after matching an itemfrom Group 1 with the most appropriate item in Group 2.

Group 1 Group 2

P Shift register 1 Frequency division

Q Counter 2 Addressing in memory chips

R Decoder 3Serial to parallel dataconversion

1) P-3 Q-2 R-1

2) P-3 Q-1 R-2

3) P-2 Q-1 R-3

4) P-1 Q-2 R-2

17. Figure give below shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For

the inputs shown in the given Figure, the output Y is

1) 0

2) 1

3) AB

4)



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18. Given figure is the voltage transfer characteristic of

1) an NMOS inverter with enhancement mode transistor as load

2) an NMOS inverter with depletion mode transistor as load

3) A CMOS inverter

4) A BJT inverter

19. The impulse response h[n] of a linear time-invariant system is given byh[n] = u[n + 3] + u[n - 2] - 2u[n - 7]where u[n] is the unit step sequence. The above system is

1) stable but not causal

2) stable and causal

3) causal but unstable

4) unstable and not causal

20. The distribution function fx (x) of a random variable X is shown in the figure. The

probability that X = 1 is

1) zero 2) 0.25 3) 0.55 4) 0.30

21. The z-transfrom of a system is H (z) = z/(z - 0.2) If the ROC is | z | < 0.2, then the impulseresponse of the system is

1) (0.2)nu[n]

2) (0.2)nu[-n -1]

3) -(0.2)nu[n]

4) -(0.2)nu[-n -1]

22. The Fourier transform of a conjugate symmetric function is always1) imaginary



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2) conjugate anti-symmetric

3) real

4) conjugate symmetric

23. The gain margin for the system with open-loop transfer function G (s) H (z) = (2(1 + z))/s2,

is1) 2) 0 3) 1 4) -

24. Given the G (s) H (z) = K/(s(s + 1)(s + 3)), the point of intersection of the asymptotes of theroot loci with the real axis is

1) -4 2) 1.33 3) -1.33 4) 4

25. In a PCM system, if the code word length is increased from 6 to 8 bits, the signal toquantization noise ratio improves by the factor

1) 8/6 2) 12 3) 16 4) 8

26. An AM signal is detected using an envelope detector. The carrier frequency andmodulating signal frequency are 1 MHz and 2 kHz respectively. An appropriate value forthe time constant of the envelope detector is

1) 500 sec

2) 20 sec

3) 0.2 sec

4) 1 sec

27. An AM signal and a narrow-band FM signal with identical carriers, modulating signals andmodulation indices of 0.1 are added together. The resultant signal can be closelyapproximated by

1) broadband FM

2) SSB with carrier

3) DSB-SC

4) SSB without carrier

28. In the output of a DM speech encoder, the consecutive pulses are of opposite polarityduring time interval t1 t t2.This indicates that during this interval

1) the input to the modulator is essentially constant

2) the modulator is going through slope overload

3) the accumulator is in saturation

4) the speech signal is being sampled at the Nyquist rate

29. The phase velocity of an electromagnetic wave propagating in a hallow metallicrectangular waveguide in theTE10mode is

1) equal to its group velocity2) less than the velocity of light in free space



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3) equal to the velocity of light in free space

4) greater than the velocity of light in free space

30. Consider a lossless antenna with a directive gain of +6db. If 1 mW of power is fed to it thetotal power radiated by the antenna will be

1) 4 mW2) 1 mW

3) 7 mW

4) (1/4) mW

31. For the lattice circuit shown in the figure, Za= j2and Z b= 2. The values of the open

circuit impedance parameters Z = are

1)

2)

3)

4)

32. The circuit shown in the figure has initial current iL(0-) = 1 A through the inductor and an

initial voltage vC(0-) = -1V across the capacitor. For input v(t) = u(t), the Laplace transform

of the current i(t) for t 0 is

1) s/(s2+ s + 1)

2) (s + 2)/(s2+ s + 1)

3) (s - 2)/(s2+ s + 1)

4) (s - 2)/(s2+ s - 1)



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33. Consider the Bode magnitude plot shown in the given figure. The transfer function H(s) is

1) (s + 10)/((s + 1)(s + 100))

2) (10(s + 1))/((s + 1)(s + 100))

3) (102(s + 1))/((s + 10)(s + 100))

4) (103(s + 100))/((s + 1)(s + 10))

34. The transfer function H (s) = (V0(s))/(Vi(s)) of an R-L-C circuit is given by

H (s) = 106/(s2+ 20s 106)The Quality factor (Q-factor) of this circuit is

1) 25 2) 50 3) 100 4) 5000

35. For the circuit shown in the figure, the initial conditions are zero. Its transfer functionH(s) = (Vc(s))/(Vi(s)) is

1) 1/(s2+ 106s + 106)

2) 106/(s2+ 103s + 106)

3) 103/(s2+ 103s + 106)

4) 106/(s2+ 106s + 106)

36. A system described by the following differential equation (d2y/dt2) + 3(dy/dt) + 2y = x(t) isinitially at rest. For input x(t) = 2u(t), the output y(t) is

1) (1 - 2e-t+ e-2t) u (t)

2) (1 + 2e-t- e-2t) u (t)

3) (0.5 + e-t+ 1.5e-2t) u (t)

4) (0.5 + 2e-t+ 2e-2t) u (t)



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37. Consider the following statements S1 and S2S1: At the resonant frequency the impedance of a series R-L-C circuit is zero.S2: In a parallel G-L-C circuit, increasing the conductance G results in increase in its Qfactor.Which one of the following is correct?


2) both S1 and S2 are TRUE

3) S1 is TRUE and S2 is FALSE


38. In an abrupt p-n junction, the doping concentrations on p-side and n-side are NA = 9 x

1016/cm3and ND= 1 x 1016/cm3respectively. The p-n junction is reverse biased and the

total depletion width is 3 m. The depletion width on the p-side is

1) 2.7 m

2) 0.3 m

3) 2.25 m

4) 0.75 m

39. The resistivity of a uniformly doped n-type silicon sample is 0.5-cm. If the electron

mobility (n) is 1250 cm2/V-sec and the charge of an electron is 1.6 x 10-19Coulomb, the

donor impurity concentration (ND) in the sample is

1) 2 x 1016/cm3

2) 1 x 1016/cm3

3) 2.5 x 1015/cm3

4) 2 x 1015/cm3

40. Consider an abrupt p-junction. LetVbibe the built-in potential of this junction and VR be

the applied reverse bias. If the junction capacitance (Cj) is 1 pF for

Vbi+ VR= 1V, then forVbi+ VR= 4V, Cjwill be

1) 4 pF

2) 2 pF

3) 0.25 pF4) 0.5 pF

41. Consider the following statements S1 and S2.S1 : The threshold voltage (VT) of a MOS capacitor decreases with increase in gate oxidethicknessS2 : The threshold voltage (VT) of a MOS capacitor decreases with increase in substrate

doping concentration.Which one of the following is correct?


2) both S1 and S2 are TRUE3) S1 is TRUE and S2 is FALSE



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42. The drain of an n-channel MOSFET is shorted to the gate so that VGS = VDS. The

threshold voltage (VT) of MOSFET is 1V. If the drain current (ID) is 1 mA for VGS = 2V,

then for VGS= 3V, IDis

1) 2 mA2) 3 mA

3) 9 mA

4) 4 mA

43. The longest wavelength that can be absorbed by silicon, which has the bandgap of 1.12eV, is 1.1 m. If the longest wavelength that can be absorbed by another material is 0.87m, then the bandgap of this material is

1) 1.416 eV

2) 0.886 eV3) 0.854 eV

4) 0.706 eV

44. The neutral base width of a bipolar transistor, biased in the active region, is 0.5m. The

maximum electron concentration and the diffusion constant in the base are 1014/cm3and

Dn= 25 cm2/sec respectively. Assuming negligible recombination in the base, the collector

current density is (the electron charge is 1.6 x 10-19coulomb)

1) 800 A/cm2

2) 8 A/cm2

3) 200 A/cm2

4) 2 A/cm2

45. Assuming that the of the transistor is extremely large and VBE= 0.7V, ICand VCEin the

circuit shown in the figure are

1) IC= 1 mA, VCE= 4.7 V

2) IC= 0.5 mA, VCE= 3.75 V3) IC= 1 mA, VCE= 2.5 V



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4) IC= 0.5 mA, VCE= 3.9 V

46. A bipolar transistor is operating in the active region with a collector current of 1 mA.Assuming that the of the transistor is 100 and the thermal voltage (V T) is 25 mV, the

transconductance (gm) and the input resistance (r) of the transistor in the common

emitter configuration, are1) gm= 25 mA /V and r= 15.625 k

2) gm= 40 mA /V and r= 4.0 k

3) gm= 25 mA /V and r= 2.5 k

4) gm= 40 mA /V and r= 2.5 k

47. The value of C required for sinusoidal oscillations of frequency 1kHz in the circuit of givenfigure is

1) (1/2) F

2) 2F

3) (1/(26)) F

4) 26 F

48. In the op-amp circuit given in the figure, the load current ILis

1) -(vs/R2)

2) (vs/R2)

3) -(vs/RL)



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4) -(vs/RL)

49. In the voltage regulator shown in the figure, the load current can vary from 100 mA to 500mA. Assuming that the Zener diode is ideal (i.e., the Zener knee current is negligibly smalland Zener resistance is zero in the breakdown region), the value of R is

1) 7

2) 70

3) (70/3)

4) 14

50. In a full-wave rectifier using two ideal diodes, Vdcand Vmare the dc and peak values of

the voltage respectively across a resistive load. If PIV is the peak inverse voltage of thediode, then the appropriate relationships for this rectifier are

1) Vdc= (Vm/), PIV = 2Vm

2) Vdc= 2(Vm/), PIV = 2Vm

3) Vdc= 2(Vm/), PIV = Vm

4) Vdc= (Vm/), PIV = Vm

51. The minimum number of 2- to -1 multiplexers required to realize a 4-to 1 mutliplexer is

1) 1 2) 2 3) 3 4) 4

52. The Boolean expression AC + B is equivalent to

1) C + B + AC

2) C + AC + B + C

3) AC + B + C + ABC

4) ABC + B + AB + AC

53. 11001, 1001 and 111001 correspond to the 2's complement representation of which oneof the following sets of number?

1) 25, 9 and 57 respectively

2) -6, -6 and -6 respectively



54. The 8255 Programmable Peripheral Interface is used as described below.I. An A/D converter is interfaced to a microprocessor through an 8255. The conversion is



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initiated by a signal from the 8255 on Port C. A signal on Port C causes data to be strobedinto Port A.II. Two computers exchange data using a pair of 8255s. Port A works as a bidirectionaldata port supported by appropriate handshaking signals.The appropriate modes of operation of the 8255 for I and II would be

1) Mode 0 for I and Mode 1 for II




55. The number of memory cycles required to execute the following 8085 instructionsI. LDA 3000HII. LXI D, F0F 1HWould be

1) 2 for I and 2 for II

2) 4 for I and 3 for II3) 3 for I and 3 for II

4) 3 for I and 4 for II

56. In the modulo-6 ripple counter shown in the given figure, the output of the 2-input gate isused to clear the J-K flip-flops.

The 2-input gate is

1) a NAND gate

2) a NOR gate

3) an OR gate

4) an AND gate

57. Consider the sequence of 8085 instructions given below.LXI H, 9258, MOV A, M, CMA, MOV M, AWhich one of the following is performed by this sequence?

1) contents of location 9258 are moved to the accumulator

2) contents of location 9258 are compared with the contents of the accumulator

3) contents of location 8529 are complemented and stored in location 8529

4) contents of location 5892 are complemented and stored in location 5892

58. A Boolean function f of two variables x and y is defined as follows:



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f(0,0) = f(0, 1) = f(1, 1) = 1; f(1, 0) = 0Assuming complements of x and y are not available, a minimum cost solution for realizing fusing only 2-input NOR gates and 2-input OR gates (each having unit cost) would have atotal cost of

1) 1 unit

2) 4 unit

3) 3 unit

4) 2 unit

59. It is desired to multiply the numbers 0AH by 0BH and store the result in the accumulator.The numbers are available in registers B and C respectively. A part of the 8085 programfor this purpose is given below:MVI A, 00HLoop; --------------------- ................................

................................HLT END

The sequence of instruction to the complete the program would be

1) JNZ LOOP, ADD B, DCR C

2) ADD B, JNZ LOOP, DCR C

3) DCR C, JNZ LOOP, ADD B

4) ADD B, DCR C, JNZ LOOP

60. 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal ispassed through an ideal low-pass filter with cut-off frequency 800 Hz. The output signal

has the frequency1) zero Hz

2) 0.75 kHz

3) 0.5 kHz

4) 0.25 kHz

61. A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos2(4p x

103t). the convolved signal will be a

1) DC

2) 12 kHz sinusoid

3) 8 kHz sinusoid

4) 14 kHz sinusoid



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62. Consider the sequence x [n] = [-4 - j5 1 + j2 4] The conjugate anti-symmetric part of the sequence is

1) [ -4 - j2.5 j2 4 - j2.5]

2) [-j2.5 1 j2.5]

3) [- j5 j2 0]4) [ -4 1 4]

63. A casual LTI system is described by the difference equation2y[n] = y [n - 2] - 2x [n] + x [n - 1]The system is stable only if

1) | | = 2, | | < 2

2) | | > 2, | | > 2

3) | | < 2, any value of

4) | | < 2, any value of

64. A causal system having the transfer function H (s) = 1/(s + 2) is excited with 10u(t). Thetime at which the output reaches 99% of its steady state value is

1) 2.7 sec

2) 2.5 sec

3) 2.4 sec

4) 2.1 sec

65. The impulse response h[n] of a linear time invariant system is given as

h[n] =

If the input to the above system is the sequence e(jn/4), then the output is

1) 42e(jn/4)

2) 42e(-jn/4)

3) 4e(jn/4)

4) -4e(jn/4)

66. Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown inthe given figure.Then Y(f) is



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1) -(1/2) X (f/2)e-j2f

2) -(1/2) X (f/2)ej2f

3) - X (f/2)ej2f

4) - X (f/2)e-j2f

67. A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. Theapproximate phase of the system response at 20 Hz is

1) -90

2) 0

3) 90

4) -180

68. Consider the signal flow graph shown in the figure below. The gain (X5/X1) is

1) (1 - (be + cf + dg))/abc

2) bedg/(1 - (be + cf + dg))

3) abcd/(1 - (be + cf + dg) + bedg)

4) (1 - (be + cf + dg) + bedg)/abcd

69. If A = , then sin At is

1)

2)

3)



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4)

70. The open-loop transfer of a unity feedback system is G(s) = K/(s(s2+ s + 2)(s + 3)) Therange of K for which the system is stable is

1) (21/44) > K > 02) 13 > K > 0

3) (21/4) < K <

4) -6 < K <

71. For the polynomial P(s) = s5+ s4+ 2s3+ 2s2+ 3s + 15, the number of roots which lie inthe right halt of the s-plane is

1) 4 2) 2 3) 3 4) 1

72. The state variable equation of a system are :1. x1= -3x1- x2+ u

2. x2= 2x1 y = x1+ u

The system is

1) controllable but not observable

2) observable but not controllable

3) neither controllable nor observable

4) controllable and observable

73. Given A = , the state transition matrix eAtis given by

1)

2)

3)

4)

74. Consider the signal x(t) shown in the figure. Let h(t) denote the impulse response of thefilter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slop ofh(t) in the interval 3 < t < sec is



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1) (1/2) sec-1

2) -1 sec-1

3) -(1/2) sec-1

4) 1 sec-1

75. A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through acable that has 40 dB loss. If the effective one-sided noise spectral density at the receiver is

10-20Watt/Hz, then the signal to noise ratio at the receiver is

1) 50 db

2) 30 db

3) 40 db

4) 60 db

76. A 100 MHz carrier of 1 V amplitude and a 1 MHz modulating signal of 1 V amplitude are

fed to a balanced modulator. The output of the modulator is passed through an ideal high-pass filter with cut-off frequency of 100 MHz. The output of the filter is added with 100MHz signals of 1 V amplitude and 90 phase shift as shown in Figure. The envelope of theresultant signal is

1) constant2)

3)

4)

77. Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10.1 kHz areadded together. The combined signal is given to an ideal frequency detector. The outputof the detector is

1) 0.1 kHz sinusoid

2) 20.1 kHz sinusoid



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3) a linear function of time

4) a constant

78. Consider a binary digital communication system with equally likely 0's and 1's. Whenbinary 0 is transmitted the voltage at the detector input can lie between the levels -0.25 Vand +0.25 V with equal probability: when binary 1 is transmitted, the voltage at thedetector can have any value between 0 and 1 V with equal probability. If the detector hasa threshold of 2.0 V (i.e., if the received signal is greater than 0.2 V, the bit is taken as 1),the average bit error probability is

1) 0.15 2) 0.2 3) 0.05 4) 0.5

79. A random variable X with uniform density in the interval 0 to 1 is quantized as follows:If 0 < X < 0.3, xq= 0

If 0.3 < X < 1, xq= 0.7

Where xq is the quantized value of X.

The root-mean square value of the quantization noise is1) 0.573

2) 0.198

3) 2.205

4) 0.266

80. Choose the correct one from among the alternative A, B, C, D after matching an item fromGroup 1 with the most appropriate item in Group 2.

Group 1 Group 2

1. FM P. Slope overload2. DM Q. -law

3. PSK R. Envelop detector

4. PCM S. Capture effect

T. Hilbert transform

U. Matched filter

1) 1-T, 2-P, 3-U, 4-S

2) 1-S, 2-U, 3-P, 4-T

3) 1-S, 2-P, 3-U, 4-Q4) 1-U, 2-R, 3-S, 4-Q

81. Three analog signals, having bandwidths 1200 Hz, 600 Hz and 600 Hz, are sampled attheir respective Nyquist rates, encoded with 12 bit words, and time division multiplexed.The bit rate for the multiplexed signal is

1) 115.2 kbps

2) 28.8 kbps

3) 57.6 kbps

4) 38.4 kbps



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82. Consider a system shown in the Figure. Let X(f) and Y(f) denote the Fourier transforms ofx(t) and y(t) respectively. The ideal HPF has the cutoff frequency frequency 10 kHz.

The positive frequencies where Y(f) has spectral peaks are

1) 1 kHz and 24 kHz

2) 2 kHz and 24 kHz

3) 1 kHz and 14 kHz

4) 2 kHz and 14 kHz

83. A parallel plate air-filled capacitor has plate area of 10-4m2and plate separation of 10-3

m. It is connected to a 0.5 V, 3.6 GHz source. The magnitude of the displacement current

is (0= 1/36x 10-9F/m)

1) 10 mA

2) 100 mA3) 10 A

4) 1.59 mA

84. A source produces binary data at the rate of 10 kbps. The binary symbols are representedas shown in the figure given below.

The source output is transmitted using two modulation schemes, namely Binary PSK(BPSK) and Quadrature PSK (QPSK). Let B1 and B2 be the bandwidth requirements of

BPSK and QPSK respectively. Assuming that the bandwidth of the above rectangularpulses is 10 kHz, B1and B2are

1) B1= 20 kHz, B2= 20 kHz

2) B1= 10 kHz, B2= 20 kHz

3) B1= 20 kHz, B2= 10 kHz4) B1= 10 kHz, B2= 10 kHz



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85. Consider a 300quarter-wave long (at 1 GHz) transmission line as shown in the figure. Itis connected to a 10 V, 50 sources at one end and is left open circuited at the other end.The magnitude of the voltage at the open circuit end of the line is

1) 10 V

2) 5 V

3) 60 V

4) 60/7 V

86. In a microwave test bench, why is the microwave signal amplitude modulated at 1 kHz ?

1) To increase the sensitivity of measurement

2) To transmit the signal to a far-off place

3) To study amplitude modulation

4) Because crystal detector fails at microwave frequencies

87. If = ( x+ j y)ejkz - jt and = (k/) ( y+ j x)e

jkz - jt the time averaged Poynting

vector is

1) null vector2) (k/) z

3) (2k/) z

4) (k/2) z

88. Consider an impedance Z = R + jX marked with point P in an impedance Smith chart asshown in the figure. The movement from point P along a constant resistance circle in theclockwise direction by an angle 45 is equivalent to

1) adding an inductance in series with Z

2) adding a capacitance in series with Z3) adding an inductance in shunt across Z



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4) adding a capacitance in shunt across Z

89. A plane electromagnetic wave propagating in free space in incident normally on a largeslab of loss-less, non-magnetic, dielectric material with > 0. Maxima and minima are

observed when the electric field is measured in front of the slab. The maximum electricfield is found to be 5 times the minimum field. The intrinsic impedance of the mediumshould be

1) 120

2) 60

3) 600

4) 24

90. A lossless transmission line is terminated in a load which reflects a part of the incidentpower. The measured VSWR is 2. the percentage of the power that is reflected back is

1) 57.73

2) 33.33

3) 0.11

4) 11.11



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Answer Key

1) 2 2) 4 3) 1 4) 1 5) 3 6) 3 7) 1 8) 4 9) 2 10) 3

11) 1 12) 1 13) 3 14) 1 15) 4 16) 2 17) 1 18) 3 19) 1 20) 4

21) 4 22) 3 23) 4 24) 3 25) 3 26) 2 27) 2 28) 1 29) 4 30) 1

31) 4 32) 2 33) 3 34) 2 35) 2 36) 1 37) 4 38) 2 39) 2 40) 4

41) 1 42) 4 43) 1 44) 2 45) 3 46) 4 47) 1 48) 1 49) 4 50) 2

51) 2 52) 4 53) 3 54) 4 55) 2 56) 3 57) 1 58) 4 59) 4 60) 3

61) 4 62) 1 63) 3 64) 3 65) 1 66) 2 67) 1 68) 3 69) 2 70) 1

71) 2 72) 4 73) 2 74) 4 75) 1 76) 3 77) 2 78) 1 79) 2 80) 3

81) 3 82) 2 83) 1 84) 3 85) 4 86) 4 87) 1 88) 1 89) 4 90) 4

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