GATE Electronics online test paper 4
by Esha Upadhyay · Published · Updated
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Question 1 of 15
1. Question
In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this?
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Question 2 of 15
2. Question
The openloop transfer function of a unityfeedback control system is
G(s) = K/ (s*s + 5s + 5)
The value of K at the breakaway point of the feedback control systemâ€™s rootlocus plot is
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Question 3 of 15
3. Question
The openloop transfer function of a unityfeedback control system is given by
G(s) = K / [s(s+2)]
For the peak overshoot of the closedloop system to a unit step input to be 10%, the value of K is
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Question 4 of 15
4. Question
The transfer function of a linear time invariant system is given by
H(s) = 2s4 5s3 + 5s 2
The number of zeros in the right half of the splane is (read number after S as power for example s3 is cube of s)
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Question 5 of 15
5. Question
Consider a discrete memoryless source with alphabet
S = {S0,S1,S2,â€¦â€¦}
and respective probabilities of occurrence P = {1/2,1/4,1/8,1/16,1/32,â€¦â€¦}
The entropy of the source in bits is
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Question 6 of 15
6. Question
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times (0 is transmitted as 000, and 1 is transmitted as 111). It is assumed that the source puts out symbols independently and with equal probability. The
decoder operates as follows: In a block of three received bits, if the number of zeros exceeds the number of ones, the decoder decides in favor of a 0, and if the number of ones exceeds the number of zeros, the decoder decides in favor of a 1. Assuming a binary symmetric channel with crossover probability p = 0.1, the average probability of error isCorrect
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Question 7 of 15
7. Question
An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t) = s(t) + n(t), where n(t) is additive white Gaussian noise with power spectral density No/2 . The received signal is passed through a filter with impulse response h(t). Let Es and Eh denote the energies of the pulse s(t) and the filter h(t), respectively. When the signaltonoise ratio (SNR) is maximized at the output of the filter (SNRmax), which of the following holds?
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Question 8 of 15
8. Question
An antenna pointing in a certain direction has a noise temperature of 50 K. The ambient temperature is 290 K. The antenna is connected to a preamplifier that has a noise figure of 2 dB and an available gain of 40 dB over an effective bandwidth of 12 MHz. The effective input noise temperature Te for the amplifier at the output of preamplifier is
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Question 9 of 15
9. Question
Two lossless Xband horn antennas are separated by a distance of 200Î». The amplitude reflection coefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18, respectively. The maximum directivities of the transmitting and receiving antennas (over the isotropic antenna) are 18 dB and 22 dB, respectively. Assuming that the input power in the lossless transmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned and polarization matched, the power ( in mW) delivered to the load at the receiver is
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Question 10 of 15
10. Question
Consider a system of linear equations
x2y+3z = 1
x3y+4z = 1
2x+4y6z=k.The value of k for which system has infinitely many solutions are
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Question 11 of 15
11. Question
A function f(x) = 1x2+x3 is defined in closed interval [1,1].The value of x in the open interval (1,1) for which the mean value theorem is satisfied is
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Question 12 of 15
12. Question
A region of negative differential resistance is observed in current voltage characteristics of a silicon PN junction if
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Question 13 of 15
13. Question
In an 8085 microprocessor the shift registers which store the result of an addition and the overflow bit are respectively
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Question 14 of 15
14. Question
A 16KB memory array is designed as square with an aspect ratio of one (no of rows equal to no of columns).The minimum no of address lines needed for the row decoder is
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Question 15 of 15
15. Question
Consider a 4 bit D to A converter. The analog value corresponding to digital signals of value 0000 and 0001 are 0V and .0625V respectively.The analog value in volts corresponding to the digital signal 1111 is
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