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1521
GATE ECE 1992 | Question 1.29
Which of the following signals is/are periodic? $\mathrm{S}(t)=\cos 2 t+\cos 3 t+\cos 5 t$ $\mathrm{S}(t)=\exp (j 8 \pi t)$ $S(t)=\exp (-7 t) \sin 10 \pi t$ $S(t)=\cos 2 t \cos 4 t$
Which of the following signals is/are periodic?$\mathrm{S}(t)=\cos 2 t+\cos 3 t+\cos 5 t$$\mathrm{S}(t)=\exp (j 8 \pi t)$$S(t)=\exp (-7 t) \sin 10 \pi t$$S(t)=\cos 2 t \c...
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1522
GATE ECE 1992 | Question 1.30
If $G(f)$ represents the Fourier transform of a signal $g$ (t) which is real and odd symmetric in time, then $\mathrm{G}(f)$ is complex $G(f)$ is imaginary $\mathrm{G}(f)$ is real $\mathrm{G}(f)$ is real and non-negative.
If $G(f)$ represents the Fourier transform of a signal $g$ (t) which is real and odd symmetric in time, then$\mathrm{G}(f)$ is complex$G(f)$ is imaginary$\mathrm{G}(f)$ i...
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1523
GATE ECE 1992 | Question 1.31
The maximum power efficiency of an $\text{AM}$ modulator is $25 \; \%$ $50 \; \%$ $75 \; \%$ $100 \; \%$
The maximum power efficiency of an $\text{AM}$ modulator is$25 \; \%$$50 \; \%$$75 \; \%$$100 \; \%$
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1524
GATE ECE 1992 | Question 1.32
For a random variable $x$ following the probability density function, $\mathrm{p}(x)$, shown in given figure the mean and the variance are, respectively, $1 / 2$ and $2 / 3$ $1$ and $4 / 3$ $1$ and $2 / 3$ $2$ and $4 / 3$
For a random variable $x$ following the probability density function, $\mathrm{p}(x)$, shown in given figure the mean and the variance are, respectively,$1 / 2$ and $2 / ...
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1526
GATE ECE 1992 | Question 1.34
Coherent demodulation of $\text{FSK}$ signal can be effected using correlation receiver Bandpass filters and envelope detectors matched filter discriminator detection.
Coherent demodulation of $\text{FSK}$ signal can be effected usingcorrelation receiverBandpass filters and envelope detectorsmatched filterdiscriminator detection.
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1527
GATE ECE 1992 | Question 1.35
Source encoding in a data communication system is done is order to enhance the information transmission rate reduce the transmission errors conserve the transmitted power facilitate clock recovery in the receiver.
Source encoding in a data communication system is done is order toenhance the information transmission ratereduce the transmission errorsconserve the transmitted powerfac...
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1528
GATE ECE 1992 | Question 1.36
A transmission line whose characteristic impedance is a pure resistance must be a lossless line must be a distortionless line may not be a lossless line $(d)$ may not be a distortionless line.
A transmission line whose characteristic impedance is a pure resistancemust be a lossless linemust be a distortionless linemay not be a lossless line$(d)$ may not be a di...
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1530
GATE ECE 1992 | Question 1.38
Two dissimilar antennas having their maximum directivities equal, must have their beamwidths also equal cannot have their beamwidths equal because they are dissimilar antennas may not necessarily have their maximum power gains equal must have their effictive aperture areas (capture areas) also equal.
Two dissimilar antennas having their maximum directivities equal,must have their beamwidths also equalcannot have their beamwidths equal because they are dissimilar anten...
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1531
GATE ECE 1992 | Question 1.39
The beamwidth-between-first null of uniform linear array of $\mathrm{N}$ equally-spaced (element spacing $=d$ ), equally-excited antennas is determined by $\mathrm{N}$ alone and not by $d$ $d$ alone and not by $\mathrm{N}$ the ratio, $(\mathrm{N} / d)$ the product, $(\mathrm{N} d)$
The beamwidth-between-first null of uniform linear array of $\mathrm{N}$ equally-spaced (element spacing $=d$ ), equally-excited antennas is determined by$\mathrm{N}$ alo...
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1532
GATE ECE 1992 | Question 1.40
In a multicavity magnetron, strapping is employed primarily to prevent mode jumping to increase the separation between the resonant frequencies in the $\pi$-mode and in the adjacent modes to reduce the back heating of the cathode to increase the output of the magnetron.
In a multicavity magnetron, strapping is employed primarilyto prevent mode jumpingto increase the separation between the resonant frequencies in the $\pi$-mode and in the...
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1533
GATE ECE 1991 | Question 1.1
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system is non-causal system stable system causal system unstable system
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system isnon-causal systemstable systemcausal systemuns...
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1534
GATE ECE 1991 | Question 1.2
In a series RLC high $Q$ circuit, the current peaks at a frequency equal to the resonant frequency greater than the resonant frequency less than the resonant frequency none of the above
In a series RLC high $Q$ circuit, the current peaks at a frequencyequal to the resonant frequencygreater than the resonant frequencyless than the resonant frequencynone o...
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1536
GATE ECE 1991 | Question 1.4
Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplying the individual $z$-parameter matrix $h$-parameter matrix $y$-parameter matrix $\text{ABCD}$ parameter matrix
Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplyi...
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1537
GATE ECE 1991 | Question 1.5
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type. low pass high pass all pass band pass
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type.low passhigh passall passband pass
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1539
GATE ECE 1991 | Question 1.7
In the signal flow graph of Figure, the gain $c / r$ will be $\frac{11}{9}$ $\frac{22}{15}$ $\frac{24}{23}$ $\frac{44}{23}$
In the signal flow graph of Figure, the gain $c / r$ will be$\frac{11}{9}$$\frac{22}{15}$$\frac{24}{23}$$\frac{44}{23}$
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1540
GATE ECE 1991 | Question 1.8
A second order system has a transfer function given by $ G(s)=\frac{25}{s^2+8 s+25} $ If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$, the second peak in response will occur at $\pi \mathrm{sec}$ $\frac{\pi}{3}$ sec $\frac{2 \pi}{3} \sec$ $\frac{\pi}{2}$ sec
A second order system has a transfer function given by$$ G(s)=\frac{25}{s^2+8 s+25} $$If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$...
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1541
GATE ECE 1991 | Question 1.9
The open loop transfer function of a feedback control system is: $ G(s) H(s)=\frac{1}{(s+1)^3} $ The gain margin of the system is: $2$ $4$ $8$ $16$
The open loop transfer function of a feedback control system is:$$ G(s) H(s)=\frac{1}{(s+1)^3} $$The gain margin of the system is:$2$$4$$8$$16$
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1542
GATE ECE 1991 | Question 1.10
A unity feedback control system has the open loop transfer function $ G(s)=\frac{4(1+2 s)}{s^2(s+2)} $ If the input to the system is a unit ramp, the steady state error will be $0$ $0.5$ $2$ $\textsf{infinity}$
A unity feedback control system has the open loop transfer function$$ G(s)=\frac{4(1+2 s)}{s^2(s+2)} $$If the input to the system is a unit ramp, the steady state error w...
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1544
GATE ECE 1991 | Question 1.12
A linear second order single input continuous time system is described by the following set of differential equations ... and $u(t)$ is the control variable. The system is: controllable and stable controllable but unstable uncontrollable and unstable uncontrollable and stable
A linear second order single input continuous time system is described by the following set of differential equations$$ \begin{aligned} &x_1(t)=-2 x_1(t)+4 x_2(t) \\ &x_2...
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1546
GATE ECE 1991 | Question 1.14
A silicon sample is uniformly doped with $10^{16}$ phosphorous atoms $/ \mathrm{cm}^3$ and $2 \times 10^{16}$ boron atoms $/ \mathrm{cm}^3$. If all the dopants are fully ionized, the material is $\mathrm{n}$ ... $2 \times 10^{16} / \mathrm{cm}^3$ $T_2$ will get damaged and $T_1$ will be safe
A silicon sample is uniformly doped with $10^{16}$ phosphorous atoms $/ \mathrm{cm}^3$ and $2 \times 10^{16}$ boron atoms $/ \mathrm{cm}^3$. If all the dopants are fully ...
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1547
GATE ECE 1991 | Question 1.15
An $n$-type silicon sample, having electron mobility $\mu_n=$ twice the hole mobility $\mu_p$, is subjected to a steady illumination such that the electron concentration doubles from its thermal equilibrium value. As a result, the conductivity of the sample increases by a factor of ...
An $n$-type silicon sample, having electron mobility $\mu_n=$ twice the hole mobility $\mu_p$, is subjected to a steady illumination such that the electron concentration ...
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1548
GATE ECE 1991 | Question 1.16
The small signal capacitances of an abrupt $P_1-n$ junction is $1 \mathrm{nF} / \mathrm{Cm}^2$ at zero bias. If the built in voltage is $1$ volt, the capacitance at a reverse bias voltage of $99$ volts is equal to $\ldots$
The small signal capacitances of an abrupt $P_1-n$ junction is $1 \mathrm{nF} / \mathrm{Cm}^2$ at zero bias. If the built in voltage is $1$ volt, the capacitance at a rev...
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1551
GATE ECE 1991 | Question 1.19
The built-in potential of the gate junction of a $n$-channel $\text{JFET}$ is $0.5$ volts. The drain current saturates at $V_{D S}=4.0$ volts when $V_{G S}=0$. The pinch off voltage is _________.
The built-in potential of the gate junction of a $n$-channel $\text{JFET}$ is $0.5$ volts. The drain current saturates at $V_{D S}=4.0$ volts when $V_{G S}=0$. The pinch ...
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1552
GATE ECE 1991 | Question 1.20
In figure, all transistors are identical and have a high value of beta. The voltage $V_{D C}$ is equal to _________.
In figure, all transistors are identical and have a high value of beta. The voltage $V_{D C}$ is equal to_________.
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1553
GATE ECE 1991 | Question 1.21
In figure, both transistors are identical and have a high value of beta. Take the $dc$ base-emitter voltage drop as $0.7$ volt and $\mathrm{KT} / \mathrm{q}=25 \; \mathrm{mV}$. The small signal low frequency voltage gain $\left(V_o / V_i\right)$ is equal to__________.
In figure, both transistors are identical and have a high value of beta. Take the $dc$ base-emitter voltage drop as $0.7$ volt and $\mathrm{KT} / \mathrm{q}=25 \; \mathrm...
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1554
GATE ECE 1991 | Question 1.22
In figure the input $V_1$ is a $100 \mathrm{~Hz}$ triangular wave having a peak to peak amplitude of 2 volts and an average value of zero volts. Given that the diode is ideal, the average value of the output $V_0$ is ___________.
In figure the input $V_1$ is a $100 \mathrm{~Hz}$ triangular wave having a peak to peak amplitude of 2 volts and an average value of zero volts. Given that the diode is i...
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1556
GATE ECE 1991 | Question 1.24
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
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1557
GATE ECE 1991 | Question 1.25
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity gain amplifier, the amplifier with gain twenty has less negative feedback greater input impedance less bandwidth none of the above
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity ga...
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1558
GATE ECE 1991 | Question 1.26
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
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1559
GATE ECE 1991 | Question 1.27
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
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1560
GATE ECE 1991 | Question 1.28
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
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