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1081
GATE ECE 2006 | Question: 74
Common Data for Questions 74, 75: Let $g(t)=p(t)^{*} p(t)$, where * denotes convolution and $p(t)=u(t)-u(t-1)$ with $u(t)$ being the unit step function The impulse response of filter matched to the signal $s(t)=g(t)-\delta(t-2)^{*} g(t)$ is given as $s(1-t)$ $-s(1-t)$ $-s(t)$ $s(t)$
Common Data for Questions 74, 75:Let $g(t)=p(t)^{*} p(t)$, where * denotes convolution and $p(t)=u(t)-u(t-1)$ with $u(t)$ being the unit step functionThe impulse response...
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1086
GATE ECE 2006 | Question: 79
Statement for Linked Answer Questions 78 and 79 The following two questions refer to wide sense stationary stochastic processes The parameters of the system obtained in $\text{Q.78}$ would be first order $\text{R-L}$ ... lowpass filter would have $\mathrm{R}=1 \Omega, \mathrm{L}=4 \mathrm{H}, \mathrm{C}=4 \mathrm{F}$
Statement for Linked Answer Questions 78 and 79The following two questions refer to wide sense stationary stochastic processesThe parameters of the system obtained in $\t...
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1087
GATE ECE 2006 | Question: 80
Statement for Linked Answer Questions 80 and 81 Consider the following Amplitude Modulated (AM) signal, where $f_{m}<\mathrm{B}$ \[x_{\mathrm{AM}}(t)=10\left(1+0.5 \sin 2 \pi f_{m} t\right) \cos 2 \pi f_{c} t\] The average side-band power for the $\text{AM}$ signal given above is $25$ $12.5$ $6.25$ $3.125$
Statement for Linked Answer Questions 80 and 81Consider the following Amplitude Modulated (AM) signal, where $f_{m}<\mathrm{B}$\[x_{\mathrm{AM}}(t)=10\left(1+0.5 \sin 2 \...
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1089
GATE ECE 2006 | Question: 82
Statement for Linked Answer Questions 82 and 83 Consider a unity-gain feedback control system whose open-loop transfer function is \[G(s)=\frac{as+1}{s^{2}}\] The value of '$a$' so that the system has a phase-margin equal to $\frac{\pi}{4}$ is approximately equal to $2.40$ $1.40$ $0.84$ $0.74$
Statement for Linked Answer Questions 82 and 83Consider a unity-gain feedback control system whose open-loop transfer function is\[G(s)=\frac{as+1}{s^{2}}\]The value of '...
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1093
GATE ECE 1994 | Question 1.1
The Laplace transform of a unit ramp function starting at $t=a$, is $\frac{1}{(s+a)^{2}}$ $\frac{e^{-as}}{(s+a)^{2}}$ $\frac{e^{-as}}{s^{2}}$ $\frac{a}{s^{2}}$
The Laplace transform of a unit ramp function starting at $t=a$, is$\frac{1}{(s+a)^{2}}$$\frac{e^{-as}}{(s+a)^{2}}$$\frac{e^{-as}}{s^{2}}$$\frac{a}{s^{2}}$
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1094
GATE ECE 1994 | Question: 1.2
The Fourice Series of a odd periọdic function, contains only odd harmonics even harmonics cosine terms sine terms
The Fourice Series of a odd periọdic function, contains onlyodd harmonicseven harmonicscosine termssine terms
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1095
GATE ECE 1994 | Question 1.3
A series $\text{LCR}$ circuit consisting of $R=10 \; \Omega$, $\left|X_{L}\right|=20 \; \Omega$ and $\left|X_{C}\right|=20 \; \Omega$, is connected across an $a . c$. supply of $200 \text{V rms}$ . The $\text{rms}$ ... $400 \; \angle-90^{\circ} \; \mathrm{V}$ $400 \; \angle-90^{\circ} \; \mathrm{V}$
A series $\text{LCR}$ circuit consisting of $R=10 \; \Omega$, $\left|X_{L}\right|=20 \; \Omega$ and $\left|X_{C}\right|=20 \; \Omega$, is connected across an $a . c$. sup...
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1096
GATE ECE 1994 | Question 1.4
A ramp voltage, $v(t)=100$ volts, is applied to an $R C$ differentiating circuit with $R=5 \; \mathrm{k} \Omega$ and $C=4$ $\mu \mathrm{F}$. The maximum output voltage is $0.2$ volts $2.0$ volts $10.0$ volts $50.0$ volts
A ramp voltage, $v(t)=100$ volts, is applied to an $R C$ differentiating circuit with $R=5 \; \mathrm{k} \Omega$ and $C=4$ $\mu \mathrm{F}$. The maximum output voltage is...
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1097
GATE ECE 1994 | Question 1.5
The $3-d \mathrm{B}$ bandwidth of a typical second-order system with the transfer function $\frac{\mathrm{C}(s)}{\mathrm{R}(s)}=\frac{w_{n}^{2}}{s^{2} \mathrm{t}+2 x w_{n} s+w_{n}^{2}}$ is given by $\omega_{n}=\sqrt{1-2 \xi^{2}}$ ... $\omega_{n}=\sqrt{\left.1-2 \xi^{2}\right)+\sqrt{4 \xi^{4}-4 \xi^{2}+2}}$
The $3-d \mathrm{B}$ bandwidth of a typical second-order system with the transfer function$\frac{\mathrm{C}(s)}{\mathrm{R}(s)}=\frac{w_{n}^{2}}{s^{2} \mathrm{t}+2 x w_{n}...
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1098
GATE ECE 1994 | Question 1.6
If the open-loop transfer function is a ratio of a numerator polynomial of degree ' $m$ ' and a denominator polynomial of degree '$n$', then the integer $(n-m)$ represents the number of breakaway points unstable poles separate root loci asymtotes
If the open-loop transfer function is a ratio of a numerator polynomial of degree ' $m$ ' and a denominator polynomial of degree '$n$', then the integer $(n-m)$ represent...
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1100
GATE ECE 1994 | Question 1.8
The threshold voltage of an $n$ channel $\text{MOSFET}$ can be increased by increasing the channel dopant concentration reducing the channel dopant concentration reducing the gate-oxide thickness reducing the channel length
The threshold voltage of an $n$ channel $\text{MOSFET}$ can be increased byincreasing the channel dopant concentrationreducing the channel dopant concentrationreducing th...
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1101
GATE ECE 1994 | Question 1.9
A class - A transformer coupled, transistor power amplifier is required to deliver a power output of $10$ watts. The maximum power rating of the transistor should not be less than $5 \mathrm{~W}$ $10 \mathrm{~W}$ $20 \mathrm{~W}$ $40 \mathrm{~W}$
A class - A transformer coupled, transistor power amplifier is required to deliver a power output of $10$ watts. The maximum power rating of the transistor should not be ...
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1102
GATE ECE 1994 | Question 1.10
Data can be changed from spatial code to temporal code and vice-versa by using $\text{ADC}$s and $\text{DAC}$s shift-registers synchronous counters timers
Data can be changed from spatial code to temporal code and vice-versa by using$\text{ADC}$s and $\text{DAC}$sshift-registerssynchronous counterstimers
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1103
GATE ECE 1994 | Question 1.11
The output of a logic gate is ‘$1$’ when all its inputs are at logic ‘$0$’. Then gate is either a $\text{NAND}$ or an $\text{EX-OR}$ gate a $\text{NOR}$ or an $\text{EX-NOR}$ gate an $\text{OR}$ or an $\text{EX-NOR}$ gate an $\text{AND}$ or an $\text{EX-OR}$ gate
The output of a logic gate is ‘$1$’ when all its inputs are at logic ‘$0$’. Then gate is eithera $\text{NAND}$ or an $\text{EX-OR}$ gatea $\text{NOR}$ or an $\tex...
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1104
GATE ECE 1994 | Question 1.12
A $\text{PLA}$ can be used as a microprocessor as a dynamic memory to realise a sequential logic to realise a combinational logic
A $\text{PLA}$ can be usedas a microprocessoras a dynamic memoryto realise a sequential logicto realise a combinational logic
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1105
GATE ECE 1994 | Question 1.13
A dynamic $\text{RAM}$ consists of $6$ transistors $2$ transistors and $2$ capacitors $1$ transistor and $1$ capacitor $2$ capacitors only
A dynamic $\text{RAM}$ consists of$6$ transistors$2$ transistors and $2$ capacitors$1$ transistor and $1$ capacitor$2$ capacitors only
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1106
GATE ECE 1994 | Question 1.14
$v(t)=5[\cos (106 \; \pi t)-\sin (103 \; \pi t) \times \sin (106 \; \pi t)$ represents $\text{DSB}$ suppressed carrier signal $\text{AM}$ signal $\text{SSB}$ upper sideband signal Narrow band $\text{FM}$ signal
$v(t)=5[\cos (106 \; \pi t)-\sin (103 \; \pi t) \times \sin (106 \; \pi t)$ represents$\text{DSB}$ suppressed carrier signal$\text{AM}$ signal$\text{SSB}$ upper sideband ...
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1107
GATE ECE 1994 | Question 1.15
Increased pulse-width in the flat-top sampling, leads to attenuation of high frequencies in reproduction attenuation of low frequencies in reproduction greater aliasing errors in reproduction no harmful effects in reproduction
Increased pulse-width in the flat-top sampling, leads toattenuation of high frequencies in reproductionattenuation of low frequencies in reproductiongreater aliasing erro...
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1108
GATE ECE 1994 | Question 1.16
Medium wave radio signals may be received at far off distances at night because radio waves travel faster at night ground wave attenuation is low at night the sky wave is stronger at night their is no fading at night
Medium wave radio signals may be received at far off distances at night becauseradio waves travel faster at nightground wave attenuation is low at nightthe sky wave is st...
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1110
GATE ECE 1994 | Question 1.18
A plane eelctromagnetic wave travelling along $+z$ – direction, has its electric field given by $\mathrm{E}_{x}=2 \cos \left({ }^{*} t\right)$ and $\mathrm{E}_{y}=2 \cos \left({ }^{*} t+90^{\circ}\right)$. The wave is linearly polarised right circularly polarised left circularly polarised elliptically polarised
A plane eelctromagnetic wave travelling along $+z$ – direction, has its electric field given by$\mathrm{E}_{x}=2 \cos \left({ }^{*} t\right)$ and $\mathrm{E}_{y}=2 \cos...
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1111
GATE ECE 1994 | Question 1.19
For a dipole antenna the radiation intensity is maximum along the normal to the dipole axis the current distribution along its length is uniform irrespective of the length the effective length equals its physical length the input impedance is independent of the location of the feed-point
For a dipole antennathe radiation intensity is maximum along the normal to the dipole axisthe current distribution along its length is uniform irrespective of the lengtht...
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1112
GATE ECE 1994 | Question 2.1
$ \quad f_{c} \vec{A} \cdot d \vec{t} =\int_{s}---. d \vec{s}$
$ \quad f_{c} \vec{A} \cdot d \vec{t} =\int_{s} -. d \vec{s}$
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1113
GATE ECE 1994 | Question 2.2
The rank of an $(m \times n)$ matrix $(m < n)$ cannot be more than __________.
The rank of an $(m \times n)$ matrix $(m < n)$ cannot be more than __________.
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1114
GATE ECE 1994 | Question 2.3
The condition that a $z$-port network is reciprocal, can be expressed in terms of its $\mathrm{ABCD}$ parameters as _________.
The condition that a $z$-port network is reciprocal, can be expressed in terms of its $\mathrm{ABCD}$ parameters as _________.
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1115
GATE ECE 1994 | Question 2.4
A generator of internal impedance, $Z_{\mathrm{G}^{\prime}}$ deliver maximum power to a load impedance, $Z_{I^{\prime}}$ only if $Z_{I^{\prime}}=$ _________.
A generator of internal impedance, $Z_{\mathrm{G}^{\prime}}$ deliver maximum power to a load impedance, $Z_{I^{\prime}}$ only if $Z_{I^{\prime}}=$ _________.
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1116
GATE ECE 1994 | Question 2.5
The open loop frequency response of a system at two particular frequencies are given by : $1.2 \; \angle \; 180^{\circ}$ and $1.0 \; \angle \; -190^{\circ}$. The closed loop unity feed back control is then ___________.
The open loop frequency response of a system at two particular frequencies are given by : $1.2 \; \angle \; 180^{\circ}$ and $1.0 \; \angle \; -190^{\circ}$.The closed lo...
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1117
GATE ECE 1994 | Question 2.6
The poles of a continuous time oscillators are ___________.
The poles of a continuous time oscillators are ___________.
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1118
GATE ECE 1994 | Question 2.7
The forward dynamic resistance of a junction diode varies ________ as the forward current.
The forward dynamic resistance of a junction diode varies ________ as the forward current.
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1119
GATE ECE 1994 | Question 2.8
The transit time of the current carriers through the channel of an $\text{FET}$ decides its _________ chracteristics.
The transit time of the current carriers through the channel of an $\text{FET}$ decides its _________ chracteristics.
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1120
GATE ECE 1994 | Question 2.9
In order to reduce the harmonic distortion in an amplifier, its dynamic range has to be ___________.
In order to reduce the harmonic distortion in an amplifier, its dynamic range has to be ___________.
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