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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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GATE ECE 1994 | Question 2.10
A common emitter transistor amplifier has a cullector corrent of $1.0 \mathrm{~mA}$ when its base current is $25 \; \mu \mathrm{A}$ at the room temperature. It's input resistance is approximately equal to ___________.
A common emitter transistor amplifier has a cullector corrent of $1.0 \mathrm{~mA}$ when its base current is $25 \; \mu \mathrm{A}$ at the room temperature. It's input re...
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GATE ECE 1994 | Question 2.11
A pulse having a rise time of $40 \mathrm{n \; sec}$ is displayed on a $\text{CRO}$ of $12 \; \mathrm{MHz}$ bandwidth. The rise time of the pulse as observed on the $\text{CRO}$ would be approximately equal to ____________.
A pulse having a rise time of $40 \mathrm{n \; sec}$ is displayed on a $\text{CRO}$ of $12 \; \mathrm{MHz}$ bandwidth. The rise time of the pulse as observed on the $\tex...
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GATE ECE 1994 | Question 2.12
For the $2 \mathrm{N} \; 338$ transistor, the manufacturer specifics $\mathrm{P}_{\max }=100 \mathrm{~mW}$ at $25^{\circ} \mathrm{C}$ free-air temperature and the maximum Junction temperature, $\mathrm{T}_{\mathrm{jmax}{ }^{\prime}}=125^{\circ} \mathrm{C}$. Its thermal resistance is ___________.
For the $2 \mathrm{N} \; 338$ transistor, the manufacturer specifics $\mathrm{P}_{\max }=100 \mathrm{~mW}$ at $25^{\circ} \mathrm{C}$ free-air temperature and the maximum...
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GATE ECE 1994 | Question 2.13
The frequency compensation is used in $\text{op-amps}$ to increase its __________.
The frequency compensation is used in $\text{op-amps}$ to increase its __________.
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GATE ECE 1994 | Question 2.14
A $2 \; \mu \; \mathrm{sec}$ pulse can be strecthed into a $10 \mathrm{~m \; sec}$ pulse by using a ________ circuit.
A $2 \; \mu \; \mathrm{sec}$ pulse can be strecthed into a $10 \mathrm{~m \; sec}$ pulse by using a ________ circuit.
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GATE ECE 1994 | Question 2.15
Synchronous counters are __________ than the ripple counters.
Synchronous counters are __________ than the ripple counters.
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GATE ECE 1994 | Question 2.16
A ring oscillator consisting of $5$ inverters is running at a frequency of $1.0 \; \mathrm{MHz}$. The propagation delay per gate is_________ $n \; \mathrm{sec}$.
A ring oscillator consisting of $5$ inverters is running at a frequency of $1.0 \; \mathrm{MHz}$. The propagation delay per gate is_________ $n \; \mathrm{sec}$.
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GATE ECE 1994 | Question 2.17
A $10 \; \mathrm{MHz}$ carrier is frequency modulated by a sinusoidal signal of $500 \; \mathrm{hz}$, the maximum frequency deviation being $50 \; \mathrm{kHz}$. The bandwidth required, as given by the Carson's rule is ____________.
A $10 \; \mathrm{MHz}$ carrier is frequency modulated by a sinusoidal signal of $500 \; \mathrm{hz}$, the maximum frequency deviation being $50 \; \mathrm{kHz}$. The band...
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GATE ECE 1994 | Question 2.18
The bandwidth required for the transmission of a $\text{PCM}$ signal increases by a factor of _________ when the number of quantization levels is increased from $4$ to $64$ .
The bandwidth required for the transmission of a $\text{PCM}$ signal increases by a factor of _________ when the number of quantization levels is increased from $4$ to $6...
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GATE ECE 1994 | Question 2.19
A load impedance, $(200+\mathrm{jo}) \; \Omega$ is to be matched to a $50 \; \Omega$ lossless transmission line by using a a quarter wave line transformer $\text{(QWT)}$. The characteristic impedance of the $\text{QWT}$ required is ____________.
A load impedance, $(200+\mathrm{jo}) \; \Omega$ is to be matched to a $50 \; \Omega$ lossless transmission line by using a a quarter wave line transformer $\text{(QWT)}$....
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GATE ECE 1994 | Question 2.20
The interior of a $\frac{20}{3} \mathrm{~cm} \times \frac{20}{4} \mathrm{~cm}$ rectangular wave guide is completely filled with a dielectric of $\varepsilon_{r}=4$. Waves of free space wave-lengths shorter than ___________ can be propagated in the $TE_{11}$ mode.
The interior of a $\frac{20}{3} \mathrm{~cm} \times \frac{20}{4} \mathrm{~cm}$ rectangular wave guide is completely filled with a dielectric of $\varepsilon_{r}=4$. Waves...
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GATE ECE 1994 | Question 3.1
$Z(s)=\frac{5}{s^{2}+4}$ represents the input impedance of a network.
$Z(s)=\frac{5}{s^{2}+4}$ represents the input impedance of a network.
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