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Recent questions tagged gate2010-ec
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41
GATE ECE 2010 | Question: 41
A continuous time $\text{LTI}$ system is described by \[ \frac{d^{2} y(t)}{d t^{2}}+4 \frac{d y(t)}{d t}+3 y(t)=2 \frac{d x(t)}{d t}+4 x(t) \] Assuming zero initial conditions, the response $y(t)$ of the above system for the input $x(t)=e^{-2 t} u(t)$ is given by ... $\left(e^{-t}+e^{-3t}\right) u(t)$ $\left(e^{t}+e^{3 t}\right) u(t)$
A continuous time $\text{LTI}$ system is described by\[ \frac{d^{2} y(t)}{d t^{2}}+4 \frac{d y(t)}{d t}+3 y(t)=2 \frac{d x(t)}{d t}+4 x(t) \]Assuming zero initial conditi...
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GATE ECE 2010 | Question: 42
The transfer function of a discrete time $\text{LTI}$ system is given by $H(z)=\frac{2-\frac{3}{4} z^{-1}}{1-\frac{3}{4} z^{-1}+\frac{1}{8} z^{-2}}$ Consider the following statements: $\text{S1:}$ ... $\mathrm{S} 3$ are true Both $\text{S1}$ and $\text{S3}$ are true $\text{S1, S2}$ and $\text{S3}$ are all true
The transfer function of a discrete time $\text{LTI}$ system is given by$$H(z)=\frac{2-\frac{3}{4} z^{-1}}{1-\frac{3}{4} z^{-1}+\frac{1}{8} z^{-2}}$$Consider the followin...
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GATE ECE 2010 | Question: 43
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by $400 \mathrm{~Hz}$ $600 \mathrm{~Hz}$ $1200 \mathrm{~Hz}$ $1400 \mathrm{~Hz}$
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by$400 \mathrm{~Hz}$$600 \mathrm{~Hz}$$120...
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GATE ECE 2010 | Question: 44
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ ... $\text{G}_{c}(s)=1+\frac{2}{s}+3 s$
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ in the feedforw...
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45
GATE ECE 2010 | Question: 45
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below. Let $\text{S}_\text{Y}(f)$ be the power spectral density of $\text{Y}(t)$. Which one of the following ... any integer $\text{S}_\text{Y}(f)=0$ for $f=(2 n+1) f_{0} , f_{0}=1 \; \mathrm{kHz}, n$ any integer
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below.Let $\tex...
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GATE ECE 2010 | Question: 46
A plane wave having the electric field component $\vec{E}_{\mathrm{t}}=24 \cos \left(3 \times 10^{3} t-\beta y \right) \hat{a}_{z} \mathrm{~V} / \mathrm{m}$ and traveling in free space is incident normally on a lossless medium with $\mu=\mu_{0}$ ... $-\frac{1}{10 \pi} \cos \left(3 \times 10^{8} t+y\right) \hat{a}_{x} \mathrm{~A} / \mathrm{m}$
A plane wave having the electric field component $\vec{E}_{\mathrm{t}}=24 \cos \left(3 \times 10^{3} t-\beta y \right) \hat{a}_{z} \mathrm{~V} / \mathrm{m}$ and traveling...
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GATE ECE 2010 | Question: 47
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is $1.00$ $1.64$ $2.50$ $3.00$
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is$1.00$$1.64$$2.50$$3.00$...
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GATE ECE 2010 | Question: 48
Consider the common emitter amplifier shown below with the following circuit parameters: ... The resistance seen by the source $\nu_{s}$ is $258 \; \Omega$ $1258 \; \Omega$ $93 \; \mathrm{k} \Omega$ $\infty$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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GATE ECE 2010 | Question: 49
Consider the common emitter amplifier shown below with the following circuit parameters: ... $\mathrm{C}_{2}$ is $33.9 \mathrm{~Hz}$ $27.1 \mathrm{~Hz}$ $13.6 \mathrm{~Hz}$ $16.9 \mathrm{~Hz}$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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GATE ECE 2010 | Question: 50
The signal flow graph of a system is shown below. The state variable representation of the system can be ...
The signal flow graph of a system is shown below.The state variable representation of the system can be$\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\...
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GATE ECE 2010 | Question: 51
The signal flow graph of a system is shown below. The transfer function of the system is $\frac{s+1}{s^{2}+1}$ $\frac{s-1}{s^{2}+1}$ $\frac{s+1}{s^{2}+s+1}$ $\frac{s-1}{s^{2}+s+1}$
The signal flow graph of a system is shown below.The transfer function of the system is$\frac{s+1}{s^{2}+1}$$\frac{s-1}{s^{2}+1}$$\frac{s+1}{s^{2}+s+1}$$\frac{s-1}{s^{2}+...
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GATE ECE 2010 | Question: 52
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $10 \; \mathrm{kV} / \mathrm{cm}$ $26 \; \mathrm{kV} / \mathrm{cm}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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GATE ECE 2010 | Question: 53
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $6.48 \times 10^{2} \mathrm{~A} / \mathrm{cm}^{2}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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GATE ECE 2010 | Question: 54
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... $V^{-1}$ ) is $10^{10}$ $10^{}$ $1.414 \times 10^{-10}$ $2 \times 10^{20}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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GATE ECE 2010 | Question: 55
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... is $0.5 \times e^{-35}$ $0.5 \times e^{-5}$ $0.5 \times e^{}$ $0.5 \times e^{}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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GATE ECE 2010 | Question: 56
Which of the following options is the closest in meaning to the word below: Circuitous cyclic indirect confusing crooked
Which of the following options is the closest in meaning to the word below:Circuitouscyclicindirectconfusingcrooked
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Verbal Aptitude
gate2010-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2010 | Question: 57
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed : Worker fallow : land unaware : sleeper wit : jester renovated : house
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.Unemployed :...
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46.4k
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Sep 15, 2022
Verbal Aptitude
gate2010-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2010 | Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: If we manage to ___________ our natural resources, we would leave a better planet for our children. uphold restrain cherish conserve
Choose the most appropriate word from the options given below to complete the following sentence:If we manage to ___________ our natural resources, we would leave a bette...
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46.4k
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Sep 15, 2022
Verbal Aptitude
gate2010-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2010 | Question: 59
Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ____________ his lack of seriousness about the subject. masked belied betrayed suppressed
Choose the most appropriate word from the options given below to complete the following sentence:His rather casual remarks on politics ____________ his lack of seriousne...
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46.4k
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Sep 15, 2022
Verbal Aptitude
gate2010-ec
verbal-aptitude
most-appropriate-word
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60
GATE ECE 2010 | Question: 60
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neither hockey nor football is: $2$ $17$ $13$ $3$
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neithe...
admin
46.4k
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Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
venn-diagrams
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GATE ECE 2010 | Question: 61
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments ... of chemical agents in warfare would be undesirable. People in military establishments like to use chemical agents in war.
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to s...
admin
46.4k
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60
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admin
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Sep 15, 2022
Verbal Aptitude
gate2010-ec
verbal-aptitude
verbal-reasoning
passage-reading
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62
GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
admin
46.4k
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admin
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Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
number-system
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63
GATE ECE 2010 | Question: 63
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long will it take to build the wall? $20$ days $18$ days $16$ days $15$ days
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team...
admin
46.4k
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44
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admin
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Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
work-time
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GATE ECE 2010 | Question: 64
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?$50$$51$$52$$54$
admin
46.4k
points
38
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admin
asked
Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
counting
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GATE ECE 2010 | Question: 65
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive siblings (that is born one after another) is less than $3$ years. ... not the oldest and Saira is not the youngest. There are no twins. In what order were they born (oldest first)? HSIG SGHI lGSH IHSG
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive si...
admin
46.4k
points
43
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admin
asked
Sep 15, 2022
Analytical Aptitude
gate2010-ec
analytical-aptitude
logical-reasoning
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