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2201
GATE ECE 2016 Set 1 | Question: 25
The propagation constant of a lossy transmission line is $(2+j5) m^{-1}$ and its characteristic impedance is $(50+j0) \Omega$ at $\omega = 10^6 rad \: s^{-1}$ ... $L = 250 \: \mu H/m, C = 0.2 \: \mu F/m, R=50 \: \Omega /m, \: G=0.04 \: S/m$
The propagation constant of a lossy transmission line is $(2+j5) m^{-1}$ and its characteristic impedance is $(50+j0) \Omega$ at $\omega = 10^6 rad \: s^{-1}$. The values...
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2202
GATE ECE 2016 Set 1 | Question: 26
The integral $\frac{1}{2\pi} \iint_D(x+y+10) \,dx\,dy$, where $D$ denotes the disc: $x^2+y^2\leq 4$,evaluates to _________
The integral $\frac{1}{2\pi} \iint_D(x+y+10) \,dx\,dy$, where $D$ denotes the disc: $x^2+y^2\leq 4$,evaluates to _________
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2204
GATE ECE 2016 Set 1 | Question: 28
In the following integral, the contour $C$ encloses the points $2 \pi j$ and $- 2\pi j$ $-\frac{1}{2\pi}\oint_C\frac{\sin z}{(z-2\pi j)^3} \,dz$ The value of the integral is _________
In the following integral, the contour $C$ encloses the points $2 \pi j$ and $- 2\pi j$ $$-\frac{1}{2\pi}\oint_C\frac{\sin z}{(z-2\pi j)^3} \,dz$$The value of the integra...
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2205
GATE ECE 2016 Set 1 | Question: 29
The region specified by $\{ (\rho,\varphi,z):3 \leq\rho\leq 5,\frac{\pi}{8}\leq\varphi\leq\frac{\pi}{4}, \: 3\leq z\leq4.5\}$ in cylindrical coordinates has volume of _________
The region specified by $\{ (\rho,\varphi,z):3 \leq\rho\leq 5,\frac{\pi}{8}\leq\varphi\leq\frac{\pi}{4}, \: 3\leq z\leq4.5\}$ in cylindrical coordinates has volume of ___...
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2206
GATE ECE 2016 Set 1 | Question: 30
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is $F(S) = \frac{1}{1+e^{-sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{-sT/2})} \\$ $F(S) = \frac{1}{s(1-e^{-sT})} \\$ $F(S) = \frac{1}{1-e^{-sT}}$
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is$F(S) = \frac{1}{1+e^{-sT/2}} \\$$F(S) =\frac{1}{s(1+e^{-sT/2})} \\$$F(...
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2209
GATE ECE 2016 Set 1 | Question: 33
An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode is ideal. RMS current $I_{rms}$(in mA) through the diode is _______
An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode...
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2210
GATE ECE 2016 Set 1 | Question: 34
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______
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2214
GATE ECE 2016 Set 1 | Question: 38
The figure below shows the doping distribution in a $p$-type semiconductor in log scale. The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non uniform doping is _________
The figure below shows the doping distribution in a $p$-type semiconductor in log scale.The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non u...
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2218
GATE ECE 2016 Set 1 | Question: 42
Identify the circuit below. Binary to Gray code converter Binary to XS3 converter Gray to Binary converter XS3 to Binary converter
Identify the circuit below.Binary to Gray code converterBinary to XS3 converterGray to Binary converterXS3 to Binary converter
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2219
GATE ECE 2016 Set 1 | Question: 43
The functionality implemented by the circuit below is $2$-to-$1$ multiplexer $4$-to-$1$ multiplexer $7$-to-$1$ multiplexer $6$-to-$1$ multiplexer
The functionality implemented by the circuit below is$2$-to-$1$ multiplexer $4$-to-$1$ multiplexer$7$-to-$1$ multiplexer$6$-to-$1$ multiplexer
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2221
GATE ECE 2016 Set 1 | Question: 45
The open-loop transfer function of a unity-feedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s root-locus plot is _________
The open-loop transfer function of a unity-feedback control system is $$G(s)= \frac{K}{s^2+5s+5}$$. The value of $K$ at the breakaway point of the feedback contol system�...
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2222
GATE ECE 2016 Set 1 | Question: 46
The open-loop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closed-loop system to a unit step input to be $10 \%$, the value of $K$ is _________
The open-loop transfer function of a unity feedback control system is given by $$G(s)= \frac{K}{s(s+2)}$$. For the peak overshoot of the closed-loop system to a unit step...
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2223
GATE ECE 2016 Set 1 | Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
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2233
GATE ECE 2015 Set 3 | GA Question: 2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous
Choose the most suitable one word substitute for the following expression:Connotation of a road or wayPertinaciousViaticumClandestine Ravenous
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2234
GATE ECE 2015 Set 3 | GA Question: 3
Choose the correct verb to fill in the blank below: Let us __________ introvert alternate atheist altruist
Choose the correct verb to fill in the blank below:Let us __________introvertalternateatheistaltruist
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2235
GATE ECE 2015 Set 3 | GA Question: 4
Find the missing sequence in the letter series below: $A, CD, GHI,?, UVWXY$ $LMN$ $MNO$ $MNOP$ $NOPQ$
Find the missing sequence in the letter series below:$A, CD, GHI,?, UVWXY$$LMN$$MNO$$MNOP$$NOPQ$
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2236
GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$
If $x>y>1,$ which of the following must be true?$\text{ln } x \text{ln }y$$e^{x}>e^{y}$$y^{x}>x^{y}$$\cos x \cos y$ $(i)$ and $(ii)$$(i)$ and $(iii)$ $(iii)$ and $(iv)$$...
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2239
GATE ECE 2015 Set 3 | GA Question: 8
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radiu...
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2240
GATE ECE 2015 Set 3 | GA Question: 9
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is $1$ $\frac{1}{\sqrt{2}}$ $0$ $-1$
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is$1$$\frac{1}{\sqrt{2}}$$0$$-1$
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