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2523
GATE ECE 2015 Set 1 | Question: 39
For the NMOSFET in the circuit shown, the threshold voltage is $V_{th}$, where $V_{th}>0$. The source voltage $V_{SS}$ is varied from $0$ to $V_{DD}$. Neglecting the channel length modulation, the drain current $I_D$ as a function of $V_{SS}$ is represented by
For the NMOSFET in the circuit shown, the threshold voltage is $V_{th}$, where $V_{th}>0$. The source voltage $V_{SS}$ is varied from $0$ to $V_{DD}$. Neglecting the chan...
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2524
GATE ECE 2015 Set 1 | Question: 40
In the circuit shown, assume that the opamp is ideal. The bridge output voltage $V_0$ (in mV) for $\delta=0.05$ is __________
In the circuit shown, assume that the opamp is ideal. The bridge output voltage $V_0$ (in mV) for $\delta=0.05$ is __________
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2526
GATE ECE 2015 Set 1 | Question: 42
In the circuit shown, $I_1=80$ mA and $I_2=4$ mA. Transistors $T_1$ and $T_2$ are identical. Assume that the thermal voltage $V_T$ is $26$ mV at $27^{\circ}C$. At $50^{\circ}C$, the value of the voltage $V_{12}=V_1 - V_2$ (in mV) is _______.
In the circuit shown, $I_1=80$ mA and $I_2=4$ mA. Transistors $T_1$ and $T_2$ are identical. Assume that the thermal voltage $V_T$ is $26$ mV at $27^{\circ}C$. At $50^{\c...
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2527
GATE ECE 2015 Set 1 | Question: 43
Two sequences $\begin{bmatrix}a, & b, & c \end{bmatrix}$ and $\begin{bmatrix}A, & B, & C \end{bmatrix}$ ... $\begin{bmatrix}p, & q, & r \end{bmatrix} = \begin{bmatrix} c, & b, & a \end{bmatrix}$
Two sequences $\begin{bmatrix}a, & b, & c \end{bmatrix}$ and $\begin{bmatrix}A, & B, & C \end{bmatrix}$ are related as,$$\begin{bmatrix}A \\ B \\ C \end{bmatrix} = \be...
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2528
GATE ECE 2015 Set 1 | Question: 44
For the discrete-time system shown in the figure, the poles of the system transfer function are located at $2,3 \\$ $\frac{1}{2},3 \\$ $\frac{1}{2}, \frac{1}{3} \\$ $2, \frac{1}{3}$
For the discrete-time system shown in the figure, the poles of the system transfer function are located at$2,3 \\$$\frac{1}{2},3 \\$$\frac{1}{2}, \frac{1}{3} \\$$2, \frac...
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2530
GATE ECE 2015 Set 1 | Question: 46
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1+j2$ lies on the root locus is _________.
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1...
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2531
GATE ECE 2015 Set 1 | Question: 47
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}$, the value of $RC$ is ___________.
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}...
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2540
GATE ECE 2014 Set 4 | GA Question: 1
Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government. dissent descent decent decadent
Which of the following options is the closest in meaning to the word underlined in the sentence below?In a democracy, everybody has the freedom to disagree with the gover...
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2541
GATE ECE 2014 Set 4 | GA Question: 2
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________.retractget back to himmove in reverseretreat
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2542
GATE ECE 2014 Set 4 | GA Question: 3
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’? punished substantiated appreciated chastened
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’?punishedsubstantiatedappreci...
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2543
GATE ECE 2014 Set 4 | GA Question: 4
Let $f(x,y)=x^n y^m=P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n-m)P$ $2(m-n)P$
Let $f(x,y)=x^n y^m=P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is$2^{n-m}P$$2^{m-n}P$$2(n-m)P$$2(m-n)P$
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2544
GATE ECE 2014 Set 4 | GA Question: 5
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
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2545
GATE ECE 2014 Set 4 | GA Question: 6
Find the next term in the sequence: $13M, 17Q, 19S$, ___ $21W$ $21V$ $23W$ $23V$
Find the next term in the sequence: $13M, 17Q, 19S$, ___$21W$$21V$$23W$$23V$
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2546
GATE ECE 2014 Set 4 | GA Question: 7
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for ‘good wishes’, which of the following indicates ‘ace the exam’? $\text{MCHTX}$ $\text{MXHTC}$ $\text{XMHCT}$ $\text{XMHTC}$
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for ‘good wishes’, which of the following indicates ‘ace the exam’?$\text...
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2547
GATE ECE 2014 Set 4 | GA Question: 8
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years.$5.6$$7....
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2549
GATE ECE 2014 Set 4 | GA Question: 10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$$6666600$...
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2550
GATE ECE 2014 Set 4 | Question: 1
The series $\Sigma_{n=0}^{\infty} \frac{1}{n!}$ converges to $2 \text{ ln } 2$ $\sqrt{2}$ $2$ $e$
The series $\Sigma_{n=0}^{\infty} \frac{1}{n!}$ converges to$2 \text{ ln } 2$$\sqrt{2}$$2$$e$
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2551
GATE ECE 2014 Set 4 | Question: 2
The magnitude of the gradient for the function $f(x,y,z) = x^2 +3y^2 +z^3$ at the point $(1,1,1)$ is ___________.
The magnitude of the gradient for the function $f(x,y,z) = x^2 +3y^2 +z^3$ at the point $(1,1,1)$ is ___________.
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2552
GATE ECE 2014 Set 4 | Question: 3
Let $X$ be a zero mean unit variance Gaussian random variable. $E[ \mid X \mid ]$ is equal to __________
Let $X$ be a zero mean unit variance Gaussian random variable. $E[ \mid X \mid ]$ is equal to __________
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2553
GATE ECE 2014 Set 4 | Question: 4
If $a$ and $b$ are constants, the most general solution of the differential equation $\frac{d^2x}{dt^2}+2 \frac{dx}{dt}+x=0$ is $ae^{-t}$ $ae^{-t} + bte^{-t}$ $ae^t+bte^{-t}$ $ae^{-2t}$
If $a$ and $b$ are constants, the most general solution of the differential equation $$\frac{d^2x}{dt^2}+2 \frac{dx}{dt}+x=0$$ is$ae^{-t}$$ae^{-t} + bte^{-t}$$ae^t+bte^{-...
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2554
GATE ECE 2014 Set 4 | Question: 5
The directional derivative of $f(x,y)= \frac{xy}{\sqrt{2}} (x+y)$ at $(1,1)$ in the direction of the unit vector at an angle of $\frac{\pi}{4}$ with $y$-axis, is given by _________.
The directional derivative of $f(x,y)= \frac{xy}{\sqrt{2}} (x+y)$ at $(1,1)$ in the direction of the unit vector at an angle of $\frac{\pi}{4}$ with $y$-axis, is given by...
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2555
GATE ECE 2014 Set 4 | Question: 6
The circuit shown in the figure represents a voltage controlled voltage source voltage controlled current source current controlled current source current controlled voltage source
The circuit shown in the figure represents avoltage controlled voltage sourcevoltage controlled current sourcecurrent controlled current sourcecurrent controlled voltage ...
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2556
GATE ECE 2014 Set 4 | Question: 7
The magnitude of current (in mA) through the resistor $R_2$ in the figure shown is __________
The magnitude of current (in mA) through the resistor $R_2$ in the figure shown is __________
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2559
GATE ECE 2014 Set 4 | Question: 10
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
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