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2481
GATE ECE 2014 Set 4 | Question: 49
Consider a communication scheme where the binary valued signal $X$ satisfies $P\{X=+1\}=0.75$ and $P\{X=-1 \}=0.25$. The received signal $Y=X+Z$, where $Z$ is a Gaussian random variable with zero mean and variance ... $\sigma ^2$
Consider a communication scheme where the binary valued signal $X$ satisfies $P\{X=+1\}=0.75$ and $P\{X=-1 \}=0.25$. The received signal $Y=X+Z$, where $Z$ is a Gaussian ...
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2482
GATE ECE 2014 Set 4 | Question: 50
Consider the $Z$-channel given in the figure. The input is $0$ or $1$ with equal probability. If the output is $0$, the probability that the input is also $0$ equals ___________
Consider the $Z$-channel given in the figure. The input is $0$ or $1$ with equal probability.If the output is $0$, the probability that the input is also $0$ equals _____...
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2485
GATE ECE 2014 Set 4 | Question: 53
The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, respectively. The value of $\psi _B – \psi _A$ in Volts is ____________
The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, re...
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2486
GATE ECE 2014 Set 4 | Question: 54
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \times \overrightarrow{F} \cdot \overrightarrow{ds}$ is __________.
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \ti...
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2487
GATE ECE 2014 Set 4 | Question: 55
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the electrostatic potential is $xy^3 – yz^2$ $2xy^3-xyz^2$ $y^3+xyz^2$ $2xy^3-3xyz^2$
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the ele...
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2489
GATE ECE 2014 Set 3 | GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupeehas ____________.depresseddepreciatedappreciatedstabilized
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2490
GATE ECE 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
'Advice' is ________________.a verba nounan adjectiveboth a verb and a noun
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2492
GATE ECE 2014 Set 3 | GA Question: 5
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
In which of the following options will the expression $P < M$ be definitely true?$M < R P S$$M S < P < F$$Q < M < F = P$$P = A < R < M$
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2493
GATE ECE 2014 Set 3 | GA Question: 6
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$
Find the next term in the sequence:$7G, 11K, 13M$,____$15Q$$17Q$$15P$$17P$
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2495
GATE ECE 2014 Set 3 | GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
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2498
GATE ECE 2014 Set 3 | Question: 1
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
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2499
GATE ECE 2014 Set 3 | Question: 2
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively? $\frac{dy}{dx}+xy= e^{-x}$ $\frac{dy}{dx}+xy= 0$ $\frac{dy}{dx}+xy= e^{-y}$ $\frac{dy}{dx}+ e^{-y}= 0$
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively?$\frac{dy}{dx}+...
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2500
GATE ECE 2014 Set 3 | Question: 3
Match the application to appropriate numerical method. ... $P1-M3,P2-M1,P3-M4,P4-M2$ $P1-M4,P2-M1,P3-M3,P4-M2$ $P1-M2,P2-M1,P3-M3,P4-M4$
Match the application to appropriate numerical method.$\begin{array}{ll} \underline{\text{Application}} & \underline{\text{Numerical} \mid \text{Method}} \\ \text{P1: Nu...
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2501
GATE ECE 2014 Set 3 | Question: 4
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is $0.067$ $0.073$ $0.082$ $0.091$
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is$0.067$$0.073$$0.082$$0.091$
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2504
GATE ECE 2014 Set 3 | Question: 7
In the figure shown, the value of the current $I$ (in Amperes) is __________.
In the figure shown, the value of the current $I$ (in Amperes) is __________.
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2505
GATE ECE 2014 Set 3 | Question: 8
In MOSFET fabrication, the channel length is defined during the process of isolation oxide growth channel stop implantation poly-silicon gate patterning lithography step leading to the contact pads
In MOSFET fabrication, the channel length is defined during the process ofisolation oxide growthchannel stop implantationpoly-silicon gate patterninglithography step lead...
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2507
GATE ECE 2014 Set 3 | Question: 10
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$$/s$ is ...
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2508
GATE ECE 2014 Set 3 | Question: 11
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistancehigh input resistance and low output resistancelow input...
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2509
GATE ECE 2014 Set 3 | Question: 12
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value...
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2510
GATE ECE 2014 Set 3 | Question: 13
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
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2511
GATE ECE 2014 Set 3 | Question: 14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is ________...
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2512
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
The circuit shown in the figure is a Toggle Flip FlopJK Flip FlopSR LatchMaster-Slave D Flip Flop
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2515
GATE ECE 2014 Set 3 | Question: 18
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$the...
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2516
GATE ECE 2014 Set 3 | Question: 19
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) a...
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2517
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is$\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$$G_{1}G_{2}+G_{1}+1$$G_{1...
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