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2521
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
to-be-tagged
+
–
0
votes
0
answers
2522
GATE ECE 2014 Set 4 | Question: 22
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be Poisson Gaussian Exponential Gamma
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distri...
Milicevic3306
16.0k
points
184
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gauss's-theorem
+
–
0
votes
0
answers
2523
GATE ECE 2014 Set 4 | Question: 23
In a double side-band (DSB) full carrier AM transmission system, if the modulation index is doubled, then the ratio of total sideband power to the carrier power increases by a factor of __________.
In a double side-band (DSB) full carrier AM transmission system, if the modulation index is doubled, then the ratio of total sideband power to the carrier power increases...
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-4
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
2524
GATE ECE 2014 Set 4 | Question: 24
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \pi \: \Omega$, the magnitude of average power density due to this antenna at a distance of $2$ km from the antenna (in $nW/m^2$) is _________.
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2525
GATE ECE 2014 Set 4 | Question: 25
Match column A with column B. ... $ 1 \rightarrow R; \: 2 \rightarrow Q; \: 3 \rightarrow P;$
Match column A with column B.$\begin{array}{ll} \textbf{Column A} & \textbf{Column B} \\ \text{1. Point electromagnetic source} & \text{P. Highly directional} \\ \text{2....
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
+
–
0
votes
0
answers
2526
GATE ECE 2014 Set 4 | Question: 26
With initial values $y(0) =y’(0)=1$, the solution of the differential equation $\frac{d^2y}{dx^2}+4 \frac{dy}{dx}+4y=0$ at $x=1$ is ________
With initial values $y(0) =y’(0)=1$, the solution of the differential equation $$\frac{d^2y}{dx^2}+4 \frac{dy}{dx}+4y=0$$ at $x=1$ is ________
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 26, 2018
Differential Equations
gate2014-ec-4
numerical-answers
differential-equations
+
–
0
votes
0
answers
2527
GATE ECE 2014 Set 4 | Question: 27
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post office is _________
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independent...
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
2528
GATE ECE 2014 Set 4 | Question: 28
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$? $\frac{-s}{(s^2+s+1)^2}$ $\frac{-(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$?$\frac{-s}{(s^2...
Milicevic3306
16.0k
points
165
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
2529
GATE ECE 2014 Set 4 | Question: 29
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the angle between the hypotenuse and the side is $12^{\circ}$ $36^{\circ}$ $60^{\circ}$ $45^{\circ}$
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the ang...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-4
calculus
maxima-minima
+
–
0
votes
0
answers
2530
GATE ECE 2014 Set 4 | Question: 30
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, then the frequency $\omega$ is $\frac{1}{\sqrt{3} \: R \: C}$ $\frac{2}{\sqrt{3} \: R \: C}$ $\frac{1}{R \: C}$ $\frac{2}{R \: C}$
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, ...
Milicevic3306
16.0k
points
80
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
steady-state
+
–
0
votes
0
answers
2531
GATE ECE 2014 Set 4 | Question: 31
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2532
GATE ECE 2014 Set 4 | Question: 32
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$. The value of $R_e/R$ is __________
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$.The value of $R_e/R$ is __________
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
ladder-network
+
–
0
votes
0
answers
2533
GATE ECE 2014 Set 4 | Question: 33
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is $\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$ $\begin{bmatrix} 9 & 8 \\ 8 & 24 \end{bmatrix}$ $\begin{bmatrix} 9 & 6 \\ 6 & 24 \end{bmatrix}$ $\begin{bmatrix} 42 & 6 \\ 6 & 60 \end{bmatrix}$
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is$\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$$\begin{bmatrix} 9 & 8 \\ 8 & 24 \e...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
impedance
+
–
0
votes
0
answers
2534
GATE ECE 2014 Set 4 | Question: 34
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the sample is additionally doped with $N_A = 1 \times 10^{18}/cm^3$ acceptor atoms, the approximate number of electrons$/cm^3$ in the sample, at $T=300 \:K$, will be ________.
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the s...
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-4
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2535
GATE ECE 2014 Set 4 | Question: 35
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device parameters are identical, $kT/q=26 \: mV$, the intrinsic carrier concentration ... $V_{BE1}-V_{BE2})$ is ________.
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device p...
Milicevic3306
16.0k
points
138
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
analog-circuits
bipolar-junction-transistor
+
–
0
votes
0
answers
2536
GATE ECE 2014 Set 4 | Question: 36
An N-type semiconductor having uniform doping is biased as shown in the figure. If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy level of the valance band and $E_F$ is the Fermi level, which one of the following represents the energy band diagram for the biased N-type semiconductor?
An N-type semiconductor having uniform doping is biased as shown in the figure.If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy lev...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
semiconductor
+
–
0
votes
0
answers
2537
GATE ECE 2014 Set 4 | Question: 37
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity). Let $I_C$ be the collector current, $V_{BE}$ be the base-emitter voltage and $V_T$ be the ... of values of $R_E$? $g_mR_E <<1$ $I_CR_E>>V_T$ $g_mr_o>>1$ $V_{BE}>>V_T$
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity)....
Milicevic3306
16.0k
points
175
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
analog-circuits
amplifier
+
–
0
votes
0
answers
2538
GATE ECE 2014 Set 4 | Question: 38
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA) required to match the input impedance of the amplifier to the impedance of the antenna is __________.
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA...
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
0
votes
0
answers
2539
GATE ECE 2014 Set 4 | Question: 39
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak output voltage $v_o$ (in Volts) is __________
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak ou...
Milicevic3306
16.0k
points
170
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
1
votes
1
answer
2540
GATE ECE 2014 Set 4 | Question: 40
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by $Y = A \: \overline{B} \:C+A \: \overline{C} \:D$ $Y = \overline{A} \: B \:C +A \: \overline{B} \: D$ $Y = A \: B \: \overline{C} + \overline{A} \: C \:D$ $Y= \overline{A} \: \overline{B} \: D + A \: \overline{B} \: C$
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by$Y = A \: \overline{B} \:C+A \: \overline{C} \:D...
Milicevic3306
16.0k
points
450
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
0
answers
2541
GATE ECE 2014 Set 4 | Question: 41
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-propagation delay of each FA is $15$ ns. The worst case delay (in ns) of this $16$-bit adder will be _______
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
propagation-delay
+
–
0
votes
0
answers
2542
GATE ECE 2014 Set 4 | Question: 42
An $8085$ microprocessor executes $ STA 1234H $ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$ ... $1FH, FEH, 1FH, FFH, 12H$ $1FH, 1FH, 12H, 12H$ $1FH, 1FH, 12H, 20H, 12H$
An $8085$ microprocessor executes $“STA 1234H”$ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$- bit address location)....
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
microprocessor-8085
+
–
0
votes
0
answers
2543
GATE ECE 2014 Set 4 | Question: 43
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system having a transfer function $H_1(s)$. A correct choice for $H_1(s)$ among the following options is $s+3$ $s-2$ $s-6$ $s+1$
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system ...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2544
GATE ECE 2014 Set 4 | Question: 44
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differ...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2545
GATE ECE 2014 Set 4 | Question: 45
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k \leq N-1.$ Denote this relation as $X=DFT(x)$. For ... $x = \begin{bmatrix} 1 & 3 & 2 & 2 \end{bmatrix}$ $x = \begin{bmatrix} 1 & 2 & 2 & 3 \end{bmatrix}$
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $$X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
discrete-fourier-transform
+
–
0
votes
0
answers
2546
GATE ECE 2014 Set 4 | Question: 46
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ is $\begin{bmatrix} t & 1 \\ 1 & 0 \end{bmatrix} \\$ ... $\begin{bmatrix} 0 & 1 \\ 1 & t \end{bmatrix} \\$ $\begin{bmatrix} 1 & t \\ 0 & 1 \end{bmatrix}$
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \...
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-4
linear-algebra
matrices
+
–
0
votes
0
answers
2547
GATE ECE 2014 Set 4 | Question: 47
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable is ___________.
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2548
GATE ECE 2014 Set 4 | Question: 48
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root locus of the system for varying $K$ is shown in the figure. The constant damping ... point A. The distance from the origin to point A is given as $0.5$. The value of $K$ at point A is ________.
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root...
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2549
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 ...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gauss's-theorem
+
–
0
votes
0
answers
2550
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 _____...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
2551
GATE ECE 2014 Set 4 | Question: 51
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the system characteristic is a raised-cosine spectrum with $100 \%$ excess bandwidth. The minimum value of M is __________
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the syste...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-4
numerical-answers
communications
phase-shift-keying
+
–
0
votes
0
answers
2552
GATE ECE 2014 Set 4 | Question: 52
Consider a discrete-time channel $Y=X +Z$, where the additive noise $Z$ is signal-dependent. In particular, given the transmitted symbol $ X \in \{-a , +a\}$ at any instant, the noise sample $Z$ is chosen independently from a Gaussian distribution with mean $\beta X$ and unit ... $\beta = -0.3$, the BER is closest to $10^{-7}$ $10^{-6}$ $10^{-4}$ $10^{-2}$
Consider a discrete-time channel $Y=X +Z$, where the additive noise $Z$ is signal-dependent. In particular, given the transmitted symbol $ X \in \{-a , +a\}$ at any insta...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gausss-theorem
+
–
0
votes
0
answers
2553
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...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electrostatics
electromagnetics
+
–
0
votes
0
answers
2554
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...
Milicevic3306
16.0k
points
226
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2555
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...
Milicevic3306
16.0k
points
172
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electrostatics
electromagnetics
+
–
0
votes
0
answers
2556
GATE ECE 2014 Set 3 | GA Question: 1
India is a country of rich heritage and cultural diversity. Which one of the following facts best supports the claim made in the above sentence? India is a union of $28$ states and $7$ union territories. India has a population of ... India is home to $22$ official languages and thousands of dialects. The Indian cricket team draws players from over ten states.
“India is a country of rich heritage and cultural diversity.”Which one of the following facts best supports the claim made in the above sentence?India is a union of $...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
verbal-reasoning
+
–
0
votes
0
answers
2557
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
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2558
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
Milicevic3306
16.0k
points
72
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
english-grammar
+
–
0
votes
0
answers
2559
GATE ECE 2014 Set 3 | GA Question: 4
The next term in the series $81, 54, 36, 24, \dots$ is ________
The next term in the series $81, 54, 36, 24, \dots$ is ________
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2014-ec-3
analytical-aptitude
logical-reasoning
sequence-series
numerical-answers
+
–
0
votes
0
answers
2560
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$
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2014-ec-3
analytical-aptitude
logical-reasoning
inequality
+
–
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