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1921
GATE ECE 2022 | Question: 46
A $p-$type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. Excess minority carrier density is zero at $x = \pm 2l_{n},$ where $l_{n} = 10 ^{-4} \; \text{cm}$ is the diffusion length of ... photo-generated electrons at $x = + 2l_{n}$ is ______________ $\text{mA/cm}^{2}$ (rounded off to two decimal places).
A $p-$type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. Excess minority carrier density is zero at $x = \...
Arjun
6.6k
points
67
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1922
GATE ECE 2022 | Question: 47
A circuit and the characteristics of the diode $\text{(D)}$ in it are shown. The ratio of the minimum to the maximum small signal voltage gain $\frac{\partial V_{\text{out}}}{\partial V_{\text{in}}}$ is ____________ (rounded off to two decimal places).
A circuit and the characteristics of the diode $\text{(D)}$ in it are shown. The ratio of the minimum to the maximum small signal voltage gain $\frac{\partial V_{\text{ou...
Arjun
6.6k
points
86
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1923
GATE ECE 2022 | Question: 48
Consider the circuit shown with an ideal $\text{OPAMP}.$ The output voltage $V_{0}$ is ____________ $V$ (rounded off to two decimal places).
Consider the circuit shown with an ideal $\text{OPAMP}.$ The output voltage $V_{0}$ is ____________ $V$ (rounded off to two decimal places).
Arjun
6.6k
points
59
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1924
GATE ECE 2022 | Question: 49
Consider the circuit shown with an ideal long channel $n \text{MOSFET}$ (enhancement-mode, substrate is connected to the source). The transistor is appropriately biased in the saturation region with $V_{GG}$ and $V_{DD}$ such that it acts as a linear amplifier ... $\dfrac{v_{A}}{v_{B}}$ is _____________ (rounded off to one decimal place).
Consider the circuit shown with an ideal long channel $n \text{MOSFET}$ (enhancement-mode, substrate is connected to the source). The transistor is appropriately biased i...
Arjun
6.6k
points
103
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1925
GATE ECE 2022 | Question: 50
The block diagram of a closed-loop control system is shown in the figure. $R(s), Y(s),$ and $D(s)$ are the Laplace transforms of the time-domain signals $r(t), y(t),$ and $d(t),$ ... $e (\infty),$ due to a unit step disturbance $d(t),$ is __________ (rounded off to two decimal places).
The block diagram of a closed-loop control system is shown in the figure. $R(s), Y(s),$ and $D(s)$ are the Laplace transforms of the time-domain signals $r(t), y(t),$ and...
Arjun
6.6k
points
80
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1926
GATE ECE 2022 | Question: 51
The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities are as marked. The parameter $\alpha$ lies in the interval $[0.25, 1].$ The value of $\alpha$ for which the capacity of this channel is maximized, is ___________ (rounded off to two decimal places).
The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities are as mark...
Arjun
6.6k
points
96
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1927
GATE ECE 2022 | Question: 52
Consider communication over a memoryless binary symmetric channel using a $(7, 4)$ Hamming code. Each transmitted bit is received correctly with probability $(1 - \in),$ and flipped with probability $\in.$ For each codeword transmission, the ... the probability that a transmitted codeword is decoded correctly is ___________(rounded off to two decimal places).
Consider communication over a memoryless binary symmetric channel using a $(7, 4)$ Hamming code. Each transmitted bit is received correctly with probability $(1 – \in),...
Arjun
6.6k
points
66
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1928
GATE ECE 2022 | Question: 53
Consider a channel over which either symbol $x_{A}$ or symbol $x_{B}$ is transmitted. Let the output of the channel $Y$ be the input to a maximum likelihood $\text{(ML)}$ detector at the receiver. The conditional probability density ... the standard unit step function. The probability of symbol error for this system is _____________ (rounded off to two decimal places).
Consider a channel over which either symbol $x_{A}$ or symbol $x_{B}$ is transmitted. Let the output of the channel $Y$ be the input to a maximum likelihood $\text{(ML)}$...
Arjun
6.6k
points
87
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1929
GATE ECE 2022 | Question: 54
Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, $f(x),$ as shown in the figure. Consider a $1$ bit quantizer that maps positive samples to value $\alpha$ and others to ... error, then $(\alpha^{\ast} - \beta^{\ast}) = $____________ (rounded off to two decimal places).
Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, $f(x),$ as shown in the fi...
Arjun
6.6k
points
155
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
0
votes
0
answers
1930
GATE ECE 2022 | Question: 55
In an electrostatic field, the electric displacement density vector, $\overrightarrow{D},$ is given by $\overrightarrow{D} (x, y, z) = (x^{3} \overrightarrow{i} + y^{3} \overrightarrow{j} + xy^{2} \overrightarrow{k}) \; \text{C/m}^{2},$ where ... $R$ is _____________ $\text{C}$ (rounded off to two decimal places).
In an electrostatic field, the electric displacement density vector, $\overrightarrow{D},$ is given by$$\overrightarrow{D} (x, y, z) = (x^{3} \overrightarrow{i} + y^{3} \...
Arjun
6.6k
points
98
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
numerical-answers
+
–
1
votes
1
answer
1931
The value of the integral ∫ ∞ − ∞ 12 cos ( 2 π ) sin ( 4 π t ) 4 π t d t is
akalok808
130
points
195
views
akalok808
asked
Aug 24, 2021
3
votes
1
answer
1932
GATE ECE 2021 | GA Question: 1
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago?$9,92,500$$9,95,006$$10,...
Arjun
6.6k
points
438
views
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gateec-2021
numerical-ability
simple-compound-interest
+
–
1
votes
2
answers
1933
GATE ECE 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$$3$$7$$9$$11$
Arjun
6.6k
points
495
views
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gateec-2021
numerical-ability
algebra
+
–
1
votes
1
answer
1934
GATE ECE 2021 | GA Question: 3
The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is ____________ $4$ $3$ $6$ $7$
The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is ____________$4$$3$$6$$7$
Arjun
6.6k
points
533
views
Arjun
asked
Feb 19, 2021
Spatial Aptitude
gateec-2021
spatial-aptitude
patterns-in-two-dimensions
+
–
2
votes
1
answer
1935
GATE ECE 2021 | GA Question: 4
$\textit{Nostalgia}$ is to $\textit{anticipation}$ as ____________ is to _____________ Which one of the following options maintains a similar logical relation in the above sentence? Present, past Future, past Past, future Future, present
$\textit{Nostalgia}$ is to $\textit{anticipation}$ as ____________ is to _____________Which one of the following options maintains a similar logical relation in the above...
Arjun
6.6k
points
599
views
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gateec-2021
verbal-ability
word-pairs
+
–
1
votes
1
answer
1936
GATE ECE 2021 | GA Question: 5
Consider the following sentences: I woke up from sleep. I woked up from sleep. I was woken up from sleep. I was wokened up from sleep. Which of the above sentences are grammatically $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iv)}$
Consider the following sentences:I woke up from sleep.I woked up from sleep.I was woken up from sleep.I was wokened up from sleep.Which of the above sentences are grammat...
Arjun
6.6k
points
546
views
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gateec-2021
verbal-ability
english-grammar
tense
+
–
1
votes
1
answer
1937
GATE ECE 2021 | GA Question: 6
Given below are two statements and two conclusions. $\text{Statement 1}$: All purple are green. $\text{Statement 2}$: All black are green. $\text{Conclusion I}$: Some black are purple. $\text{Conclusion II}$: No black is purple. Based on the above ... correct Either conclusion $\text{I}$ or $\text{II}$ is correct Both conclusion $\text{I}$ and $\text{II}$ are correct
Given below are two statements and two conclusions.$\text{Statement 1}$: All purple are green.$\text{Statement 2}$: All black are green.$\text{Conclusion I}$: Some black ...
Arjun
6.6k
points
823
views
Arjun
asked
Feb 19, 2021
Analytical Aptitude
gateec-2021
analytical-aptitude
logical-reasoning
statements-follow
+
–
1
votes
1
answer
1938
GATE ECE 2021 | GA Question: 7
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence $\text{(AI)}$ is currently a hot topic. $\text{Al}$ enables computers to learn, given enough training data. For humans, sitting in front of a ... $\text{(ii) and (iv)}$ $\text{(i), (iii) and (iv)}$ $\text{(i) and (iii)}$
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence $\text{(AI)}$ is current...
Arjun
6.6k
points
389
views
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gateec-2021
verbal-ability
verbal-reasoning
passage-reading
+
–
3
votes
1
answer
1939
GATE ECE 2021 | GA Question: 8
Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step. one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$
Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step. one of the cut triangles is revolve...
Arjun
6.6k
points
2.8k
views
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gateec-2021
numerical-ability
mensuration
cones
+
–
1
votes
1
answer
1940
GATE ECE 2021 | GA Question: 9
The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in which one of the students spent a minimum of $10\%$ more than the other student, on a given day, is $4$ $5$ $6$ $7$
The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above.The number of days in the given week in wh...
Arjun
6.6k
points
615
views
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gateec-2021
numerical-ability
data-interpretation
bar-graph
+
–
1
votes
1
answer
1941
GATE ECE 2021 | GA Question: 10
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is $2:3$ $3:4$ $4:5$ $5:6$
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.The ratio of the area of the regular convex hexagon to...
Arjun
6.6k
points
589
views
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gateec-2021
numerical-ability
geometry
triangles
area
+
–
0
votes
1
answer
1942
GATE ECE 2021 | Question: 1
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure. The line integral of $\int _{C} F\left ( r \right ).dr$ is $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure.The line integral of $\int _{C} F\left ( r \right ).dr...
Arjun
6.6k
points
741
views
Arjun
asked
Feb 19, 2021
Vector Analysis
gateec-2021
vector-analysis
vector-in-planes
+
–
1
votes
0
answers
1943
GATE ECE 2021 | Question: 2
Consider the differential equation given below. $\frac{dy}{dx}+\frac{x}{1-x^{2}}y=x\sqrt{y}$ The integrating factor of the differential equation is $\left ( 1-x^{2} \right )^{-3/4}$ $\left ( 1-x^{2} \right )^{-1/4}$ $\left ( 1-x^{2} \right )^{-3/2}$ $\left ( 1-x^{2} \right )^{-1/2}$
Consider the differential equation given below.$$\frac{dy}{dx}+\frac{x}{1-x^{2}}y=x\sqrt{y}$$The integrating factor of the differential equation is$\left ( 1-x^{2} \right...
Arjun
6.6k
points
288
views
Arjun
asked
Feb 19, 2021
Differential Equations
gateec-2021
differential-equations
first-order-differential-equation
+
–
0
votes
0
answers
1944
GATE ECE 2021 | Question: 3
Two continuous random variables $X$ and $Y$ are related as $Y=2X+3$ Let $\sigma ^{2}_{X}$ and $\sigma ^{2}_{Y}$denote the variances of $X$ and $Y$, respectively. The variances are related as $\sigma ^{2}_{Y}=2 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=4 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=5 \sigma ^{2}_{X}$ $\sigma ^{2}_{Y}=25 \sigma ^{2}_{X}$
Two continuous random variables $X$ and $Y$ are related as$$Y=2X+3$$Let $\sigma ^{2}_{X}$ and $\sigma ^{2}_{Y}$denote the variances of $X$ and $Y$, respectively. The vari...
Arjun
6.6k
points
222
views
Arjun
asked
Feb 19, 2021
Probability and Statistics
gateec-2021
probability-and-statistics
random-variable
variance
+
–
0
votes
0
answers
1945
GATE ECE 2021 | Question: 4
Consider a real-valued base-band signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac{t}{2} \right )$ is $\text{15 kHz}$ $\text{30 kHz}$ $\text{60 kHz}$ $\text{20 kHz}$
Consider a real-valued base-band signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac...
Arjun
6.6k
points
183
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1946
GATE ECE 2021 | Question: 5
Consider two $16$-point sequences $x\left [ n \right ]$ and $h\left [ n \right ]$. Let the linear convolution of $x\left [ n \right ]$ and $h\left [ n \right ]$ be denoted by $y\left [ n \right ]$, while $z\left [ n \right ]$ denotes the $16$-point inverse discrete Fourier ... $k=0,1,2,,15$ $k=0$ $k=15$ $\text{k=0 and k=15}$
Consider two $16$-point sequences $x\left [ n \right ]$ and $h\left [ n \right ]$. Let the linear convolution of $x\left [ n \right ]$ and $h\left [ n \right ]$ be denot...
Arjun
6.6k
points
276
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1947
GATE ECE 2021 | Question: 6
A bar of silicon is doped with boron concentration of $10^{16} \text{cm}^{-3}$ and assumed to be fully ionized. It is exposed to light such that electron-hole pairs are generated throughout the volume of the bar at the rate of $10^{20} \text{cm}^{-3} s^{-1}$. If the ... $2 \times 10^{20} \text{cm}^{-6}$ $10^{32} \text{cm}^{-6}$ $2 \times 10^{32} \text{cm}^{-6}$
A bar of silicon is doped with boron concentration of $10^{16} \text{cm}^{-3}$ and assumed to be fully ionized. It is exposed to light such that electro...
Arjun
6.6k
points
337
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1948
GATE ECE 2021 | Question: 7
The energy band diagram of a $\text{p-type}$ semiconductor bar of length $L$ under equilibrium condition (i.e.. the Fermi energy level $E_{F}$ is constant) is shown in the figure. The valance band $E_{V}$ is sloped since doping is non-uniform along the bar. The difference ... bar is $\frac{\Delta }{qL}$ $\frac{2\Delta }{qL}$ $\frac{\Delta }{2qL}$ $\frac{3\Delta }{2qL}$
The energy band diagram of a $\text{p-type}$ semiconductor bar of length $L$ under equilibrium condition (i.e.. the Fermi energy level $E_{F}$ is constant) is shown in th...
Arjun
6.6k
points
226
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1949
GATE ECE 2021 | Question: 8
In the circuit shown in the figure, the transistors $M_{1}$ and $M_{2}$ are operating in saturation. The channel length modulation coefficients of both the transistors are non-zero. The transconductance of the $\text{MOSFETs}$ $M_{1}$ and $M_{2}$ are $g_{m1}$ ... $-g_{m2}\left ( \frac{1}{g_{m1}}\left | \right |r_{01}\left | \right |r_{02} \right )$
In the circuit shown in the figure, the transistors $M_{1}$ and $M_{2}$ are operating in saturation. The channel length modulation coefficients of bo...
Arjun
6.6k
points
197
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1950
GATE ECE 2021 | Question: 9
For the circuit with an ideal $\text{OPAMP}$ shown in the figure. $V_{\text{REF}}$ is fixed. If $V_{\text{OUT}}=1$ volt for $V_{\text{IN}}-0.1$ volt and $V_{\text{OUT}}=6$ volt for $V_{\text{IN}}=1$ volt, where $V_{\text{OUT}}$ is measured across $R_{L}$ connected at the output of this $\text{OPAMP}$, the value of $R_{F}/R_{\text{IN}}$ is $3.285$ $2.860$ $3.825$ $5.555$
For the circuit with an ideal $\text{OPAMP}$ shown in the figure. $V_{\text{REF}}$ is fixed.If $V_{\text{OUT}}=1$ volt for $V_{\text{IN}}-0.1$ volt and $V_{\text{OUT}}=6$...
Arjun
6.6k
points
189
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1951
GATE ECE 2021 | Question: 10
Consider the circuit with an ideal $\text{OPAMP}$ shown in the figure. Assuming $\left | V_{\text{IN}} \right |\ll \left | V_{\text{CC}} \right |$ and $\left | V_{\text{REF}} \right |\ll \left | V_{\text{CC}} \right | $, the condition at which $V_{\text{OUT}}$ equals ... $V_{\text{IN}}\:=\:2\:V_{\text{REF}}$ $V_{\text{IN}}\:=\:2\:+\:V_{\text{REF}}$
Consider the circuit with an ideal $\text{OPAMP}$ shown in the figure.Assuming $\left | V_{\text{IN}} \right |\ll \left | V_{\text{CC}} \right |$ and $\left | V_{\text{RE...
Arjun
6.6k
points
227
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
3
votes
1
answer
1952
GATE ECE 2021 | Question: 11
If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then $x\:=\:7$ and $y\:=\:5$ $x\:=\:8$ and $y\:=\:6$ $x\:=\:6$ and $y\:=\:4$ $x\:=\:9$ and $y\:=\:7$
If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then$x\:=\:7$ and $y\:=\:5$$x\:=\:8$ and $y\:=\:6$...
Arjun
6.6k
points
745
views
Arjun
asked
Feb 19, 2021
Digital Circuits
gateec-2021
digital-circuits
number-system
number-representation
+
–
0
votes
0
answers
1953
GATE ECE 2021 | Question: 12
Addressing of a $32K\:\times\:16$ memory is realized using a single decoder. The minimum number of $\text{AND}$ gates required for the decoder is $2^{8}$ $2^{32}$ $2^{15}$ $2^{19}$
Addressing of a $32K\:\times\:16$ memory is realized using a single decoder. The minimum number of $\text{AND}$ gates required for the decoder is$2^{8}$...
Arjun
6.6k
points
195
views
Arjun
asked
Feb 19, 2021
Digital Circuits
gateec-2021
digital-circuits
combinational-circuits
decoders
+
–
0
votes
0
answers
1954
GATE ECE 2021 | Question: 13
The block diagram of a feedback control system is shown in the figure The transfer function $\dfrac{Y{\left ( s \right )}}{X {\left ( s \right )}}$ of the system is $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H+G_{2}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H}$ $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H+G_{2}H}$
The block diagram of a feedback control system is shown in the figureThe transfer function $\dfrac{Y{\left ( s \right )}}{X {\left ( s \right )}}$ of the system is$\frac{...
Arjun
6.6k
points
280
views
Arjun
asked
Feb 19, 2021
Control Systems
gateec-2021
control-systems
+
–
0
votes
0
answers
1955
GATE ECE 2021 | Question: 14
The complete Nyquist plot of the open-loop transfer function $G(s)H(s)$ of a feedback control system in the figure. If $G(s)H(s)$ has one zero in the right-half of the $s$-plane, the number of poles that the closed-loop system will have in the right-half of the $s$-plane is $0$ $1$ $4$ $3$
The complete Nyquist plot of the open-loop transfer function $G(s)H(s)$ of a feedback control system in the figure.If $G(s)H(s)$ has one zero in the right-half of the $s$...
Arjun
6.6k
points
596
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1956
GATE ECE 2021 | Question: 15
Consider a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x}\:a_{y}$ and $a_{z}$. A plane wave traveling in the region $z\geq 0$ with electric field vector $E=10\cos\left ( 2\times 10^{8}t\:+\:\beta z\right )a_{y}$ is incident normally on the ... $\frac{1}{3}$ $\frac{3}{5}$ $\frac{2}{5}$ $\frac{2}{3}$
Consider a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x}\:a_{y}$ and $a_{z}$. A plane wave traveling in the region $z\geq 0$ with electric field vector...
Arjun
6.6k
points
172
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
+
–
0
votes
0
answers
1957
GATE ECE 2021 | Question: 16
If the vectors $(1.0,\:-1.0,\:2.0)$, $(7.0,\:3.0,\:x)$ and $(2.0,\:3.0,\:1.0)$ in $\mathbb{R}^{3}$ are linearly dependent, the value of $x$ is __________
If the vectors $(1.0,\:-1.0,\:2.0)$, $(7.0,\:3.0,\:x)$ and $(2.0,\:3.0,\:1.0)$ in $\mathbb{R}^{3}$ are linearly dependent, the value of $x$ is __________
Arjun
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Vector Analysis
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1958
GATE ECE 2021 | Question: 17
Consider the vector field $F\:=\:a_{x}\left ( 4y-c_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ in a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x},\:a_{y}$ and $a_{z}$. If the field $F$ is irrotational (conservative), then the constant $c_{1}$ (in integer) is _________________
Consider the vector field $F\:=\:a_{x}\left ( 4y-c_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ in a rectangular coordinate system $(x,y,z)$ with ...
Arjun
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Arjun
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Vector Analysis
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vector-in-planes
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1959
GATE ECE 2021 | Question: 18
Consider the circuit shown in the figure. The current $I$ flowing through the $7\:\Omega$ resistor between $P$ and $Q$ (rounded off to one decimal place) is ________ $A$.
Consider the circuit shown in the figure.The current $I$ flowing through the $7\:\Omega$ resistor between $P$ and $Q$ (rounded off to one decimal place) is ________ $A$.
Arjun
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Others
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1960
GATE ECE 2021 | Question: 19
Consider the circuit shown in the figure. The value of $v_{0}$ (rounded off to one decimal place) is _________ $V$.
Consider the circuit shown in the figure.The value of $v_{0}$ (rounded off to one decimal place) is _________ $V$.
Arjun
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Arjun
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Others
gateec-2021
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