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201
GATE IN 2021 | Question: 32
A $10$ $^1/_2$ digit Counter-timer is set in the 'frequency mode' of operation (with $T_{s}=1 s$). For a specific input, the reading obtained is $1000$. Without disconnecting this input, the Counter-timer is changed to operate in the 'Period mode' and the range selected is microseconds ($\mu s$, with $f_{s} = 1\text{ MHz}$). The counter will then display $0$ $10$ $100$ $1000$
A $10$ $^1/_2$ digit Counter-timer is set in the 'frequency mode' of operation (with $T_{s}=1 s$). For a specific input, the reading obtained is $1000$. Without disconnec...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Digital Electronics
gatein-2021
digital-electronics
sequential-circuit
counters
+
–
0
votes
0
answers
202
GATE IN 2021 | Question: 45
A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $G\left ( s \right )=\dfrac{1}{s+1}$. The amplitude of the steady state output is __________.
A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
203
GATE IN 2021 | GA Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
venn-diagrams
+
–
0
votes
0
answers
204
GATE IN 2021 | GA Question: 6
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$ Among the options below, the logical $\text{NEGATION}$ of the above statement is : $\text{P}$ does not marry $\text{Q}$ and $\text{X}$ marries $\text{Y}$ Neither $\text{P}$ marries $\text{Q}$ nor $\text{X}$ marries $\text{Y}$ $\text{X}$ does not marry $\text{Y}$ and $\text{P}$ marries $\text{Q}$ $\text{P}$ marries $\text{Q}$ and $\text{X}$ marries $\text{Y}$
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$Among the options below, the logical $\text{NEGATION}$ of the above statement is ...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Analytical Aptitude
gatein-2021
analytical-aptitude
logical-reasoning
family-relationships
+
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0
votes
0
answers
205
GATE IN 2021 | Question: 6
Let $u\left ( t \right )$ denote the unit step function. The bilateral Laplace transform of the function $f\left ( t \right )=e^{t}u\left ( -t \right )$ is ________________. $\frac{1}{s-1}$ with real part of $s< 1$ $\frac{1}{s-1}$ with real part of $s> 1$ $\frac{-1}{s-1}$ with real part of $s< 1$ $\frac{-1}{s-1}$ with real part of $s> 1$
Let $u\left ( t \right )$ denote the unit step function. The bilateral Laplace transform of the function $f\left ( t \right )=e^{t}u\left ( -t \right )$ is ______________...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Differential equations
gatein-2021
differential-equations
laplace-transform
+
–
0
votes
0
answers
206
GATE IN 2021 | Question: 19
Given: Density of mercury is $\text{13,600 kg/}$ $m^{3}$ and acceleration due to gravity is $\text{9.81 m/s}^{2}$. Atmospheric pressure is $\text{101 kPa}$. In a mercury $\text{U}$-tube manometer, the difference between the heights of the liquid in the $\text{U}$-tube is $\text{1 cm}$. The differential pressure being measured in pascal is ___________ (rounded off to the nearest integer).
Given: Density of mercury is $\text{13,600 kg/}$ $m^{3}$ and acceleration due to gravity is $\text{9.81 m/s}^{2}$. Atmospheric pressure is $\text{101 kPa}$. In a mercury ...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
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0
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0
answers
207
GATE IN 2021 | GA Question: 4
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}{q}$; If $x\bigoplus y=2\bigodot 2$, then $x=$ $\frac{y}{2}$ $y$ $\frac{3y}{2}$ $2y$
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
algebra
+
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0
votes
0
answers
208
GATE IN 2021 | Question: 15
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is ______________.
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is __________...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
209
GATE IN 2021 | Question: 4
The input-output relationship of an $\text{LTI}$ system is given below. For an input $x\left [ n \right ]$ shown below the peak value of the output when $x\left [ n \right ]$ passes through $\text{h}$ is _____________. $2$ $4$ $5$ $6$
The input-output relationship of an $\text{LTI}$ system is given below.For an input $x\left [ n \right ]$ shown belowthe peak value of the output when $x\left [ n \right ...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
+
–
0
votes
0
answers
210
GATE IN 2021 | Question: 30
The output $V_{o}$ of the ideal $\text{OpAmP}$ used in the circuit shown below is $\text{5 V}$. Then the value of resistor $R_{L}$ in kilo ohm $(k \Omega)$ is $2.5$ $5$ $25$ $50$
The output $V_{o}$ of the ideal $\text{OpAmP}$ used in the circuit shown below is $\text{5 V}$. Then the value of resistor $R_{L}$ in kilo ohm $(k \Omega)$ is$2.5$$5$$25$...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
+
–
0
votes
0
answers
211
GATE IN 2021 | Question: 11
A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied to the $8$-data lines of a $16$ Kbyte memory that can store one byte in each of its $\text{16K}$ address locations.The memory chip ... only $A_{19}$ to $A_{14}$ for generating chip select The above chip cannot be interfaced as the width of the data bus of the processor and the memory chip differs
A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Digital Electronics
gatein-2021
multiple-selects
digital-electronics
microprocessor-8085
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–
0
votes
0
answers
212
GATE IN 2021 | Question: 22
When the movable arm of a Michelson interferometer in vacuum $(n=1)$ is moved by $325\: \mu m$ , the number of fringe crossings is $1000$. The wavelength of the laser used in nanometers is ___________________.
When the movable arm of a Michelson interferometer in vacuum $(n=1)$ is moved by $325\: \mu m$ , the number of fringe crossings is $1000$. The wavelength of the laser use...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
213
GATE IN 2021 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ The value of the expression $\dfrac{\lambda \left ( -\left (- 3+2 \right ),\left ( -2+3 \right ) \right )}{\left ( -\left ( -2+1 \right ) \right )}$ is: $-1$ $0$ $\frac{16}{3}$ $16$
A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
functions
+
–
0
votes
0
answers
214
GATE IN 2021 | GA Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above. The value of $\theta$, in degrees, is _______________ $36$ $45$ $72$ $108$
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
geometry
+
–
0
votes
0
answers
215
GATE IN 2021 | Question: 25
The determinant of the matrix $\text{M}$ shown below is _______________. $M=\begin{bmatrix} 1 & 2 & 0 & 0\\ 3 & 4 & 0 & 0\\ 0 & 0 & 4 & 3\\ 0 & 0 & 2 & 1 \end{bmatrix}$
The determinant of the matrix $\text{M}$ shown below is _______________. $$M=\begin{bmatrix} 1 & 2 & 0 & 0\\ 3 & 4 & 0 & 0\\ 0 & 0 & 4 & 3\\ 0 & 0 & 2 & 1 \end{bmatrix}$$...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Linear Algebra
gatein-2021
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
216
GATE IN 2021 | Question: 14
The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$ is at its positive peak, the output $(v_{OA})$ of the $\text{OpAmp}$ in volts is ___________.
The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
217
GATE IN 2021 | Question: 23
Consider the function $f\left ( x \right )=-x^{2}+10x+100$. The minimum value of the function in interval $[5,10]$ is ___________.
Consider the function $f\left ( x \right )=-x^{2}+10x+100$. The minimum value of the function in interval $[5,10]$ is ___________.
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Calculus
gatein-2021
numerical-answers
calculus
maxima-minima
+
–
0
votes
0
answers
218
GATE IN 2021 | GA Question: 1
Getting to the top is ______________ than staying on top. more easy much easy easiest easier
Getting to the top is ______________ than staying on top.more easymuch easyeasiesteasier
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gatein-2021
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
219
GATE IN 2021 | Question: 24
Let $f\left ( z \right )=\dfrac{1}{z^{2}+6z+9}$ defined in the complex plane. The integral $\oint _{c}\:f\left ( z \right )dz$ over the contour of a circle $\text{c}$ with center at the origin and unit radius is _______________.
Let $f\left ( z \right )=\dfrac{1}{z^{2}+6z+9}$ defined in the complex plane. The integral $\oint _{c}\:f\left ( z \right )dz$ over the contour of a circle $\text{c}$ wit...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Analysis of complex variables
gatein-2021
numerical-answers
analysis-of-complex-variables
cauchys-integral-theorem
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–
0
votes
0
answers
220
GATE IN 2021 | Question: 52
In the bridge circuit shown, the voltmeter $\text{V}$ showed zero when the value of the resistors are: $R_{1}=100\:\Omega$, $R_{2}=110\:\Omega$, and $R_{3}=90\:\Omega$. If $\left ( R_{1}/R_{2} \right )=\left ( R_{A}/R_{B} \right )$, the value of $R_{4}$ is ohm is ________.
In the bridge circuit shown, the voltmeter $\text{V}$ showed zero when the value of the resistors are: $R_{1}=100\:\Omega$, $R_{2}=110\:\Omega$, and $R_{3}=90\:\Omega$. I...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
221
GATE IN 2021 | Question: 39
The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of $\text{1 kg}$ has a depth of $\text{0.5 m}$ along the $\text{y}$ direction. The coefficient of friction between the bar and the surface is $0.1$. Assume the acceleration due to gravity to be ... onto the bar and is maintained. When the bar has moved by $\text{1 m}$, its speed in metre per second is ___________ (rounded off to one decimal place).
The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of $\text{1 kg}$ has a depth of $\text{0.5 m}$ a...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
222
GATE IN 2021 | GA Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ cannot sit adjacent to each other. $\text{S}$ should be seated to the right of $\text{Q}$. The number of distinct seating arrangements possible is: $2$ $4$ $6$ $8$
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ ca...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
permutation-and-combination
seating-arrangements
+
–
0
votes
0
answers
223
GATE IN 2021 | Question: 9
The step response of a circuit is seen to have an oscillatory behavior at the output with oscillations dying down after some time. The correct inference$\text{(s)}$ regarding the transfer function from input to output is/are that it is of at least second order that it has at least one pole-pair that is underdamped that it does not have a real pole that it is a first order system
The step response of a circuit is seen to have an oscillatory behavior at the output with oscillations dying down after some time. The correct inference$\text{(s)}$ regar...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
multiple-selects
+
–
0
votes
0
answers
224
GATE IN 2021 | Question: 13
Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right )=\dfrac{3}{s-1}$ is _______________.
Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
225
GATE IN 2021 | Question: 17
A $10$-bits $\text{ADC}$ has a full-scale of $\text{10.230 V}$, when the digital output is $(11\:1111\:1111)_{2}$. The quantization error of the $\text{ADC}$ in millivolt is __________________.
A $10$-bits $\text{ADC}$ has a full-scale of $\text{10.230 V}$, when the digital output is $(11\:1111\:1111)_{2}$. The quantization error of the $\text{ADC}$ in millivolt...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
226
GATE IN 2021 | Question: 31
Boolean function $\text{F}$ of three variable $\text{X, Y,}$ and $\text{Z}$ ... $F\left ( X, Y, Z \right )={X}' {Z}' + Y {Z}'$ $F\left ( X, Y, Z \right )={X}' {Y}' Z + XYZ$
Boolean function $\text{F}$ of three variable $\text{X, Y,}$ and $\text{Z}$ is given as$F\left ( X, Y, Z \right )=\left ( {X}' + Y + Z \right )\cdot \left ( X + {Y}' + {Z...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Digital Electronics
gatein-2021
digital-electronics
boolean-algebra
boolean-functions
products-of-sum-form
+
–
0
votes
0
answers
227
GATE IN 2021 | Question: 5
In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \pm 1\%$ and $W_{ac}=50 \: W \pm 2\%$(errors are with respect to readings). The percentage error in calculating the power factor using these readings is $1\%$ $2\%$ $3\%$ $4\%$
In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \p...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
+
–
0
votes
0
answers
228
GATE IN 2021 | Question: 10
For a $4$-bit Flash type Analog to Digital Convertor $\text{(ADC)}$ with full scale input voltage range $\text{"V"}$ which of the following statement$\text{(s)}$ is/are true? The $\text{ADC}$ requires $15$ comparators The $\text{ADC}$ requires one $4$ to $2$ priority encoder and $4$ comparators A change in the ... $\text{MSB}$ of the output A change in the input voltage by $\frac{V}{16}$ will always flip the $\text{LSB}$ of the output
For a $4$-bit Flash type Analog to Digital Convertor $\text{(ADC)}$ with full scale input voltage range $\text{"V"}$ which of the following statement$\text{(s)}$ is/are t...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
multiple-selects
+
–
0
votes
0
answers
229
GATE IN 2021 | Question: 20
A piezoresistive pressure sensor has a sensitivity of $\text{1 (mV/V) /kPa}$. The sensor is excited with a $\text{dc}$ supply of $\text{10 V}$ and the output is read using a $3$ $^1/_2$ digit $\text{200 mV}$ full-scale digital ultimeter. The resolution of the measurement set-up, in pascal is ________________.
A piezoresistive pressure sensor has a sensitivity of $\text{1 (mV/V) /kPa}$. The sensor is excited with a $\text{dc}$ supply of $\text{10 V}$ and the output is read usin...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
230
GATE IN 2021 | Question: 26
$f\left ( Z \right )=\left ( Z-1 \right )^{-1}-1+\left ( Z-1 \right )-\left ( Z-1 \right )^{2}+ \cdots$ is the series expansion of $\frac{-1}{Z\left ( Z-1 \right )}$ for $\left | Z-1 \right |< 1$ $\frac{1}{Z\left ( Z-1 \right )}$ for $\left | Z-1 \right |< 1$ $\frac{1}{\left ( Z-1 \right )^{2}}$ for $\left | Z-1 \right |< 1$ $\frac{-1}{\left ( Z-1 \right )}$ for $\left | Z-1 \right |< 1$
$f\left ( Z \right )=\left ( Z-1 \right )^{-1}-1+\left ( Z-1 \right )-\left ( Z-1 \right )^{2}+ \cdots$ is the series expansion of$\frac{-1}{Z\left ( Z-1 \right )}$ for $...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Analysis of complex variables
gatein-2021
analysis-of-complex-variables
taylor-series
+
–
0
votes
0
answers
231
GATE IN 2021 | Question: 54
A signal having a bandwidth of $\text{5 MHz}$ is transmitted using the Pulse code modulation $\text{(PCM)}$ scheme as follows. The signal is sampled at a rate of $50\%$ above the Nyquist rate and quantized into $256$ levels. The binary pulse rate of the $\text{PCM}$ signal is $\text{M}$bits per second is __________.
A signal having a bandwidth of $\text{5 MHz}$ is transmitted using the Pulse code modulation $\text{(PCM)}$ scheme as follows. The signal is sampled at a rate of $50\%$ a...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
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0
votes
0
answers
232
GATE IN 2021 | GA Question: 10
Humans have the ability to construct worlds entirely in their minds, which don't exist in the physical world. So far as we know, no other species possesses this ability. ...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gatein-2021
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
233
GATE IN 2021 | Question: 49
The power in a $\text{400 V}$ ($\text{rms}$, line-line) three-phase, three-wire $\text{RYB}$ sequence system is measured using the two wattmetters, as shown. The $\text{R}$-line current is $5\angle 60^\circ \:A$. Wattmeter $W_{1}$ in the $\text{R}$-line will read (in watt) ____________.
The power in a $\text{400 V}$ ($\text{rms}$, line-line) three-phase, three-wire $\text{RYB}$ sequence system is measured using the two wattmetters, as shown. The $\text{R...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
234
GATE IN 2021 | Question: 50
A $3$ $^1/_2$ digit, rectifier type digital meter is set to read in its $\text{2000 V}$ range. A symmetrical square wave of frequency $\text{50 Hz}$ and amplitude $\pm 100 \:V$ is measured using the meter. The meter will read ___________.
A $3$ $^1/_2$ digit, rectifier type digital meter is set to read in its $\text{2000 V}$ range. A symmetrical square wave of frequency $\text{50 Hz}$ and amplitude $\pm 10...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
235
GATE IN 2021 | Question: 1
Consider the row vectors $v=(1,0)$ and $w=(2,0)$. The rank of the matrix $M=2v^{T}v+3w^{T}w$, where the superscript $\text{T}$ denotes the transpose, is $1$ $2$ $3$ $4$
Consider the row vectors $v=(1,0)$ and $w=(2,0)$. The rank of the matrix $M=2v^{T}v+3w^{T}w$, where the superscript $\text{T}$ denotes the transpose, is$1$$2$$3$$4$
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Linear Algebra
gatein-2021
linear-algebra
matrices
rank-of-matrix
vectors
+
–
0
votes
0
answers
236
GATE IN 2021 | Question: 2
Consider the sequence $x_{n}=0.5x_{n-1}+1,n=1,2, \dots \:\dots$ with $x_0=0$ . Then $\displaystyle \lim_{n\rightarrow \infty} x_n$ is $0$ $1$ $2$ $\infty$
Consider the sequence $x_{n}=0.5x_{n-1}+1,n=1,2, \dots \:\dots$ with $x_0=0$ . Then $\displaystyle \lim_{n\rightarrow \infty} x_n$ is$0$$1$$2$$\infty$
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Calculus
gatein-2021
calculus
limits
+
–
0
votes
0
answers
237
GATE IN 2021 | Question: 3
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point $\vec{P}$ not on the $\text{z}$-axis, the direction of the electric field is $\hat{r}$ $\hat{\varnothing }$ $\hat{z }$ $\frac{\left ( \hat{r}+\hat{z} \right )}{\sqrt{2}}$
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point...
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GATE IN 2021 | Question: 41
An air cored coil having a winding resistance of $10\: \Omega$ is connected in series with a variable capacitor $C_{x}$. The series circuit is excited by a $\text{10 V}$ sinusoidal voltage source of angular frequency $1000$ rad/$\text{s}$. As the value of the capacitor is varied, a maximum voltage of $\text{30 V}$ was observed across it. Neglecting skin-effect, the value of the inductance of the coil in millihenry is ___________.
An air cored coil having a winding resistance of $10\: \Omega$ is connected in series with a variable capacitor $C_{x}$. The series circuit is excited by a $\text{10 V}$ ...
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GATE IN 2021 | Question: 18
A strain gage having nominal resistance of $1000\:\Omega$ has a gage factor of $2.5$. If the strain applied to the gage is $100\:\mu m/m$, its resistance in ohm will change to __________________ (rounded off to two decimal places).
A strain gage having nominal resistance of $1000\:\Omega$ has a gage factor of $2.5$. If the strain applied to the gage is $100\:\mu m/m$, its resistance in ohm will chan...
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GATE IN 2021 | Question: 28
A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor circuit in comparison to the rotor being shorted is The starting torque would be higher The power factor at start will be lower The starting current is higher The losses at starting would be lower
A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor...
Arjun
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Arjun
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