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41
GATE IN 2021 | Question: 21
An amplitude modulation $\text{(AM)}$ scheme uses tone modulation, with modulation index of $0.6$. The power efficiency of the $\text{AM}$ scheme is ______________ $\%$ (rounded off to one decimal place).
An amplitude modulation $\text{(AM)}$ scheme uses tone modulation, with modulation index of $0.6$. The power efficiency of the $\text{AM}$ scheme is ______________ $\%$ (...
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42
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...
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43
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 ___________.
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45
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 _______________. $$M=\begin{bmatrix} 1 & 2 & 0 & 0\\ 3 & 4 & 0 & 0\\ 0 & 0 & 4 & 3\\ 0 & 0 & 2 & 1 \end{bmatrix}$$...
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50
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$...
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51
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...
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58
GATE IN 2021 | Question: 38
Given $A=\begin{pmatrix} 2 & 5\\ 0 & 3 \end{pmatrix}$. The value of the determinant $\left | A^{4}-5A^{3}+6A^{2}+2I \right |=$ _______________.
Given $A=\begin{pmatrix} 2 & 5\\ 0 & 3 \end{pmatrix}$. The value of the determinant $\left | A^{4}-5A^{3}+6A^{2}+2I \right |=$ _______________.
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63
GATE IN 2021 | Question: 43
Given $y\left ( t \right )=e^{-3t}u\left ( t \right )\ast u\left ( t+3 \right )$, where $\ast$ denotes convolution operation. The value of $y\left ( t \right )$ as $t\rightarrow \infty$ is ___________________ (rounded off to two decimal places).
Given $y\left ( t \right )=e^{-3t}u\left ( t \right )\ast u\left ( t+3 \right )$, where $\ast$ denotes convolution operation. The value of $y\left ( t \right )$ as $t\rig...
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64
GATE IN 2021 | Question: 44
The input signal shown below is passed through the filter with the following taps The number of non-zero output samples is ________________.
The input signal shown belowis passed through the filter with the following tapsThe number of non-zero output samples is ________________.
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65
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 $...
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67
GATE IN 2021 | Question: 47
The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).
The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).
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68
GATE IN 2021 | Question: 48
All the transistors used in the circuit are matched and have a current gain $\beta$ of $20$. Neglecting the Early effect, the current $I_{O4}$ in milliamphere is ____________.
All the transistors used in the circuit are matched and have a current gain $\beta$ of $20$. Neglecting the Early effect, the current $I_{O4}$ in milliamphere is ________...
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70
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...
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72
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...
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76
GATE2019 IN: GA-1
The fisherman, ________ the flood victims owed their lives, were rewarded by the government. whom to which to whom that
The fisherman, ________ the flood victims owed their lives, were rewarded by the government.whomto whichto whomthat
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78
GATE2019 IN: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
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80
GATE2019 IN: GA-5
Until Iran came along, India had never been ___________ in Kabaddi. defeated defeating defeat defeatist
Until Iran came along, India had never been ___________ in Kabaddi.defeateddefeatingdefeatdefeatist
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