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241
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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243
GATE IN 2021 | Question: 42
A household fan consumes $\text{60 W}$ and draws a current of $\text{0.3125 A (rms)}$ when connected to a $\text{230 V (rms) ac }$, $\text{50 Hz}$ single phase mains. The reactive power drawn by the fan in $\text{VAr}$ is _______________________ (rounded off to the nearest integer).
A household fan consumes $\text{60 W}$ and draws a current of $\text{0.3125 A (rms)}$ when connected to a $\text{230 V (rms) ac }$, $\text{50 Hz}$ single phase mains. The...
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244
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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247
GATE IN 2021 | Question: 16
A $\text{300 V}$, $\text{5 A}$, $\text{LPF}$ wattmeter has a full scale of $\text{300 W}$. The wattmeter can be used for loads supplied by $\text{300 V ac}$ mains with a maximum power factor of ___________________ (rounded off to one decimal place).
A $\text{300 V}$, $\text{5 A}$, $\text{LPF}$ wattmeter has a full scale of $\text{300 W}$. The wattmeter can be used for loads supplied by $\text{300 V ac}$ mains with a ...
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250
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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251
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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253
GATE IN 2021 | Question: 8
The signal $\sin\left ( \sqrt{2\pi t} \right )$ is periodic with period $T=\sqrt{2\pi }$ not periodic periodic with period $T=2\pi$ periodic with period $T=4\pi ^{2}$
The signal $\sin\left ( \sqrt{2\pi t} \right )$ isperiodic with period $T=\sqrt{2\pi }$not periodic periodic with period $T=2\pi$periodic with period $T=4\pi ^{2}$
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254
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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257
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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261
GATE2020 IN: 21
Assume that the opamp in the circuit shown is ideal. The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
Assume that the opamp in the circuit shown is ideal.The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
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1 answer
262
GATE2020: 20
A second order system has closed loop poles located at $s=-3\pm j4$. The time t at which the maximum value of the step response occurs (in seconds, rounded off to two decimal places) is ________
A second order system has closed loop poles located at $s=-3\pm j4$. The time t at which the maximum value of the step response occurs (in seconds, rounded off to two dec...
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265
GATE2020 IN: 28
A straight line drawn on an x-y plane intercepts the x-axis at -0.5 and the y-axis at 1. The equation that describes this line is __________. $\text{y=-0.5x+1}$ $\text{y=x-0.5}$ $\text{y=0.5x-1}$ $\text{y=2x+1}$
A straight line drawn on an x-y plane intercepts the x-axis at -0.5 and the y-axis at 1.The equation that describes this line is __________.$\text{y=-0.5x+1}$$\text{y=x-0...
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267
GATE2020 IN: 31
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
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269
GATE2020 IN: 54
In the Maxwell-Wien bridge shown, the detector D reads zero when $C_1=100 nF$ and $R_1=100 k\Omega$. The Q factor of the coil is ______
In the Maxwell-Wien bridge shown, the detector D reads zero when $C_1=100 nF$ and $R_1=100 k\Omega$. The Q factor of the coil is ______
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273
GATE2020 IN: 38
Assuming that the opamp used in the circuit shown is ideal, the reading of the $1\;Hz$ bandwidth, permanent magnet moving coil $(PMMC)$ type voltmeter $\text{(in volts)}$ is __________
Assuming that the opamp used in the circuit shown is ideal, the reading of the $1\;Hz$ bandwidth, permanent magnet moving coil $(PMMC)$ type voltmeter $\text{(in volts)}$...
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274
GATE2020 IN: 39
If the opamps in the circuit shown are ideal and $V_x=0.5\;mV$, the steady state value of $V_\circ \; \text{(in volts, rounded off to two decimal places)}$ is ___________
If the opamps in the circuit shown are ideal and $V_x=0.5\;mV$, the steady state value of $V_\circ \; \text{(in volts, rounded off to two decimal places)}$ is ___________...
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277
GATE2020 IN: 25
Two $100\: \Omega$ resistors having tolerance $3\%$ and $4\%$ are connected in series. The effective tolerance of the series combination $\text{(in % rounded off to one decimal place)}$ is ___________.
Two $100\: \Omega$ resistors having tolerance $3\%$ and $4\%$ are connected in series. The effective tolerance of the series combination $\text{(in % rounded off to one d...
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278
GATE2020 IN: 33
The rms value of the phasor current $\underline{I}$ in the circuit shown $\text{(in amperes)}$ is _____.
The rms value of the phasor current $\underline{I}$ in the circuit shown $\text{(in amperes)}$ is _____.
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279
GATE2020 IN: 34
In the circuit shown, the rms value of the voltage across the $ 100 \Omega$ resistor $\text{(in volts)}$ is _________.
In the circuit shown, the rms value of the voltage across the $ 100 \Omega$ resistor $\text{(in volts)}$ is _________.
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