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361
GATE2017: 30
For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.
For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.
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362
GATE2017: 1
If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.
If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.
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364
GATE2017: 3
Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ = $\cos z$ $cos\overline{z}$ $\sin z$ $\sin\overline{z}$
Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ =$\cos z$$cos\overline{z}$$\sin z$$\sin\overline{z}$
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365
GATE2017: 4
The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are $-1,\;5,\;6$ $1,\;-5\pm j6$ $1,\;5\pm j6$ $1,\;5,\;5$
The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are$-1,\;5,\;6$$1,\;-5\pm j6$$1,\;5\pm j6$$1,\;5,\;5$
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366
GATE2017: 5
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $\frac{1}{1000+j\omega}$ $\frac{1}{1+j1000\omega}$ $\frac{2000\pi}{2000\pi+j\omega}$ $\frac{1000\omega}{1+j1000\omega}$
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $...
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367
GATE2017: 6
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor $\text(V_L)$ is ___________$\text{V}$.
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in ...
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368
GATE2017: 7
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ ... $\begin{bmatrix}1 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}5 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}1 &2\\0.5 &5\end{bmatrix}$
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ networks are given as $$\begin{bmatrix}A &B\\C &D\end{bmatrix}...
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369
GATE2017: 8
A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$ is _____________ $\text{V}$.
A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$...
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370
GATE2017: 9
A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.
A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.
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372
GATE2017: 11
If a continuous-time signal $x(t)=\cos(2\pi t)$ is sampled at $ \text{4 Hz}$, the value of the discrete-time sequence $x(n)$ at $n=5$ is $-0.707$ $-1$ $0$ $1$
If a continuous-time signal $x(t)=\cos(2\pi t)$ is sampled at $ \text{4 Hz}$, the value of the discrete-time sequence $x(n)$ at $n=5$ is$-0.707$$-1$$0$$1$
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373
GATE2017: 12
The Region of Convergence $\text {(ROC)}$ of the $\text Z$-transform of a causal unit step discrete-time sequence is $|z|<1$ $|z|\leq1$ $|z|>1$ $|z|\geq1$
The Region of Convergence $\text {(ROC)}$ of the $\text Z$-transform of a causal unit step discrete-time sequence is $|z|<1$$|z|\leq1$$|z|>1$$|z|\geq1$
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374
GATE2017: 13
The term hysteresis is associated with $\text{ON-OFF control}$ $\text{P-I control}$ $\text{Feed-forward control}$ $\text{Ratio control}$
The term hysteresis is associated with $\text{ON-OFF control}$$\text{P-I control}$$\text{Feed-forward control}$$\text{Ratio control}$
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375
GATE2017: 14
The differential amplifier, shown in the figure, has a differential gain of $A_d=100$ and common mode gain of $A_c=0.1$. If $V_1=5.01\;\text{V}$ and $V_2=5.00\;\text{V}$, then $\text{Vo}$, in $\text{volt}$ (up to one decimal place) is ______________.
The differential amplifier, shown in the figure, has a differential gain of $A_d=100$ and common mode gain of $A_c=0.1$. If $V_1=5.01\;\text{V}$ and $V_2=5.00\;\text{V}$,...
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376
GATE2017: 15
The silicon diode, shown in the figure, has a barrier potential of $0.7\;\text{V}$. There will be no forward current flow through the diode, if $V_{dc}$, in $\text{volt}$, is greater than $0.7$ $1.3$ $1.8$ $2.6$
The silicon diode, shown in the figure, has a barrier potential of $0.7\;\text{V}$. There will be no forward current flow through the diode, if $V_{dc}$, in $\text{volt}$...
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377
GATE2017: 16
The figure shows a phase locked loop. The output frequency is locked at $f_0=5\;\text{kHz}$. The value of $f_i$ in $\text{kHz}$ is _______________.
The figure shows a phase locked loop. The output frequency is locked at $f_0=5\;\text{kHz}$. The value of $f_i$ in $\text{kHz}$ is _______________.
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378
GATE2017: 17
The condition for oscillation in a feedback oscillator circuit is that at the frequency of oscillation, initially the loop gain is greater than unity while the total phase shift around the loop in $\text{degree}$ is $0$ $90$ $180$ $270$
The condition for oscillation in a feedback oscillator circuit is that at the frequency of oscillation, initially the loop gain is greater than unity while the total phas...
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379
GATE2017: 18
The output $\text V_\circ$ shown in the figure, in $\text{volt}$, is close to $-20$ $-15$ $-5$ $0$
The output $\text V_\circ$ shown in the figure, in $\text{volt}$, is close to$-20$$-15$$-5$$0$
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382
GATE2019 IN: GA-1
The fisherman, ________ the flood victims owed their lives, were rewarded by the government. whom to which to whom that
The fisherman, ________ the flood victims owed their lives, were rewarded by the government.whomto whichto whomthat
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384
GATE2019 IN: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
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386
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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390
GATE2019 IN: GA-9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
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393
GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...
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394
GATE2019 IN: 3
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is 4/15 7/16 ½ 8/15
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and...
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395
GATE2019 IN: 4
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the ratio of the root mean-square (RMS) voltage across the resistor R in Figure (a) to that in figure (b) is $\sqrt{2}$: 1 2: 1 2$\sqrt{2}$ : 1 4:1
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...
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396
GATE2019 IN: 5
The output y(t) of a system is related to its input x(t) as y(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function of the system is $\frac{1}{s}$ $\frac{(1-e^{-2s})}{s}$ $\frac {e^{-2s}}{s}$ $\frac{1}{s} – e^{-2s}$
The output y(t) of a system is related to its input x(t) asy(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function...
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397
GATE2019 IN: 6
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input Bounded-Output (BIBO) stable is |$\alpha$| < 1 |$\alpha$| = 1 |$\alpha$| > 1 |$\alpha$| < 3/2
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input...
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400
GATE2019 IN: 9
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would reduce by a factor $\sqrt{2}$ reduce by a factor 2 increase by a factor $\sqrt{2}$ increase by a factor 2
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit wouldreduce by a factor $\sqrt{2}$reduce ...
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