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Recent questions tagged gate2017-in

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41
GATE2017: 24
The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$ $\text{0-20 mA}$ $\text{4-20 mA}$ $\text{0-5 V}$
The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$$\text{0-20 mA}$$\text{4-20 mA}$$\text{0-5 V}$
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42
GATE2017: 27
The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.
The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.
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43
GATE2017: 28
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. The order of the polynominal is $1$ $2$ $3$ $4$
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. T...
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44
GATE2017: 29
The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.
The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.
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45
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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46
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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48
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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49
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$$1,\;5,\;5$
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50
GATE2017: 5
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $\frac{1}{1000+j\omega}$ $\frac{1}{1+j1000\omega}$ $\frac{2000\pi}{2000\pi+j\omega}$ $\frac{1000\omega}{1+j1000\omega}$
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $...
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51
GATE2017: 6
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor $\text(V_L)$ is ___________$\text{V}$.
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in ...
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52
GATE2017: 7
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ ... $\begin{bmatrix}1 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}5 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}1 &2\\0.5 &5\end{bmatrix}$
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ networks are given as $$\begin{bmatrix}A &B\\C &D\end{bmatrix}...
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53
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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54
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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56
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$$1$
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57
GATE2017: 12
The Region of Convergence $\text {(ROC)}$ of the $\text Z$-transform of a causal unit step discrete-time sequence is $|z|<1$ $|z|\leq1$ $|z|>1$ $|z|\geq1$
The Region of Convergence $\text {(ROC)}$ of the $\text Z$-transform of a causal unit step discrete-time sequence is $|z|<1$$|z|\leq1$$|z|>1$$|z|\geq1$
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58
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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59
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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60
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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61
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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62
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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63
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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