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601
GATE2014-15
For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _________.
For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _______...
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602
GATE2014-16
The system function of an LTI system is given by $H(Z)=\frac{1-\frac{1}{3}Z^{-1}}{1-\frac{1}{4}Z^{-1}}$ The above system can have stable inverse if the region of convergence of $H(Z)$ is defined as $|Z|<\frac{1}{4}$ $|Z|<\frac{1}{12}$ $|Z|>\frac{1}{4}$ $|Z|<\frac{1}{3}$
The system function of an LTI system is given by$$H(Z)=\frac{1-\frac{1}{3}Z^{-1}}{1-\frac{1}{4}Z^{-1}}$$The above system can have stable inverse if the region of converge...
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603
GATE2014-17
The figure is a logic circuit with inputs $A$ and $B$ and output $Y.V_{95}=+5\;V$. The circuit is of type $NOR$ $AND$ $OR$ $NAND$
The figure is a logic circuit with inputs $A$ and $B$ and output $Y.V_{95}=+5\;V$. The circuit is of type$NOR$$AND$$OR$$NAND$
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604
GATE2014-18
The impulse response of an LTI system is given as: $h[n]=\left\{ \begin{array}{rcl} \frac{\omega_c}{\pi} & n=0\\ \frac{\sin \omega_cn}{\pi n} & n\neq 0 \end{array}\right.$ It represents an ideal non-casual, low-pass filter casual, low-pass filter non-casual, high-pass filter casual, high-pass filter
The impulse response of an LTI system is given as:$h[n]=\left\{ \begin{array}{rcl} \frac{\omega_c}{\pi} & n=0\\ \frac{\sin \omega_cn}{\pi n} & n\neq 0 \end{array}\right.$...
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605
GATE2014-19
A discrete-time signal $x[n]$ is obtained by sampling an analog signal at $10\;kHz$. The signal $x[n]$ is filtered by a system with impulse response $h[n]=0.5${$ \delta [n]+\delta [n-1]$}. The $3dB$ cutoff frequency of the filter is: $1.25\;kHz$ $2.50\;kHz$ $4.00\;kHz$ $5.00\;kHz$
A discrete-time signal $x[n]$ is obtained by sampling an analog signal at $10\;kHz$. The signal $x[n]$ is filtered by a system with impulse response $h[n]=0.5${$ \delta [...
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606
GATE2014-20
A full duplex binary $FSK$ transmission is made through a channel of bandwidth $10\;kHz$. In each direction of transmission the two carriers used for the two states are separated by $2\;kHz$. The maximum baud rate for this transmission is: $2000\;bps$ $3000\;bps$ $5000\;bps$ $10000\;bps$
A full duplex binary $FSK$ transmission is made through a channel of bandwidth $10\;kHz$. In each direction of transmission the two carriers used for the two states are s...
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607
GATE2014-21
A loop transfer function is given by: $G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$ The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at _________
A loop transfer function is given by:$$G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$$The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at ...
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608
GATE2014-22
The resistance and inductance of an inductive coil are measured using an AC bridge as shown in the figure. The bridge is to be balanced by varying the impedance $Z_2$. For obtaining balance, $Z_2$ should consist of element(s): $R$ and $C$ $R$ and $L$ $L$ and $C$ Only $C$
The resistance and inductance of an inductive coil are measured using an AC bridge as shown in the figure. The bridge is to be balanced by varying the impedance $Z_2$.For...
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610
GATE2014-24
In order to remove respiration related motion artifacts from an $ECG$ signal, the following filter should be used: low-pass filter with $f_c=0.5\;Hz$ high-pass filter with $f_c=0.5\;Hz$ high-pass filter with $f_c=49.5\;Hz$ band-pass filter with passband between $0.1\;Hz$ and $0.5\;Hz$
In order to remove respiration related motion artifacts from an $ECG$ signal, the following filter should be used:low-pass filter with $f_c=0.5\;Hz$high-pass filter with ...
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611
GATE2014-25
In a time-of-flight mass spectrometer if $q$ is the charge and $m$ the mass of the ionized species, then the time of flight is proportional to $\frac{\sqrt m}{\sqrt q}$ $\frac{\sqrt q}{\sqrt m}$ $\frac{m}{\sqrt q}$ $\frac{q}{\sqrt m}$
In a time-of-flight mass spectrometer if $q$ is the charge and $m$ the mass of the ionized species, then the time of flight is proportional to$\frac{\sqrt m}{\sqrt q}$$\f...
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614
GATE2014-28
For the matrix $A$ satisfying the equation given below, the eigenvalues are $[A] \begin {bmatrix} 1&2&3\\7&8&9\\4&5&6\end{bmatrix}=\begin {bmatrix} 1&2&3\\4&5&6\\7&8&9\end{bmatrix}$ $(1,-j,j)$ $(1,1,0)$ $(1,1,-1)$ $(1,0,0)$
For the matrix $A$ satisfying the equation given below, the eigenvalues are$$[A] \begin {bmatrix} 1&2&3\\7&8&9\\4&5&6\end{bmatrix}=\begin {bmatrix} 1&2&3\\4&5&6\\7&8&9\en...
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615
GATE2014-29
In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the current through the capacitor (in mA) is __________.
In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the curren...
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616
GATE2014-30
A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes unity. The value of the capacitance required in $\mu F$ is ___________.
A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes u...
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618
GATE2014-32
The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the terminals $C$ and $D$ is ___________.
The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the termina...
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619
GATE2014-33
A thermistor has a resistance of $1\;k\Omega$ at temperature $298\;K$ and $465\;\Omega$ at temperature $316\;K$. The temperature sensitivity in $K^{-1}[i.e(1/R)(dR/dT),$ where $R$ is the resistance at the temperature $T(in\; K)]$, of this thermistor at $316\;K$ is ___________.
A thermistor has a resistance of $1\;k\Omega$ at temperature $298\;K$ and $465\;\Omega$ at temperature $316\;K$. The temperature sensitivity in $K^{-1}[i.e(1/R)(dR/dT),$ ...
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623
GATE2014-37
Assuming an ideal op-amp in linear range of operation, the magnitude of the transfer impedance $\frac{V_0}{i}$ in $M\Omega$ of the current to voltage converter shown in the figure is ___________.
Assuming an ideal op-amp in linear range of operation, the magnitude of the transfer impedance $\frac{V_0}{i}$ in $M\Omega$ of the current to voltage converter shown in t...
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624
GATE2014-38
For the circuit shown in the figure, the transistor has $\beta=40, V_{BE}=0.7\;V$, and the voltage across the Zener diode is $15\;V$. The current (in mA) through the Zener diode is ____________.
For the circuit shown in the figure, the transistor has $\beta=40, V_{BE}=0.7\;V$, and the voltage across the Zener diode is $15\;V$. The current (in mA) through the Zene...
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626
GATE2014-40
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
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627
GATE2014-41
An $N-$bit, $ADC$ has an analog reference voltage $V$. Assuming zero mean and uniform distribution of the quantization error, the quantization noise power will be: $\frac{V^2}{12(2^N-1)^2}$ $\frac{V^2}{12(2^N-1)}$ $\frac{V}{12(2^N-1)}$ $\frac{V^2}{\sqrt{12} }$
An $N-$bit, $ADC$ has an analog reference voltage $V$. Assuming zero mean and uniform distribution of the quantization error, the quantization noise power will be:$\frac{...
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630
GATE2014-44
$X(k)$ is the Discrete Fourier Transform of a 6-point real sequence $x(n).$ If $X(0)=9+j0, X(2)=2+j2, X(3)=3-j0, X(5)=1-j1, x(0)$ is $3$ $9$ $15$ $18$
$X(k)$ is the Discrete Fourier Transform of a 6-point real sequence $x(n).$If $X(0)=9+j0, X(2)=2+j2, X(3)=3-j0, X(5)=1-j1, x(0)$ is$3$$9$$15$$18$
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631
GATE2014-45
The transfer function of a digital system is given by: $\frac{b_0}{1-z^{-1}+a_2z^{-2}},\text{ where $a_2$ is real.}$ The transfer function in $BIBO$ stable if the value of $a_2$ is: $-1.5$ $-0.75$ $0.5$ $1.5$
The transfer function of a digital system is given by:$$\frac{b_0}{1-z^{-1}+a_2z^{-2}},\text{ where $a_2$ is real.}$$The transfer function in $BIBO$ stable if the value o...
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632
GATE2014-46
The transfer function of a system is given by $G(s)=\frac{e^{-s/500}}{s+500}$ The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the system is found to be $y(t)=A\sin(100\pi t-\phi).$ The phase angle $(\phi )$ in degree is ___________.
The transfer function of a system is given by$$G(s)=\frac{e^{-s/500}}{s+500}$$The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the s...
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635
GATE2014-49
The loop transfer function of a feedback control system is given by $G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$ Its phase crossover frequency (in rad/s), approximated to two decimal places, is ______________.
The loop transfer function of a feedback control system is given by$$G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$$Its phase crossover frequency (in rad/s), approximated to two decima...
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637
GATE2014-51
Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance $d(t)$. The value of $K$, for which the disturbance response at the output $y(t)$ is zero mean, is : $1$ $-1$ $2$ $-2$
Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance $d(t)$. The value of $K$, for which the disturbance respons...
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