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1681
GATE ECE 2003 | Question: 49
The action of a $\text{JFET}$ in its equivalent circuit can best be represented as a Current Controlled Current Source Current Controlled Voltage Source Voltage Controlled Voltage Source Voltage Controlled Current Source
The action of a $\text{JFET}$ in its equivalent circuit can best be represented as aCurrent Controlled Current SourceCurrent Controlled Voltage SourceVoltage Controlled V...
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1682
GATE ECE 2004 | Question: 47
The value of $\mathrm{C}$ required for sinusoidal oscillations of frequency $1 \; \mathrm{kHz}$ in the circuit of given figure is $\frac{1}{2 \pi} \; \mu \text{F}$ $2 \pi \; \mu \text{F}$ $\frac{1}{2 \pi \sqrt{6}} \; \mu \text{F}$ $2 \pi \sqrt{6} \; \mu \text{F}$
The value of $\mathrm{C}$ required for sinusoidal oscillations of frequency $1 \; \mathrm{kHz}$ in the circuit of given figure is$\frac{1}{2 \pi} \; \mu \text{F}$$2 \pi \...
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1683
GATE ECE 2004 | Question: 60
A $1 \; \mathrm{kHz}$ sinusoidal signal is ideally sampled at $1500$ samples/sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequencey $800 \mathrm{~Hz}$. The output signal has the frequency zero $\text{Hz}$ $0.75 \; \mathrm{kHz}$ $0.5 \; \mathrm{kHz}$ $0.25 \; \mathrm{kHz}$
A $1 \; \mathrm{kHz}$ sinusoidal signal is ideally sampled at $1500$ samples/sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequencey...
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1684
GATE ECE 2004 | Question: 67
A system has poles at $0.01 \mathrm{~Hz}, 1 \mathrm{~Hz}$ and $80 \mathrm{~Hz}$; zeros at $5 \mathrm{~Hz}, 100 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$. The approximate phase of the system response at $20 \mathrm{~Hz}$ is $-90^{\circ}$ $0^{\circ}$ $90^{\circ}$ $-180^{\circ}$
A system has poles at $0.01 \mathrm{~Hz}, 1 \mathrm{~Hz}$ and $80 \mathrm{~Hz}$; zeros at $5 \mathrm{~Hz}, 100 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$. The approximate phase...
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1685
GATE ECE 2004 | Question: 76
A $100 \; \mathrm{MHz}$ carrier of $1 \mathrm{~V}$ amplitude and a $1 \; \mathrm{MHz}$ modulating signal of $1 \mathrm{~V}$ ... $\sqrt{5 / 4+\cos \left(2 \pi \times 10^{6} t\right)}$
A $100 \; \mathrm{MHz}$ carrier of $1 \mathrm{~V}$ amplitude and a $1 \; \mathrm{MHz}$ modulating signal of $1 \mathrm{~V}$ amplitude are fed to a balanced modulator. The...
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1687
GATE ECE 2005 | Question: 77
Two identical and parallel dipole antennas are kept apart by a distance of $\frac{\lambda}{4}$ in the H-plane. They are fed with equal currents but the right most antenna has a phase shift of $+90^{\circ}$. The radiation pattern is given as
Two identical and parallel dipole antennas are kept apart by a distance of $\frac{\lambda}{4}$ in the H-plane. They are fed with equal currents but the right most antenna...
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1688
GATE ECE 1995 | Question 1.47
Copper behaves as a conductor always conductor or dielectric depending on the applied electric field strength conductor or dielectric depending on the frequency conductor or dielectric depending on the electric current density
Copper behaves as aconductor alwaysconductor or dielectric depending on the applied electric field strengthconductor or dielectric depending on the frequencyconductor or ...
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1689
GATE ECE 2006 | Question: 79
Statement for Linked Answer Questions 78 and 79 The following two questions refer to wide sense stationary stochastic processes The parameters of the system obtained in $\text{Q.78}$ would be first order $\text{R-L}$ ... lowpass filter would have $\mathrm{R}=1 \Omega, \mathrm{L}=4 \mathrm{H}, \mathrm{C}=4 \mathrm{F}$
Statement for Linked Answer Questions 78 and 79The following two questions refer to wide sense stationary stochastic processesThe parameters of the system obtained in $\t...
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1690
GATE ECE 1994 | Question 3.5
Channel current is reduced on application of a more positive voltage to the gate of a depletion mode $n$-channel $\text{MOSFET}$.
Channel current is reduced on application of a more positive voltage to the gate of a depletion mode $n$-channel $\text{MOSFET}$.
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1691
GATE ECE 2007 | Question: 51
The $z$-transform $X[z]$ of a sequence $x[n]$ is given by $X[z]=\dfrac{0.5}{1-2 z^{-1}}$. It is given that the region of convergence of $X[z]$ includes the unit circle. The value of $x[0]$ is $-0.5$ $0$ $0.25$ $0.5$
The $z$-transform $X[z]$ of a sequence $x[n]$ is given by $X[z]=\dfrac{0.5}{1-2 z^{-1}}$. It is given that the region of convergence of $X[z]$ includes the unit circle. T...
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1693
GATE ECE 2008 | Question: 68
Four messages band limited to $\text{W, W, 2W}$ and $\text{3W}$ respectively are to be multiplexed using $\text{Time Division Multiplexing (TDM)}.$ The minimum bandwidth required for transmission of this $\text{TDM}$ signal is $\mathrm{W}$ $3 \mathrm{W}$ $6 \mathrm{W}$ $7 \mathrm{W}$
Four messages band limited to $\text{W, W, 2W}$ and $\text{3W}$ respectively are to be multiplexed using $\text{Time Division Multiplexing (TDM)}.$ The minimum bandwidth ...
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1694
GATE ECE 2008 | Question: 81
In the following transistor circuit, $V_{B E}=0.7 \mathrm{~V}, r_{e}=25 \; \mathrm{mV} / I_{E},$ and $\beta$ and all the capacitances are very large. The mid-band voltage gain of the amplifier is approximately $-180$ $-120$ $-90$ $-60$
In the following transistor circuit, $V_{B E}=0.7 \mathrm{~V}, r_{e}=25 \; \mathrm{mV} / I_{E},$ and $\beta$ and all the capacitances are very large.The mid-band voltage ...
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1696
GATE ECE 1993 | Question 6.17
In a microcomputer, wait states are used to make the processor wait during a $\text{DMA}$ operation make the processor wait during an interrupt processing make the processor wait during a power shutdown interface slow peripherals to the processor
In a microcomputer, wait states are used tomake the processor wait during a $\text{DMA}$ operationmake the processor wait during an interrupt processingmake the processor...
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1697
GATE ECE 1999 | Question 2.22
In a twin-wire transmission line in air, the adjacent voltage maxima are at $12.5 \mathrm{~cm}$ and $27.5 \mathrm{~cm}$. The operating frequency is $300 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$ $6.28 \; \mathrm{GHz}$
In a twin-wire transmission line in air, the adjacent voltage maxima are at $12.5 \mathrm{~cm}$ and $27.5 \mathrm{~cm}$. The operating frequency is$300 \; \mathrm{MHz}$$1...
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1698
GATE ECE 2002 | Question: 2.17
The system with the open loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)=\frac{1}{s\left(s^{2}+s+1\right)}$ has a gain margin of $-6 \mathrm{~dB}$ $0 \mathrm{~dB}$ $3.5 \mathrm{~dB}$ $6 \mathrm{~dB}$
The system with the open loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)=\frac{1}{s\left(s^{2}+s+1\right)}$ has a gain margin of$-6 \mathrm{~dB}$$0 \mathrm{~...
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1699
GATE ECE 1998 | Question 2.5
The threshold voltage for each transistor in the figure is $2 \mathrm{V}$. For this circuit to work as an inverter, $V_{i}$ must take the values $-5 \mathrm{~V}$ and $0 \mathrm{~V}$ $-5 \mathrm{~V}$ and $5 \mathrm{~V}$ $-0 \mathrm{~V}$ and $3 \mathrm{~V}$ $3 \mathrm{~V}$ and $5 \mathrm{~V}$
The threshold voltage for each transistor in the figure is $2 \mathrm{V}$. For this circuit to work as an inverter, $V_{i}$ must take the values$-5 \mathrm{~V}$ and $0 \m...
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1700
GATE ECE 1998 | Question 2.13
The $K$-map for a Boolean function is shown in the figure is The number of essential prime implicants for this function is $4$ $5$ $6$ $8$
The $K$-map for a Boolean function is shown in the figure is The number of essential prime implicants for this function is$4$$5$$6$$8$
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1701
GATE ECE 1998 | Question 2.23
The Fourier transform of a voltage signal $x(t)$ is $X(f)$. The unit of $|X(f)|$ is volt volt-sec volt/sec volt $^{2}$
The Fourier transform of a voltage signal $x(t)$ is $X(f)$. The unit of $|X(f)|$ isvoltvolt-secvolt/secvolt $^{2}$
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1702
GATE ECE 1998 | Question 2.26
The spectral density of a real valued random process has an even symmetry an odd symmetry a conjugate symmetry no symmetry
The spectral density of a real valued random process hasan even symmetryan odd symmetrya conjugate symmetryno symmetry
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1704
GATE ECE 2003 | Question: 55
A $4$ bit ripple counter and a $4$ bit synchronous counter are made using flip flops having a propagation delay of $10 \mathrm{~ns}$ each. If the worst case delay in the ripple counter and the synchronous counter be $R$ and $S$ ... $\mathrm{R}=30 \mathrm{~ns}, \mathrm{~S}=10 \mathrm{~ns}$
A $4$ bit ripple counter and a $4$ bit synchronous counter are made using flip flops having a propagation delay of $10 \mathrm{~ns}$ each. If the worst case delay in the ...
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1706
GATE ECE 2004 | Question: 62
Consider the sequence $x[n]=\left[\begin{array}{lll}-4- \uparrow{j} 5 & 1+j 2 & 4\end{array}\right]$ The conjugate anti-symmetric part of the sequence is $[-4-j 2.5 \quad j 2 \quad 4-j 2.5]$ $[-j 2.5 \quad 1 \quad j 2.5]$ $[-j 5 \quad j 2 \quad 0]$ $\left[\begin{array}{lll}-4 & 1 & 4\end{array}\right]$
Consider the sequence $x[n]=\left[\begin{array}{lll}-4- \uparrow{j} 5 & 1+j 2 & 4\end{array}\right]$The conjugate anti-symmetric part of the sequence is$[-4-j 2.5 \quad j...
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1707
GATE ECE 2004 | Question: 69
If $A=\left[\begin{array}{cc}-2 & 2 \\ 1 & -3\end{array}\right]$, then $\sin A t$ ...
If $A=\left[\begin{array}{cc}-2 & 2 \\ 1 & -3\end{array}\right]$, then $\sin A t$ is$\frac{1}{3}\left[\begin{array}{cc}\sin (-4 t)+2 \sin (-t) & -2 \sin (-4 t)+2 \sin (-t...
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1708
GATE ECE 2004 | Question: 71
For the polynomial $P(s)=s^{5}+s^{4}+2 s^{3}+2 s^{2}+3 s+15$, the number of roots which lie in the right half of the s-plane is $4$ $2$ $3$ $1$
For the polynomial $P(s)=s^{5}+s^{4}+2 s^{3}+2 s^{2}+3 s+15$, the number of roots which lie in the right half of the s-plane is$4$$2$$3$$1$
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1710
GATE ECE 1994 | Question 3.3
If $G(s)$ is a stable transfer function, then $F(s)=\frac{1}{G(s)}$ is always a stable transfer function.
If $G(s)$ is a stable transfer function, then $F(s)=\frac{1}{G(s)}$ is always a stable transfer function.
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1711
GATE ECE 2008 | Question: 66
Noise with double-sided power spectral density of $\mathrm{K}$ over all frequencies is passed through a $\text{RC}$ low pass filter with $3 \mathrm{~dB}$ cut-off frequency of $f_{c}$. The noise power at the filter output is $\mathrm{K}$ $\mathrm{K} f_{c}$ $\mathrm{K} \pi f_{c}$ $\infty$
Noise with double-sided power spectral density of $\mathrm{K}$ over all frequencies is passed through a $\text{RC}$ low pass filter with $3 \mathrm{~dB}$ cut-off frequenc...
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1714
GATE ECE 1999 | Question 2.25
A plane wave propagating through a medium $\left[\varepsilon_{\mathrm{r}}=8, v_{\mathrm{r}}=2\right.$, and $\left.\sigma=0\right]$ ... $377$ $198.5 \angle 180^{\circ}$ $182.9 \angle 14^{\circ}$ $133.3$
A plane wave propagating through a medium $\left[\varepsilon_{\mathrm{r}}=8, v_{\mathrm{r}}=2\right.$, and $\left.\sigma=0\right]$ has its electric field given by $\overr...
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1717
GATE ECE 2004 | Question: 72
The state variable equations of a system are: $\begin{array}{l} 1. \; x_{1}=-3 x_{1}-x_{2}+u \\ 2. \; x_{2}=2 x_{1} \\ \quad y=x_{1}+u \end{array}$ The system is controllable but not observable observable but not controllable neither controllable nor observable controllable and observable
The state variable equations of a system are:$\begin{array}{l} 1. \; x_{1}=-3 x_{1}-x_{2}+u \\ 2. \; x_{2}=2 x_{1} \\ \quad y=x_{1}+u \end{array}$The system iscontrollabl...
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1720
GATE ECE 1994 | Question 3.6
The look-ahead carry adder is a parallel carry adder where all sum digits are generated directly from the input digits.
The look-ahead carry adder is a parallel carry adder where all sum digits are generated directly from the input digits.
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