Register
Filter

Highest voted questions in Others

1 votes
1 answer
161
GATE ECE 2007 | Question: 44
The following binary values were applied to the $\mathrm{X}$ and $\mathrm{Y}$ inputs of the NAND latch shown in the figure in the sequence indicated below: \[ \mathrm{X}=0, \mathrm{Y}=1 ; \quad \mathrm{X}=0, \mathrm{Y}=0 ; \quad \mathrm{X}=1, \mathrm{Y}=1 \ ...
The following binary values were applied to the $\mathrm{X}$ and $\mathrm{Y}$ inputs of the NAND latch shown in the figure in the sequence indicated below:\[ \mathrm{X}=0...
1 votes
0 answers
162
GATE ECE 2007 | Question: 45
For the circuit shown, the counter state $\left(\mathrm{Q}_{1} \mathrm{Q}_{0}\right)$ follows the sequence $00,01,10,11,00 \ldots$ $00,01,10,00,01 \ldots$ $00,01,11,00,01 \ldots$ $00,10,11,00,10 \ldots$
For the circuit shown, the counter state $\left(\mathrm{Q}_{1} \mathrm{Q}_{0}\right)$ follows the sequence$00,01,10,11,00 \ldots$$00,01,10,00,01 \ldots$$00,01,11,00,01 \l...
1 votes
0 answers
164
GATE ECE 2007 | Question: 47
The $\text{3-dB}$ bandwidth of the low-pass signal $e^{-t} u(t)$, where $u(t)$ is the unit step function, is given by $\frac{1}{2 \pi} \mathrm{Hz}$ $\frac{1}{2 \pi} \sqrt{\sqrt{2}-1} \mathrm{~Hz}$ $\infty$ $1 \mathrm{~Hz}$
The $\text{3-dB}$ bandwidth of the low-pass signal $e^{-t} u(t)$, where $u(t)$ is the unit step function, is given by$\frac{1}{2 \pi} \mathrm{Hz}$$\frac{1}{2 \pi} \sqrt{\...
1 votes
0 answers
165
GATE ECE 2007 | Question: 48
A Hilbert transformer is a non-linear system non-causal system time-varying system low-pass system
A Hilbert transformer is anon-linear systemnon-causal systemtime-varying systemlow-pass system
1 votes
0 answers
166
GATE ECE 2007 | Question: 49
The frequency response of a linear, time-invariant system is given by $H(f)=\dfrac{5}{1+j 10 \pi f}$. The step response of the system is $5\left(1-e^{-5 t}\right) u(t)$ $5\left(1-e^{-\frac{t}{5}}\right) u(t)$ $\frac{1}{5}\left(1-e^{-5 t}\right) u(t)$ $\frac{1}{5}\left(1-e^{-\frac{t}{5}}\right) u(t)$
The frequency response of a linear, time-invariant system is given by $H(f)=\dfrac{5}{1+j 10 \pi f}$. The step response of the system is$5\left(1-e^{-5 t}\right) u(t)$$5\...
1 votes
0 answers
168
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...
1 votes
0 answers
169
GATE ECE 2007 | Question: 52
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $K_{P}$ and $K_{D}$ are $K_{P}=100, K_{D}=0.09$ $K_{P}=100, K_{D}=0.9$ $K_{P}=10, K_{D}=0.09$ $K_{P}=10, K_{D}=0.9$
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $...
1 votes
0 answers
170
GATE ECE 2007 | Question: 53
The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is $\frac{1}{(s+5)(s+1)}$ $\frac{5}{(s+5)(s+1)}$ $\frac{5}{s^{2}+s+1}$ $\frac{1}{s^{2}+s+1}$
The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is$\frac{1}{(s+5)(...
1 votes
0 answers
171
GATE ECE 2007 | Question: 54
The open-loop transfer function of a plant is given as $G(s)=\dfrac{1}{s^{2}-1}$. If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is $\frac{10(s-1)}{s+2}$ $\frac{10(s+4)}{s+2}$ $\frac{10(s+2)}{s+10}$ $\frac{2(s+2)}{s+10}$
The open-loop transfer function of a plant is given as $G(s)=\dfrac{1}{s^{2}-1}$. If the plant is operated in a unity feedback configuration, then the lead compensator th...
1 votes
0 answers
172
GATE ECE 2007 | Question: 55
A unity feedback control system has an open-loop transfer function $G(s)=\dfrac{K}{s\left(s^{2}+7 s+12\right)}$. The gain $K$ for which $s=-1+j 1$ will lie on the root locus of this system is $4$ $5.5$ $6.5$ $10$
A unity feedback control system has an open-loop transfer function $G(s)=\dfrac{K}{s\left(s^{2}+7 s+12\right)}$. The gain $K$ for which $s=-1+j 1$ will lie on the root lo...
1 votes
0 answers
173
GATE ECE 2007 | Question: 56
The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function $G(s)$ corresponding to this Bode plot is $\frac{1}{(s+1)(s+20)}$ $\frac{1}{s(s+1)(s+20)}$ $\frac{100}{s(s+1)(s+20)}$ $\frac{100}{s(s+1)(1+0.05 s)}$
The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function $G(s)$ corresponding to this Bode plot is$\frac{1}{(s+1)(s+20)}$$\frac{1}...
1 votes
0 answers
175
GATE ECE 2007 | Question: 58
In delta modulation, the slope overload distortion can be reduced by decreasing the step size decreasing the granular noise decreasing the sampling rate increasing the step size
In delta modulation, the slope overload distortion can be reduced bydecreasing the step sizedecreasing the granular noisedecreasing the sampling rateincreasing the step s...
1 votes
0 answers
176
GATE ECE 2007 | Question: 59
The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W t}{4 \pi W t\left(1-16 W^{2} t^{2}\right)}$. The value of $p(t)$ at $t=\dfrac{1}{4 W}$ is $-0.5$ $0$ $0.5$ $\infty$
The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W ...
1 votes
0 answers
177
GATE ECE 2007 | Question: 60
In the following scheme, if the spectrum $M(f)$ of $m(t)$ is as shown, then the spectrum $Y(f)$ of $y(t)$ will be
In the following scheme, if the spectrum $M(f)$ of $m(t)$ is as shown, then the spectrum $Y(f)$ of $y(t)$ will be
1 votes
0 answers
178
GATE ECE 2007 | Question: 61
During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a block of $n$ bits is given by $p^{n}$ $1-p^{n}$ $n p(1-p)^{n-1}+(1-p)^{n}$ $1-(1-p)^{n}$
During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a blo...
1 votes
0 answers
184
GATE ECE 2007 | Question: 67
A load of $50\; \Omega$ is connected in shunt in a $2$-wire transmission line of $Z_{0}=50 \;\Omega$ as shown in the figure. The $2$-port scattering parameter matrix $\text{(S-matrix)}$ ...
A load of $50\; \Omega$ is connected in shunt in a $2$-wire transmission line of $Z_{0}=50 \;\Omega$ as shown in the figure. The $2$-port scattering parameter matrix $\te...
1 votes
0 answers
186
GATE ECE 2007 | Question: 69
A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in the plane of the dipole ( $\vec{E}$ plane) looks approximately as
A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in th...
1 votes
0 answers
187
GATE ECE 2007 | Question: 70
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly polarized, the relative dielectric constant $\varepsilon_{r 2}$ is $\sqrt{2}$ $\sqrt{3}$ $2$ $3$
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly pol...
1 votes
0 answers
188
GATE ECE 2007 | Question: 71
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... is $50 \; \mathrm{~nm}$ $143 \; \mathrm{~nm}$ $350 \; \mathrm{~nm}$ $1 \; \mu \mathrm{m}$
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
1 votes
0 answers
189
GATE ECE 2007 | Question: 72
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... $0.857 \; \mu \mathrm{m}$ $1 \; \mu \mathrm{m}$ $1.143 \; \mu \mathrm{m}$
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
1 votes
0 answers
190
GATE ECE 2007 | Question: 73
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... is false $\mathrm{S} 1$ is false and $\mathrm{S} 2$ is true Both $\text{S1}$ and $\text{S2}$ are false
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
1 votes
0 answers
192
GATE ECE 2007 | Question: 75
Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ ... both the constellations The value of $N_{0}$ will determine which of the two constellations has a lower probability of symbol error
Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...
1 votes
0 answers
193
GATE ECE 2007 | Question: 76
Consider the Op-Amp circuit shown in the figure. The transfer function $V_{o}(s) / V_{i}(s)$ is $\frac{1-s R C}{1+s R C}$ $\frac{1+s R C}{1-s R C}$ $\frac{1}{1-s R C}$ $\frac{1}{1+s R C}$
Consider the Op-Amp circuit shown in the figure.The transfer function $V_{o}(s) / V_{i}(s)$ is$\frac{1-s R C}{1+s R C}$$\frac{1+s R C}{1-s R C}$$\frac{1}{1-s R C}$$\frac{...
1 votes
0 answers
194
GATE ECE 2007 | Question: 77
Consider the Op-Amp circuit shown in the figure. If $V_{i}=V_{1} \sin (\omega t)$ and $V_{o}=V_{2} \sin (\omega t+\phi)$, then the minimum and maximum values of $\phi$ (in radians) are respectively $-\pi / 2$ and $\pi / 2$ $0$ and $\pi / 2$ $-\pi$ and $0$ $-\pi / 2$ and $0$
Consider the Op-Amp circuit shown in the figure.If $V_{i}=V_{1} \sin (\omega t)$ and $V_{o}=V_{2} \sin (\omega t+\phi)$, then the minimum and maximum values of $\phi$ (in...
1 votes
0 answers
195
GATE ECE 2007 | Question: 78
An $8085$ assembly language program is given below. Line 1: MVI A,B5H 2: MVI B0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLT The contents of the accumulator just after execution of the $\textsf{ADD}$ instruction in line $4$ will be $\text{C3H}$ $\text{EAH}$ $\mathrm{DCH}$ $69 \mathrm{H}$
An $8085$ assembly language program is given below.Line 1: MVI A,B5H 2: MVI B0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLTThe contents of the accumula...
1 votes
0 answers
197
GATE ECE 2007 | Question: 80
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\left[\begin{array}{r}1 \\ -2\end{array}\right]$ ... $\left(1,\left[\begin{array}{r}1 \\ -2\end{array}\right]\right)$
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...
1 votes
0 answers
198
GATE ECE 2007 | Question: 81
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\left[\begin{array}{r}1 \\ -2\end{array}\right]$ ... $\left[\begin{array}{rr}0 & 1 \\ -2 & -3\end{array}\right]$
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...
Page: