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2721
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}$$\frac{1}{2 \pi} \sqrt{\...
1 votes
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2723
GATE ECE 2008 | Question: 69
Consider the frequency modulated signal $10 \cos \left[2 \pi \times 10^{5} t+5 \sin (2 \pi \times 1500 t)+7.5 \sin (2 \pi \times 1000 t)\right]$ with carrier frequency of $10^{5} \mathrm{~Hz}$. The modulation index is $12.5$ $10$ $7.5$ $5$
Consider the frequency modulated signal $10 \cos \left[2 \pi \times 10^{5} t+5 \sin (2 \pi \times 1500 t)+7.5 \sin (2 \pi \times 1000 t)\right]$ with carrier frequency of...
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2724
GATE ECE 2009 | Question: 48
A communication channel with AWGN operating at a signal to noise ratio $S N R \gg 1$ and bandwidth $B$ has capacity $C_{1}$. If the $S N R$ is doubled keeping $B$ constant, the resulting capacity $C_{2}$ is given by $C_{2} \approx 2 C_{1}$ $C_{2} \approx C_{1}+B$ $C_{2} \approx C_{1}+2 B$ $C_{2} \approx C_{1}+0.3 B$
A communication channel with AWGN operating at a signal to noise ratio $S N R \gg 1$ and bandwidth $B$ has capacity $C_{1}$. If the $S N R$ is doubled keeping $B$ constan...
1 votes
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2727
GATE ECE 2010 | Question: 7
Thin gate oxide in a $\text{CMOS}$ process is preferably grown using wet oxidation dry oxidation epitaxial deposition ion implantation
Thin gate oxide in a $\text{CMOS}$ process is preferably grown usingwet oxidationdry oxidationepitaxial depositionion implantation
1 votes
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2728
GATE ECE 2010 | Question: 43
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by $400 \mathrm{~Hz}$ $600 \mathrm{~Hz}$ $1200 \mathrm{~Hz}$ $1400 \mathrm{~Hz}$
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by$400 \mathrm{~Hz}$$600 \mathrm{~Hz}$$120...
1 votes
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2729
GATE ECE 2010 | Question: 47
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is $1.00$ $1.64$ $2.50$ $3.00$
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is$1.00$$1.64$$2.50$$3.00$...
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2734
GATE ECE 1999 | Question 15
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})$
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function...
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2739
GATE ECE 2002 | Question: 12
An $8085$ microprocessor operating at $5 \; \mathrm{MHz}$ ... states are introduced in the $I/O$ WRITE machine cycle, determine the time interval between two consecutive $\overline{\text{MEMW}}$ signals.
An $8085$ microprocessor operating at $5 \; \mathrm{MHz}$ clock frequency executes the following routine.$\begin{array}{lll} {\text{START:}} & \text{MOVE} & \text{A,B} \\...
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2740
GATE ECE 2002 | Question: 15
The block diagram of a linear time invariant system is given in the figure is Write down the state variable equations for the system in matrix form assuming the state vector to be $\left[x_{1}(t) x_{2}(t)\right]^{\mathrm{T}}$ ... $t=0$ are $x_{1}(0)=1$, and $x_{2}(0)=1.$
The block diagram of a linear time invariant system is given in the figure isWrite down the state variable equations for the system in matrix form assuming the state vect...
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2742
GATE ECE 1998 | Question 2.39
A loop is rotating about the $y$-axis in a magnetic field $\overrightarrow{\mathrm{E}}=\mathrm{B}_{0} \cos (\omega t+\phi) \vec{a}_{x} \mathrm{~T}$. The voltage in the loop is zero due to rotation only due to transformer action only due to both rotation and transformer action
A loop is rotating about the $y$-axis in a magnetic field $\overrightarrow{\mathrm{E}}=\mathrm{B}_{0} \cos (\omega t+\phi) \vec{a}_{x} \mathrm{~T}$. The voltage in the lo...
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2743
GATE ECE 1998 | Question 22
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fourier transform of $g(t)$ is a sine function. Write down to Fourier transform of the pulse obtained by the above convolution.
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fouri...
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2746
GATE ECE 2003 | Question: 86
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient for the normal incidence, is zero $0.5 \angle 180^{\circ}$ $0.333 \angle 0^{\circ}$ $0.333 \angle 180^{\circ}$
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient fo...
1 votes
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2748
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 ...
0 votes
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2751
GATE ECE 1993 | Question 6.4
If $\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}$ then $\lim _{t \rightarrow \infty} f(t)$ is given by $\mathrm{K} / 4$ zero infinite undefined
If $\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}$ then $\lim _{t \rightarrow \infty} f(t)$ is given by$\mathrm{K} / 4...
1 votes
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2753
GATE ECE 2010 | Question: 33
The current $\mathrm{I}$ in the circuit shown is $\text{-j1 A}$ $\text{j1 A}$ $0 \mathrm{~A}$ $20 \mathrm{~A}$
The current $\mathrm{I}$ in the circuit shown is $\text{-j1 A}$$\text{j1 A}$$0 \mathrm{~A}$$20 \mathrm{~A}$
1 votes
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2755
GATE ECE 2010 | Question: 52
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $10 \; \mathrm{kV} / \mathrm{cm}$ $26 \; \mathrm{kV} / \mathrm{cm}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
0 votes
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2756
GATE ECE 1991 | Question 6
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts at the instant $\mathrm{t}=0$. Given that the output $v_0$ is ... $v_0$ and $v_i$. You must give the values of important parameters of this sketch.
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts...
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2757
GATE ECE 1991 | Question 9
The four variable function $\mathrm{f}$ is given in terms of min-terms as: $ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $ Using the $K$-map minimize the function in the sum of products form. Also, given the realization using only two-input $\text{NAND}$ gates.
The four variable function $\mathrm{f}$ is given in terms of min-terms as:$$ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $$Using the $K$-map minimize the function in the...
1 votes
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2759
TIFR ECE 2010 | Question: 12
Consider a system with input $x(t)$ and the output $y(t)$ is given by \[ y(t)=x(t)-\sin (t) x(t-1)-0.5 x(t+2)+1 . \] The system is Non-linear Non-causal Time varying All of the above None of the above
Consider a system with input $x(t)$ and the output $y(t)$ is given by\[y(t)=x(t)-\sin (t) x(t-1)-0.5 x(t+2)+1 .\]The system isNon-linearNon-causalTime varyingAll of the a...
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2760
GATE ECE 1997 | Question 4.10
The boolean function $\mathrm{A}+\mathrm{BC}$ is a reduced form of $\mathrm{AB}+\mathrm{BC}$ $(\mathrm{A}+\mathrm{B}) \cdot(\mathrm{A}+\mathrm{C})$ $\overline{\mathrm{A}} \mathrm{B}+\mathrm{A} \overline{\mathrm{B}} \mathrm{C}$ $(\mathrm{A}+\mathrm{C}) \cdot \mathrm{B}$
The boolean function $\mathrm{A}+\mathrm{BC}$ is a reduced form of$\mathrm{AB}+\mathrm{BC}$$(\mathrm{A}+\mathrm{B}) \cdot(\mathrm{A}+\mathrm{C})$$\overline{\mathrm{A}} \m...
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