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1601
GATE ECE 1991 | Question 1.36
In a reflex Klystron oscillator the maximum possible efficiency is $58 \%$ the frequency of oscillation varies linearly with the reflector voltage the power output varies continuously with reflector voltage the power output is maximum at fixed frequency.
In a reflex Klystron oscillatorthe maximum possible efficiency is $58 \%$the frequency of oscillation varies linearly with the reflector voltagethe power output varies co...
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1602
GATE ECE 1991 | Question 1.37
The input impedance of a short-circuited lossless transmission line quarter wave length is purely reactive purely resistive infinite dependent on the characteristic impedance of the line.
The input impedance of a short-circuited lossless transmission line quarter wave length ispurely reactivepurely resistiveinfinitedependent on the characteristic impedance...
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1603
GATE ECE 1991 | Question 1.38
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation. $\frac{\partial^2 E_y}{\partial y^2}=\mu \in \frac{\partial^2 E_y}{\partial t^2}$ ... $\frac{\sqrt{E_x^2+E_z^2}}{\sqrt{H_x^2+H_z^2}}=\sqrt{\frac{\mu}{\epsilon}}$
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation.$\frac{\partial^2 E_y...
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1604
GATE ECE 1991 | Question 1.39
A radio wave is incident on a layer of ionosphere at an angle of $30$ degree with the vertical. If the critical frequency is $1.2 \; \mathrm{MHz}$, the maximum usable frequency is $1.2 \; \mathrm{MHz}$ $2.4 \; \mathrm{MHz}$ $0.6 \; \mathrm{MHz}$ $1.386 \; \mathrm{MHz}$
A radio wave is incident on a layer of ionosphere at an angle of $30$ degree with the vertical. If the critical frequency is $1.2 \; \mathrm{MHz}$, the maximum usable fre...
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1605
GATE ECE 1991 | Question 1.40
In a broad side array of $20$ isotropic radiators, equally spaced at a distance of $\frac{\lambda}{2}$, the beam width between first nulls is $51.3$ degrees $11.46$ degrees $22.9$ degrees $102.6$ degrees
In a broad side array of $20$ isotropic radiators, equally spaced at a distance of $\frac{\lambda}{2}$, the beam width between first nulls is$51.3$ degrees$11.46$ degrees...
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1606
GATE ECE 1991 | Question 2
(a) Find the Laplace transform of the waveform $x(t)$ shown in figure. (b) The network shown in figure is initially under steady state condition with the switch in position $1$. The switch is moved from position $1$ to position $2$ at $t \neq$ 0 . Calculate the current $i(t)$ through $R_1$ after switching.
(a) Find the Laplace transform of the waveform $x(t)$ shown in figure.(b) The network shown in figure is initially under steady state condition with the switch in positio...
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1607
GATE ECE 1991 | Question 3
The open loop transfer function of a feedback control system incorporating a dead time element is given by $ G(s)=\frac{K e^{-T s}}{s(s+1)} $ Where $\mathrm{K}>0$, and $\mathrm{T}>0$ are variable scalar parameters. (a) For a ... $\omega_0$ is the smallest value of $\omega$ satisfying the equation $\omega=\cot \omega T$
The open loop transfer function of a feedback control system incorporating a dead time element is given by$$ G(s)=\frac{K e^{-T s}}{s(s+1)} $$Where $\mathrm{K}>0$, and $\...
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1608
GATE ECE 1991 | Question 4
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration distribution in the $m$ ... coefficient holes is $12 \mathrm{~cm}^2 / \mathrm{sec}$. (b) The velocity of holes in the $n$-region at $x=0$.
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration dist...
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1609
GATE ECE 1991 | Question 5
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ ... are negligible. Determine the minimum value of the linear resistor which can be realized using this $\text{JFET}$ without forward biasing the gate junctions.
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ are as follows: $$ \mathrm{W}=100 \mu \mathrm{m}, \mathrm{L}=\mu \...
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1610
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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1611
GATE ECE 1991 | Question 7
In figure, the operational amplifiers are ideal and their output can swing between $-15$ and $+15$ volts. Sketch on same diagram, the waveform of voltages $V_1$ and $V_2$ as a function of time. You must give the values of important parameters of this sketch.
In figure, the operational amplifiers are ideal and their output can swing between $-15$ and $+15$ volts. Sketch on same diagram, the waveform of voltages $V_1$ and $V_2$...
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1612
GATE ECE 1991 | Question 8
The program given below is run on an 8085 based microcomputer system. Determine the contents of the registers: $\mathrm{PC}, \mathrm{SP}, \mathrm{B}, \mathrm{C}, \mathrm{H}, \mathrm{L}$ after a half instruction is executed.
The program given below is run on an 8085 based microcomputer system. Determine the contents of the registers: $\mathrm{PC}, \mathrm{SP}, \mathrm{B}, \mathrm{C}, \mathrm{...
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1613
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) . $$Using the $K$-map minimize the function in the...
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1614
GATE ECE 1991 | Question 10
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ ... is the carrier frequency. Determine the value of gain $\mathrm{K}$ so that the output is a suppressed carrier $\text{DSB}$ signal.
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ modulator as the ...
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1615
GATE ECE 1991 | Question 11
(a) A Gaussian random variable with zero mean and variance $\sigma$ ... the auto correlation function $R_y(i)$ and power spectral density $S_y(\omega)$ of $Y(t)$ in terms of those of $X(t)$.
(a) A Gaussian random variable with zero mean and variance $\sigma$ is input to a limiter with input output characteristic given by$$ \begin{array}{ll} e_{\text {out }}=e...
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1616
GATE ECE 1991 | Question 12
A uniform plane electromagnetic wave traveling in free space enters into a lossless medium at normal incidence. In the medium its velocity reduces by $50 \%$ and in free space sets up a standing wave having a reflection coefficient of $0.125$. Calculate the permeability and the permittivity of the medium.
A uniform plane electromagnetic wave traveling in free space enters into a lossless medium at normal incidence. In the medium its velocity reduces by $50 \%$ and in free ...
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1619
GATE ECE 2011 | Question: 2
The Column-1 lists the attributes and the Column-2 lists the modulation systems. Match the attribute to the modulation system that best meets it. ... $\text{P-III, Q-II, R-I, S-IV}$ $\text{P-II, Q-IV, R-III, S-I}$
The Column-1 lists the attributes and the Column-2 lists the modulation systems. Match the attribute to the modulation system that best meets it.$\begin{array}{llrl} & \u...
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1620
GATE ECE 2011 | Question: 3
The differential equation $100 \dfrac{d^2 y}{d t^2}-20 \dfrac{d y}{d t}+y=x(t)$ describes a system with an input $x(t)$ and an output $y(t)$. The system, which is initially relaxed, is excited by a unit step input. The output $y(t)$ can be represented by the waveform
The differential equation $100 \dfrac{d^2 y}{d t^2}-20 \dfrac{d y}{d t}+y=x(t)$ describes a system with an input $x(t)$ and an output $y(t)$. The system, which is initial...
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1621
GATE ECE 2011 | Question: 4
For the transfer function $\text{G}(j \omega)=5+j \omega$, the corresponding Nyquist plot for positive frequency has the form
For the transfer function $\text{G}(j \omega)=5+j \omega$, the corresponding Nyquist plot for positive frequency has the form
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1622
GATE ECE 2011 | Question: 5
The trigonometric Fourier series of an even function does not have the dc term cosine terms sine terms odd harmonic terms
The trigonometric Fourier series of an even function does not have thedc termcosine termssine termsodd harmonic terms
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1623
GATE ECE 2011 | Question: 6
When the output $\mathrm{Y}$ in the circuit below is $\text{“1",}$ it implies that data has changed from $\text{“0"}$ to $\text{“1"}$ changed from $\text{“1"}$ to $\text{“0"}$ changed in either direction not changed
When the output $\mathrm{Y}$ in the circuit below is $\text{“1",}$ it implies that data has changed from $\text{“0"}$ to $\text{“1"}$changed from $\text{“1"}$ to ...
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1624
GATE ECE 2011 | Question: 8
The circuit below implements a filter between the input current $\mathrm{i}_{\mathrm{i}}$ and the output voltage $\mathrm{v}_{\mathrm{o}}$. Assume that the opamp is ideal. The filter implemented is a low pass filter band pass filter band stop filter high pass filter
The circuit below implements a filter between the input current $\mathrm{i}_{\mathrm{i}}$ and the output voltage $\mathrm{v}_{\mathrm{o}}$. Assume that the opamp is ideal...
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1626
GATE ECE 2011 | Question: 10
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is $6.4-\mathrm{j} 4.8$ $6.56-\mathrm{j} 7.87$ $10+\mathrm{j} 0$ $16+\mathrm{j} 0$
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is$6.4-\mathrm{j} 4.8$$6.56-\mathrm{j} 7....
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1627
GATE ECE 2011 | Question: 11
In the circuit shown below, the value of $\mathrm{R}_{\mathrm{L}}$ such that the power transferred to $\mathrm{R}_{\mathrm{L}}$ is maximum is $5\; \Omega$ $10\; \Omega$ $15\; \Omega$ $20\; \Omega$
In the circuit shown below, the value of $\mathrm{R}_{\mathrm{L}}$ such that the power transferred to $\mathrm{R}_{\mathrm{L}}$ is maximum is$5\; \Omega$$10\; \Omega$$15\...
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1628
GATE ECE 2011 | Question: 12
The value of the integral $\oint_c \frac{-3 z+4}{\left(z^2+4 z+5\right)} d z$ where $c$ is the circle $|z|=1$ is given by $0$ $1 / 10$ $4 / 5$ $1$
The value of the integral $\oint_c \frac{-3 z+4}{\left(z^2+4 z+5\right)} d z$ where $c$ is the circle $|z|=1$ is given by$0$$1 / 10$$4 / 5$$1$
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1629
GATE ECE 2011 | Question: 13
A transmission line of characteristic impedance $50\; \Omega$ is terminated by a $50\; \Omega$ load. When excited by a sinusoidal voltage source at $10\; \mathrm{GHz}$, the phase difference between two points spaced $2 \mathrm{~mm}$ ... $1.6 \times 10^8 \mathrm{~m} / \mathrm{s}$ $3 \times 10^8 \mathrm{~m} / \mathrm{s}$
A transmission line of characteristic impedance $50\; \Omega$ is terminated by a $50\; \Omega$ load. When excited by a sinusoidal voltage source at $10\; \mathrm{GHz}$, t...
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1630
GATE ECE 2011 | Question: 14
Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium. $\operatorname{Re}(\vec{P})$ denotes the real part of $\vec{P}, S$ denotes a ... decreases with increasing radial distance from the source
Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium....
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1632
GATE ECE 2011 | Question: 16
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by $G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$ $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)^2}$ $G(s) H(s)=k \frac{1}{s(s-1)(s+2)(s+3)}$ $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)}$
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by$G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$$G(s) H(s)=k...
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1633
GATE ECE 2011 | Question: 17
A system is defined by its impulse response $h(n)=2^n u(n-2)$. The system is stable and causal causal but not stable stable but not causal unstable and noncausal
A system is defined by its impulse response $h(n)=2^n u(n-2)$. The system isstable and causalcausal but not stablestable but not causalunstable and noncausal
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1634
GATE ECE 2011 | Question: 18
If the unit step response of a network is $\left(1-e^{-\alpha t}\right)$, then its unit impulse response is $\alpha e^{-\alpha t}$ $\alpha^{-1} e^{-\alpha t}$ $\left(1-\alpha^{-1}\right) e^{-\alpha t}$ $(1-\alpha) e^{-\alpha t}$
If the unit step response of a network is $\left(1-e^{-\alpha t}\right)$, then its unit impulse response is$\alpha e^{-\alpha t}$$\alpha^{-1} e^{-\alpha t}$$\left(1-\alph...
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1636
GATE ECE 2011 | Question: 21
Drift current in semiconductors depends upon only the electric field only the carrier concentration gradient both the electric field and the carrier concentration both the electric field and the carrier concentration gradient
Drift current in semiconductors depends upononly the electric fieldonly the carrier concentration gradientboth the electric field and the carrier concentrationboth the el...
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1637
GATE ECE 2011 | Question: 22
A Zener diode, when used in voltage stabilization circuits, is biased in reverse bias region below the breakdown voltage reverse breakdown region forward bias region forward bias constant current mode
A Zener diode, when used in voltage stabilization circuits, is biased in reverse bias region below the breakdown voltagereverse breakdown regionforward bias regionforward...
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1638
GATE ECE 2011 | Question: 23
The circuit shown below is driven by a sinusoidal input $\mathrm{v}_{\mathrm{i}}=\mathrm{V}_{\mathrm{P}} \cos (\mathrm{t} / \mathrm{RC})$. The steady state output $\text{v}_\text{o}$ is $\left(\mathrm{V}_p / 3\right) \cos (\mathrm{t / R C})$ ... $\left(\mathrm{V}_p / 2\right) \sin (\mathrm{t / R C})$
The circuit shown below is driven by a sinusoidal input $\mathrm{v}_{\mathrm{i}}=\mathrm{V}_{\mathrm{P}} \cos (\mathrm{t} / \mathrm{RC})$. The steady state output $\text{...
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1639
GATE ECE 2011 | Question: 24
Consider a closed surface $S$ surrounding a volume V. If $\vec{r}$ is the position vector of a point inside $S$, with $\hat{n}$ the unit normal on $S$, the value of the integral $\unicode{x222F}_S \; 5 \vec{r} . \hat{n} d S$ is $3 \mathrm{V}$ $5 \mathrm{V}$ $10 \mathrm{V}$ $15 \mathrm{V}$
Consider a closed surface $S$ surrounding a volume V. If $\vec{r}$ is the position vector of a point inside $S$, with $\hat{n}$ the unit normal on $S$, the value of the i...
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1640
GATE ECE 2011 | Question: 26
The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative permeability $\mu_r=1$ ... $\varepsilon_r=3, E_p=360 \pi$ $\varepsilon_r=9, E_p=360 \pi$ $\varepsilon_r=9, E_p=120 \pi$
The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative p...
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