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602
GATE ECE 2001 | Question: 1.24
The phase velocity of waves propagating in a hollow metal waveguide is greater than the velocity of light in free space. less than the velocity of light in free space. equal to the velocity of light in free space. equal to the group velocity.
The phase velocity of waves propagating in a hollow metal waveguide isgreater than the velocity of light in free space.less than the velocity of light in free space.equal...
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603
GATE ECE 2001 | Question: 1.25
The dominant mode in a rectangular waveguide is $\text{TE10,}$ because this mode has no attenuation no cut-off no magnetic field component the highest cut-off wavelength
The dominant mode in a rectangular waveguide is $\text{TE10,}$ because this mode hasno attenuationno cut-offno magnetic field componentthe highest cut-off wavelength
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605
GATE ECE 2001 | Question: 2.2
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is $14.14 \; \Omega$ $10 \; \Omega$ $200 \; \Omega$ $28.28 \; \Omega$
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is$14.14 \; \Omega$$10 \; \Omega$$200 \; \Omega$$28.28 \; \Omega$
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606
GATE ECE 2001 | Question: 2.3
When the angular frequency $\omega$ in the figure, varied from $0$ to $\infty$, the locus of the current phasor $\mathrm{I}_{2}$ is given by
When the angular frequency $\omega$ in the figure, varied from $0$ to $\infty$, the locus of the current phasor $\mathrm{I}_{2}$ is given by
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609
GATE ECE 2001 | Question: 2.6
The transistor shunt regulator shown in the figure is has a regulated output voltage of $10 \mathrm{~V}$, when the input varies from $20 \mathrm{~V}$ to $30 \mathrm{~V}$ ... $\mathrm{P}_{\mathrm{Z}}=115 \mathrm{~mW}, \mathrm{P}_{\mathrm{T}}=11.9 \mathrm{~W}$
The transistor shunt regulator shown in the figure is has a regulated output voltage of $10 \mathrm{~V}$, when the input varies from $20 \mathrm{~V}$ to $30 \mathrm{~V}$....
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611
GATE ECE 2001 | Question: 2.8
The inverting OP-AMP shown in the figure has an open-loop gain of $100.$ The closed-loop gain $\frac{v_{0}}{v_{s}}$ is $-8$ $-9$ $-10$ $-11$
The inverting OP-AMP shown in the figure has an open-loop gain of $100.$ The closed-loop gain $\frac{v_{0}}{v_{s}}$ is$-8$$-9$$-10$$-11$
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612
GATE ECE 2001 | Question: 2.9
In the figure, assume the OP-AMPs to be ideal. The output $v_{0}$ of the circuit is $10 \cos (100 t)$ $10 \int_{0}^{1} \cos (100 \tau) d \tau$ $10^{-4} \int_{0}^{t} \cos (100 \tau) d \tau$ $10^{-4} \frac{d}{d t} \cos (100 t)$
In the figure, assume the OP-AMPs to be ideal. The output $v_{0}$ of the circuit is$10 \cos (100 t)$$10 \int_{0}^{1} \cos (100 \tau) d \tau$$10^{-4} \int_{0}^{t} \cos (10...
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613
GATE ECE 2001 | Question: 2.10
In the figure, the $\text{LED}$ emits light when both $S_{1}$ and $S_{2}$ are closed. emits light when both $S_{1}$ and $S_{2}$ are open. emits light when only of $S_{1}$ or $S_{2}$ is closed. does not emit light, irrespective of the switch positions.
In the figure, the $\text{LED}$emits light when both $S_{1}$ and $S_{2}$ are closed.emits light when both $S_{1}$ and $S_{2}$ are open.emits light when only of $S_{1}$ or...
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615
GATE ECE 2001 | Question: 2.12
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digital block is given by
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digit...
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617
GATE ECE 2001 | Question: 2.14
The impulse response functions of four linear systems $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4}$ ... of these systems is time invariant, causal, and stable? $\mathrm{S}_{1}$ $\mathrm{S}_{2}$ $\mathrm{S}_{3}$ $\mathrm{S}_{4}$
The impulse response functions of four linear systems $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4}$ are given respectively by$\begin{array}{ll} h_{1...
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618
GATE ECE 2001 | Question: 2.15
An electrical system and its signal-flow graph representations are shown in the figure respectively. The values of $G_{2}$ and $H$, respectively, are $\frac{Z_3(s)}{Z_2(s)+Z_3(s)+Z_4(s)}, \frac{-Z_3(s)}{Z_1(s)+Z_3(s)}$ ... $\frac{-Z_3(s)}{Z_2(s)-Z_3(s)+Z_4(s)}, \frac{Z_3(s)}{Z_1(s)+Z_3(s)}$
An electrical system and its signal-flow graph representations are shown in the figure respectively. The values of $G_{2}$ and $H$, respectively, are$\frac{Z_3(s)}{Z_2(s)...
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619
GATE ECE 2001 | Question: 2.16
The open-loop $\text{DC}$ gain of a unity negative feedback system with closed-loop transfer function $\frac{s+4}{s^{2}+7 s+13}$ is $\frac{4}{13}$ $\frac{4}{9}$ $4$ $13$
The open-loop $\text{DC}$ gain of a unity negative feedback system with closed-loop transfer function $\frac{s+4}{s^{2}+7 s+13}$ is$\frac{4}{13}$$\frac{4}{9}$$4$$13$
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620
GATE ECE 2001 | Question: 2.17
The feeback control system in the figure is stable. for all $K \geq 0$ only if $\mathrm{K} \geq 1$ only if $0 \leq \mathrm{K}<1$ only if $0 \leq K \leq 1$
The feeback control system in the figure is stable.for all $K \geq 0$only if $\mathrm{K} \geq 1$only if $0 \leq \mathrm{K}<1$only if $0 \leq K \leq 1$
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621
GATE ECE 2001 | Question: 2.18
A video transmission system transmits $625$ picture frames per second. Each frame consists of a $400 \times 400$ pixel grid with $64$ intensity levels per pixel. The data rate of the system is $16 \; \mathrm{Mbps}$ $100 \; \mathrm{Mbps}$ $600 \; \mathrm{Mbps}$ $6.4 \; \mathrm{Gbps}$
A video transmission system transmits $625$ picture frames per second. Each frame consists of a $400 \times 400$ pixel grid with $64$ intensity levels per pixel. The data...
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622
GATE ECE 2001 | Question: 2.19
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is $\frac{1}{350} \mathrm{sec}$ $\frac{\pi}{350} \sec$ $\frac{1}{700} \mathrm{sec}$ $\frac{\pi}{175} \mathrm{sec}$
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is$\frac{1}{350} \mathrm{sec}$$\frac{\pi}{350} \sec$$\frac{1}{700} \mathrm{sec...
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623
GATE ECE 2001 | Question: 2.20
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one bit error is equal to $1-(1-p)^n$ $p+(n-1)(1-p)$ $n p(1-p)^{n-1}$ $(1-p)^{n}+ n p(1-p)^{n-1}$
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one...
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625
GATE ECE 2001 | Question: 2.22
A material has conductivity of $10^{-2} \mathrm{mho/m}$ and a relative permittivity of $4.$ The frequency at which the conduction current in the medium is equal to the displacement current is $45 \; \mathrm{MHz}$ $90 \; \mathrm{MHz}$ $450 \; \mathrm{MHz}$ $900 \; \mathrm{MHz}$
A material has conductivity of $10^{-2} \mathrm{mho/m}$ and a relative permittivity of $4.$ The frequency at which the conduction current in the medium is equal to the di...
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626
GATE ECE 2001 | Question: 2.23
A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of $3.$ What is the percentage of incident power that is reflected? $10 \%$ $25 \%$ $50 \%$ $75 \%$
A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of $3.$ What is the percentage of incident pow...
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627
GATE ECE 2001 | Question: 2.24
A medium wave radio transmitter operating at a wavelength of $492 \mathrm{~m}$ has a tower antenna of height $124 \mathrm{~m}$. What is the radiation resistance of the antenna? $25 \; \Omega$ $36.5 \; \Omega$ $50 \; \Omega$ $73 \; \Omega$
A medium wave radio transmitter operating at a wavelength of $492 \mathrm{~m}$ has a tower antenna of height $124 \mathrm{~m}$. What is the radiation resistance of the an...
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628
GATE ECE 2001 | Question: 2.25
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming the main beam at $60^{\circ}$ off the end-fire is $-\pi$ radians $-\frac{\pi}{2}$ radians $-\frac{\pi}{4}$ radians $-\frac{\pi}{8}$ radians
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming t...
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629
GATE ECE 2001 | Question: 3
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided. For the circuit shown in the figure, determine the phasors $\mathrm{E}_{2}, \mathrm{E}_{0}, \mathrm{I}$, and $\mathrm{I}_{1}$.
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided.For the circuit shown in ...
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633
GATE ECE 2001 | Question: 7
An emitter-follower amplifier is shown in the figure, $Z_{i}$ is the impedance looking into the base of the transistor and $Z_{0}$ ... $Z_{0}$. Determine $Z_{i}$ and $Z_{0}$ if a capacitor $C_{L}$ is connected across $R_{L}$.
An emitter-follower amplifier is shown in the figure, $Z_{i}$ is the impedance looking into the base of the transistor and $Z_{0}$ is the impedance looking into the emitt...
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636
GATE ECE 2001 | Question: 10
In the figure, the output of the oscillator, $\mathrm{V}_{1}$ has $10 \mathrm{~V}$ ... exact timings when the waveforms $\mathrm{V}_{2}$ and $\mathrm{V}_{3}$ make high-to-low and low-to-high transitions.
In the figure, the output of the oscillator, $\mathrm{V}_{1}$ has $10 \mathrm{~V}$ peak amplitude with zero DC value. The transfer characteristic of the Schmitt inverter ...
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638
GATE ECE 2001 | Question: 12
Consider the following sequence of instructions for an $8085$ ... ports $\text{(PORT1, PORT2}$ and $\text{PORT3)}$ will be loaded with data, and what is the bit pattern of the data?
Consider the following sequence of instructions for an $8085$ microprocessor based system.$\begin{array}{lll} \text{Memory Address} & \text{Instructions} \\ \text{FF00} &...
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640
GATE ECE 2001 | Question: 14
Consider the feedback control system shown in figure, Find the transfer function of the system and its characteristic equation. Use the Routh-Hurwitz criterion to determine the range of $\mathrm{K}$ for which the system is stable.
Consider the feedback control system shown in figure,Find the transfer function of the system and its characteristic equation.Use the Routh-Hurwitz criterion to determine...
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