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441
GATE ECE 2000 | Question 1.16
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are $1$ $4$ $5$ $13$
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are$1$$4$$5$$13$
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442
GATE ECE 2000 | Question 1.17
The most commonly used amplifier in sample and hold circuits is a unity gain inverting amplifier a unity gain non-inverting amplifier an inverting amplifier with a gain of $10$ an inverting amplifier with a gain of $100$
The most commonly used amplifier in sample and hold circuits isa unity gain inverting amplifiera unity gain non-inverting amplifieran inverting amplifier with a gain of $...
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443
GATE ECE 2000 | Question 1.18
The number of comparators in a $4$ bit flash $\text{ADC}$ is $4$ $5$ $15$ $16$
The number of comparators in a $4$ bit flash $\text{ADC}$ is$4$$5$$15$$16$
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444
GATE ECE 2000 | Question 1.19
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is $1,0,1$ $0,0,1$ $1,1,1$ $0,1,1$
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is$1,0,1$$0,0,1$$1,1,1$$0,1,1$
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445
GATE ECE 2000 | Question 1.20
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location: $30 \mathrm{~H}$ $24 \mathrm{~H}$ $48 \mathrm{~H}$ $60 \mathrm{~H}$
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location:$30 \mathrm{~H}$$24 \mathrm{~H}$$48 \mathrm{~H}$$60 ...
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446
GATE ECE 2000 | Question 1.21
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impedance of the line is, $25 \; \Omega$ $50 \; \Omega$ $75 \; \Omega$ $100 \; \Omega$
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impeda...
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447
GATE ECE 2000 | Question 1.22
A $\text{TEM}$ wave is incident normally upon a perfect conductor. The $\mathrm{E}$ and $\mathrm{H}$ fields at the boundary will be, respectively, minimum and minimum maximum and maximum minimum and maximum maximum and minimum
A $\text{TEM}$ wave is incident normally upon a perfect conductor. The $\mathrm{E}$ and $\mathrm{H}$ fields at the boundary will be, respectively,minimum and minimummaxim...
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448
GATE ECE 2000 | Question 1.23
The frequency range for satellite communication is $1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$ $100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$ $10 \; \mathrm{MHz}$ to $30 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ to $30 \; \mathrm{GHz}$
The frequency range for satellite communication is$1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$$100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$$10 \; \mathrm{MHz}$ to $30 \; \...
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449
GATE ECE 2000 | Question 1.24
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then its bandwidth increases bandwidth decreases gain increases gain decreases
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then itsbandwidth increasesbandwid...
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450
GATE ECE 2000 | Question 1.25
The circuit of the figure represents a low pass filter high pass filter band pass filter band reject filter
The circuit of the figure represents alow pass filterhigh pass filterband pass filterband reject filter
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451
GATE ECE 2000 | Question 2.1
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are $2,-2,1,-1$ $2, 3, -2, 4$ $2,3,1,4$ None of these
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are$2,-2,1,-1$$2, 3, -2, 4...
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452
GATE ECE 2000 | Question 2.2
Use the data of the figure. The current $i$ in the circuit of the figure is $-2 \mathrm{~A}$ $2 \mathrm{~A}$ $-4 \mathrm{~A}$ $+4 \mathrm{~A}$
Use the data of the figure. The current $i$ in the circuit of the figure is$-2 \mathrm{~A}$$2 \mathrm{~A}$$-4 \mathrm{~A}$$+4 \mathrm{~A}$
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453
GATE ECE 2000 | Question 2.3
For the circuit in the figure, the voltage $v_{0}$ is $2 \mathrm{~V}$ $\text{1 V}$ $-1 \mathrm{~V}$ None of these
For the circuit in the figure, the voltage $v_{0}$ is$2 \mathrm{~V}$$\text{1 V}$$-1 \mathrm{~V}$None of these
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454
GATE ECE 2000 | Question 2.4
A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is $e^{3 t}-e^{2 t}$ $\mathrm{e}^{5 t}$ $e^{3 t}+e^{2 t}$ None of these
A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is$e^{3 t}-e^{...
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455
GATE ECE 2000 | Question 2.5
In the circuit of the figure, assume that the transistor is in active region. It has a large $\beta$ and its base-emitter voltage is $0.7 \mathrm{~V}$. The value of $\mathrm{I}_{\mathrm{c}}$ is Indeterminate since $R$, is not given $1 \mathrm{~mA}$ $5 \mathrm{~m} A$ $10 \mathrm{~mA}$
In the circuit of the figure, assume that the transistor is in active region. It has a large $\beta$ and its base-emitter voltage is $0.7 \mathrm{~V}$. The value of $\mat...
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456
GATE ECE 2000 | Question 2.6
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be $0 \mathrm{~V}$ $5 \; \mathrm{mV}$ $+15 \mathrm{~V}$ or $-15 \mathrm{~V}$ $+50 \mathrm{~V}$ or $-50 \mathrm{~V}$
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be$0 \mathrm{~V}$$5...
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457
GATE ECE 2000 | Question 2.7
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is $\mathrm{A}+\mathrm{B}+\mathrm{C}$ $\mathrm{A}$ $\mathrm{B}$ $\mathrm{C}$
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is$\mathrm{A}+\mathrm{B}+\mathrm{C}$$\mathrm{A}$$\mathrm{B}$$\mathrm{C}$
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458
GATE ECE 2000 | Question 2.8
For the $4$ bit $\text{DAC}$ shown, the output voltage $v_{0}$ is $10 \mathrm{~V}$ $5 \mathrm{~V}$ $4 \mathrm{~V}$ $8 \mathrm{~V}$
For the $4$ bit $\text{DAC}$ shown, the output voltage $v_{0}$ is$10 \mathrm{~V}$$5 \mathrm{~V}$$4 \mathrm{~V}$$8 \mathrm{~V}$
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460
GATE ECE 2000 | Question 2.10
The contents of Register $\text{(B)}$ and Accumulator $\text{(A)}$ of $8085$ microprocessor are $49 \mathrm{H}$ and $3 \mathrm{AH}$ respectively. The contents of $\mathrm{A}$ and the slatus of carry flag $(C Y)$ and sign flag $(S)$ after executing $\text{SUB B}$ ... $\mathrm{A}=1 \mathrm{F}, \mathrm{CY}=1, \text{S}=1$
The contents of Register $\text{(B)}$ and Accumulator $\text{(A)}$ of $8085$ microprocessor are $49 \mathrm{H}$ and $3 \mathrm{AH}$ respectively. The contents of $\mathrm...
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461
GATE ECE 2000 | Question 2.11
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is $0.833 \; \mathrm{kHz}$ $1.0 \; \mathrm{kHz}$ $0.91 \; \mathrm{kHz}$ $0.77 \; \mathrm{kHz}$
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is$0.833 \; \mathrm{kHz}$$1.0 \; \mathrm{kHz}$...
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463
GATE ECE 2000 | Question 2.13
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
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464
GATE ECE 2000 | Question 2.14
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is $3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ $3+4 \sqrt{2} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ ... $3+4 \sin \left(100 t \div \frac{\pi}{4}\right) \mathrm{V}$
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is$3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\ri...
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466
GATE ECE 2000 | Question 2.16
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is $\frac{\mathrm{P}_{m} \cos \theta}{2}$ $\frac{\mathrm{P}_{m}}{4}$ $\frac{P_{m} \sin ^{2} \theta}{4}$ $\frac{P_{m} \cos ^{2} \theta}{4}$
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is$\frac{\mathrm{P}_{m} \cos \theta}{2}$$\fra...
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467
GATE ECE 2000 | Question 2.17
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is $\sin \omega_{1} t-\cos \omega_{2} t$ $\sin \omega_{1} t+\cos \omega_{2} t$ $\cos \omega_{1} t-\sin \omega_{2} t$ $\sin \omega_{1} t+\sin \omega_{2} t$
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is$\sin \omega_{1} t-\cos \omega_{2} t$$\sin \omega_{1} t+\cos \omega_{2} t$$\cos \omega_{1} t-\sin \omega_...
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468
GATE ECE 2000 | Question 2.18
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ ... $\omega_{o} \phi\left(\omega_{o}\right)_{1} \int_{-\infty}^{\omega_{\infty}} \phi(\lambda) d \lambda$
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ are respectively given b...
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469
GATE ECE 2000 | Question 2.19
A system described by the transfer function $\mathrm{H}(s)=\frac{1}{s^{3}+\alpha s^{2}+k s+3}$ is stable. The constraints on $\alpha$ and $k$ are $\alpha>0, \alpha k<3$ $\alpha>0, \alpha k>3$ $\alpha<0, \alpha k>0$ $\alpha>0, \alpha k<0$
A system described by the transfer function$\mathrm{H}(s)=\frac{1}{s^{3}+\alpha s^{2}+k s+3}$ is stable. The constraints on $\alpha$ and $k$ are$\alpha>0, \alpha k<3$$\al...
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471
GATE ECE 2000 | Question 2.21
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates in a $30^{\circ}$ direction with respect to the normal. The value of $\varepsilon_{r}$ is $1.5$ $\sqrt{1.5}$ $2$ $\sqrt{2}$
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates i...
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472
GATE ECE 2000 | Question 2.22
For an $8$ feet $(2.4 \mathrm{~m})$ parabolic dish antenna operating at $4 \; \mathrm{GHz}$, the minimum distance required for far field measurement is closest to $7.5 \mathrm{~cm}$ $15 \mathrm{~cm}$ $15 \mathrm{~m}$ $150 \mathrm{~m}$
For an $8$ feet $(2.4 \mathrm{~m})$ parabolic dish antenna operating at $4 \; \mathrm{GHz}$, the minimum distance required for far field measurement is closest to$7.5 \ma...
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473
GATE ECE 2000 | Question 2.23
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is $2 \mathrm{~dB}$ $5 \mathrm{~dB}$ $8 \mathrm{~dB}$ $12 \mathrm{~dB}$
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is$2 \mathrm{~dB}$$5 \mathrm{~dB}$$8 \mathrm{~dB}$$12 \mathrm{~dB}$...
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474
GATE ECE 2000 | Question 2.24
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is $5 \; \mathrm{GHz}$ $10 \; \mathrm{GHz}$ $15 \; \mathrm{GHz}$ $20 \; \mathrm{GHz}$
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is$5 \; \mathrm{GHz}$$10 \; \mathrm{GHz}$$15 \; \mathrm{GHz}$$20 \;...
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475
GATE ECE 2000 | Question 2.25
Two coaxial cables $1$ and $2$ are filled with different dielectric constants $\varepsilon_{r 1}$ and $\varepsilon_{r 2}$ respectively. The ratio of the wavelengths in the two cables, $\left(\lambda_{1} / \lambda_{2}\right)$ ... $\varepsilon_{r 1} / \varepsilon_{r 2}$ $\varepsilon_{r 2} / \varepsilon_{r 1}$
Two coaxial cables $1$ and $2$ are filled with different dielectric constants $\varepsilon_{r 1}$ and $\varepsilon_{r 2}$ respectively. The ratio of the wavelengths in th...
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476
GATE ECE 2000 | Question 3
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$. Find $v_{c}(t), t>0$, given $v_{c}(0)=0$. Find $i(t), t>0$.
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$.Find $v_{c}(t), t>0$, given $v_{c}(0)=...
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478
GATE ECE 2000 | Question 5
For the given circuit, write the state equations using $v_{c}$ and $i_{\mathrm{L}}$ as state variables.
For the given circuit, write the state equations using $v_{c}$ and $i_{\mathrm{L}}$ as state variables.
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