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562
GATE ECE 1999 | Question 19
The power spectral density $\text{(PSD)}$ ... the bandpass representation for the output noise process, sketch the $\text{PSD}$ of the inphase and quadrature noise components, and determine their respective powers.
The power spectral density $\text{(PSD)}$ of a noise process is given by$\mathrm{S}_{\mathrm{N}}(f)=\left\{\begin{array}{cc}10^{-8}\left(1+\frac{|f|-10^8}{10^8}\right) & ...
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565
GATE ECE 1999 | Question 22
The average power of an omni directional antenna varies as the magnitude of $\cos \theta$, where $\theta$ is the azimuthal angle. Calculate the maximum Directive Gain of the antenna and the angles at which it occurs.
The average power of an omni directional antenna varies as the magnitude of $\cos \theta$, where $\theta$ is the azimuthal angle. Calculate the maximum Directive Gain of ...
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567
GATE ECE 2001 | Question: 1.2
If each branch of a Delta circuit has impedance $\sqrt{3} Z$, then each branch of the equivalent Wye circuit has impedance. $\frac{Z}{\sqrt{3}}$ $3 Z$ $3 \sqrt{3} \mathrm{Z}$ $\frac{Z}{3}$
If each branch of a Delta circuit has impedance $\sqrt{3} Z$, then each branch of the equivalent Wye circuit has impedance.$\frac{Z}{\sqrt{3}}$$3 Z$$3 \sqrt{3} \mathrm{Z}...
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569
GATE ECE 2001 | Question: 1.4
The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure, $-0.2 \; \mathrm{mho}$ $0.1 \; \mathrm{mho}$ $-0.05 \; \mathrm{mho}$ $0.05 \; \mathrm{mho}$
The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure,$-0.2 \; \mathrm{mho}$$0.1 \; \mathrm{mho}$$-0.05 \; \mathrm{mho}$$0.05 \; \mathrm{mho}$
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570
GATE ECE 2001 | Question: 1.5
The region of convergence of the $z$-transform of a unit step function is $|z|>1$ $|z|<1$ (Real part of $z)>0$ ( Real part of $z)<0$
The region of convergence of the $z$-transform of a unit step function is$|z|>1$$|z|<1$(Real part of $z)>0$( Real part of $z)<0$
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571
GATE ECE 2001 | Question: 1.6
The current gain of a BJT is $g_{m} r_{\circ}$ $\frac{g_{m}}{r_{\circ}}$ $g_{m} r_{\pi}$ $\frac{g_{m}}{r_{\pi}}$
The current gain of a BJT is$g_{m} r_{\circ}$$\frac{g_{m}}{r_{\circ}}$$g_{m} r_{\pi}$$\frac{g_{m}}{r_{\pi}}$
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572
GATE ECE 2001 | Question: 1.7
MOSFET can be used as a current controlled capacitor voltage controlled capacitor current controlled inductor voltage controlled inductor
MOSFET can be used as acurrent controlled capacitorvoltage controlled capacitorcurrent controlled inductorvoltage controlled inductor
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573
GATE ECE 2001 | Question: 1.8
The effective channel length of a MOSFET in saturation decreases with increase in gate voltage drain voltage source voltage body voltage
The effective channel length of a MOSFET in saturation decreases with increase ingate voltagedrain voltagesource voltagebody voltage
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575
GATE ECE 2001 | Question: 1.10
The $2$'s complement representation of $-17$ is $01110$ $01111$ $11110$ $10001$
The $2$'s complement representation of $-17$ is$01110$$01111$$11110$$10001$
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577
GATE ECE 2001 | Question: 1.12
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output? $10 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output?$10 \; \...
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578
GATE ECE 2001 | Question: 1.13
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text{RAM}$ is $\text{OFFF H}$ $1000 \; \mathrm{H}$ $\text{B9FF H}$ $\text{BAOO H}$
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text...
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579
GATE ECE 2001 | Question: 1.14
The equivalent of the block diagram in the figure, given in
The equivalent of the block diagram in the figure, given in
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580
GATE ECE 2001 | Question: 1.15
If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system is overdamped critically damped underdamped undamped
If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system isoverdampedcritically dampedunderdampedundamped
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581
GATE ECE 2001 | Question: 1.16
The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped. only if $0 \leq \mathrm{K} \leq 1$ only if $1 < \text{K} < 5$ only if $\mathrm{K} > 5$ if $0 \leq \text{K} < 1$ or $\text{K} > 5$
The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped.only if $0 \leq \mathrm{K} \leq 1$only if $1 < \text{K} < 5$o...
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582
GATE ECE 2001 | Question: 1.17
The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-plane, the number of roots of the system characteristic equation in the right-half of $s$-plane is $0$ $1$ $2$ $3$
The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-pla...
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583
GATE ECE 2001 | Question: 1.18
Let $\delta(t)$ denote the delta function. The value of the integral $\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t$ is $1$ $-1$ $0$ $\frac{\pi}{2}$
Let $\delta(t)$ denote the delta function. The value of the integral $\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t$ is$1$$-1$$0$$\frac{\pi}{2}$
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584
GATE ECE 2001 | Question: 1.19
A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through an RC filter an envelope detector a PLL an ideal low-pass filter with the appropriate bandwidth.
A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples throughan RC filteran envelope detectora PLLan ideal low-pass filt...
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585
GATE ECE 2001 | Question: 1.20
The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is $\frac{1}{2}$ $\frac{1}{3 \sqrt{2 \pi}}$ $0$ $\frac{1}{4}$
The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is$...
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586
GATE ECE 2001 | Question: 1.21
If a signal $f(t)$ has energy $E$, the energy of the signal $f(2 t)$ is equal to $\text{E}$ $\frac{\mathrm{E}}{2}$ $2 \mathrm{E}$ $4 \mathrm{E}$
If a signal $f(t)$ has energy $E$, the energy of the signal $f(2 t)$ is equal to$\text{E}$$\frac{\mathrm{E}}{2}$$2 \mathrm{E}$$4 \mathrm{E}$
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587
GATE ECE 2001 | Question: 1.22
A transmission line is distortionless if $\mathrm{RL}=\frac{1}{\mathrm{GC}}$ $\mathrm{RL}=\mathrm{GC}$ $\mathrm{LG}=\mathrm{RC}$ $\mathrm{RG}=\mathrm{LC}$
A transmission line is distortionless if$\mathrm{RL}=\frac{1}{\mathrm{GC}}$$\mathrm{RL}=\mathrm{GC}$$\mathrm{LG}=\mathrm{RC}$$\mathrm{RG}=\mathrm{LC}$
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589
GATE ECE 2001 | Question: 1.24
The phase velocity of waves propagating in a hollow metal waveguide is greater than the velocity of light in free space. less than the velocity of light in free space. equal to the velocity of light in free space. equal to the group velocity.
The phase velocity of waves propagating in a hollow metal waveguide isgreater than the velocity of light in free space.less than the velocity of light in free space.equal...
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590
GATE ECE 2001 | Question: 1.25
The dominant mode in a rectangular waveguide is $\text{TE10,}$ because this mode has no attenuation no cut-off no magnetic field component the highest cut-off wavelength
The dominant mode in a rectangular waveguide is $\text{TE10,}$ because this mode hasno attenuationno cut-offno magnetic field componentthe highest cut-off wavelength
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592
GATE ECE 2001 | Question: 2.2
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is $14.14 \; \Omega$ $10 \; \Omega$ $200 \; \Omega$ $28.28 \; \Omega$
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is$14.14 \; \Omega$$10 \; \Omega$$200 \; \Omega$$28.28 \; \Omega$
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593
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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596
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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598
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$$-11$
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599
GATE ECE 2001 | Question: 2.9
In the figure, assume the OP-AMPs to be ideal. The output $v_{0}$ of the circuit is $10 \cos (100 t)$ $10 \int_{0}^{1} \cos (100 \tau) d \tau$ $10^{-4} \int_{0}^{t} \cos (100 \tau) d \tau$ $10^{-4} \frac{d}{d t} \cos (100 t)$
In the figure, assume the OP-AMPs to be ideal. The output $v_{0}$ of the circuit is$10 \cos (100 t)$$10 \int_{0}^{1} \cos (100 \tau) d \tau$$10^{-4} \int_{0}^{t} \cos (10...
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600
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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