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2881
GATE ECE 1998 | Question 2.33
The depth of penetration of wave in a lossy dielectric increases with increasing conductivity permeability wavelength permittivity
The depth of penetration of wave in a lossy dielectric increases with increasingconductivitypermeabilitywavelengthpermittivity
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2882
GATE ECE 1998 | Question 9
Draw a signal flow graph for the following set of algebraic equations \[\begin{array}{l} y_{2}=a \; y_{1}-g \; y_{3} \\ y_{3}=e \; y_{2}+c \; y_{4} \\ y_{4}=b \; y_{2}-d \; y_{4}\end{array}\] Hence, find the gains $\frac{y_{2}}{y_{1}}$ and $\frac{y_{3}}{y_{1}}$
Draw a signal flow graph for the following set of algebraic equations\[\begin{array}{l}y_{2}=a \; y_{1}-g \; y_{3} \\y_{3}=e \; y_{2}+c \; y_{4} \\y_{4}=b \; y_{2}-d \; y...
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Sep 26, 2022
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2883
GATE ECE 1998 | Question 19
The pulse rate in a $\text{DM}$ system is $56,000$ per sec. The input signal is $5 \cos (2 \pi \; 1000 \; t)+2 \cos (2 \pi \; 2000 \; t) \; \mathrm{V}$, with $t$ in sec. Find the minimum value of step size which will avoid slope overload distortion. What will be the disadvantages of choosing a value of larger than the minimum?
The pulse rate in a $\text{DM}$ system is $56,000$ per sec. The input signal is $5 \cos (2 \pi \; 1000 \; t)+2 \cos (2 \pi \; 2000 \; t) \; \mathrm{V}$, with $t$ in sec. ...
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2884
GATE ECE 2003 | Question: 58
The circuit shown in the figure converts BCD to binary code Binary to excess $-3$ code Excess $-3$ to Gray code Gray to Binary code
The circuit shown in the figure convertsBCD to binary codeBinary to excess $-3$ codeExcess $-3$ to Gray codeGray to Binary code
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2885
GATE ECE 2003 | Question: 82
If $\text{S}$ represents the carrier synchronization at the receiver and $\rho$ represents the bandwidth efficiency, then the correct statement for the coherent binary $\text{PSK}$ is $\rho=0.5, S$ is required $\rho=1.0, S$ is required $\rho=0.5, \mathrm{~S}$ is not required $\rho=1.0, S$ is not required
If $\text{S}$ represents the carrier synchronization at the receiver and $\rho$ represents the bandwidth efficiency, then the correct statement for the coherent binary $\...
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2886
GATE ECE 2004 | Question: 57
Consider the sequence of $8085$ instructions given below. $\text{LXI H, 9258, MOV A, M, CMA, MOV M, A}$ Which one of the following is performed by this sequence? Contents of location $9258$ are moved to the accumulator Contents of ... location $8529$ are complemented and stored in location $8529$ Contents of location $5892$ are complemented and stored in location $5892$
Consider the sequence of $8085$ instructions given below.$\text{LXI H, 9258, MOV A, M, CMA, MOV M, A}$Which one of the following is performed by this sequence?Contents of...
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Sep 25, 2022
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2887
GATE ECE 1995 | Question 1.43
The electric field strength at a distance point, $\mathrm{P}$, due to a point charge, $+q$. located on the origin, is $100 \; \mu \mathrm{V} / \mathrm{m}$. If the point charge is now enclosed by a perfectly conducting metal sheet sphere whose centre is at the origin, then ... $-100 \; \mu \mathrm{V} / \mathrm{m}$ $50 \; \mu \mathrm{V} / \mathrm{m}$
The electric field strength at a distance point, $\mathrm{P}$, due to a point charge, $+q$. located on the origin, is $100 \; \mu \mathrm{V} / \mathrm{m}$. If the point c...
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Sep 21, 2022
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2888
GATE ECE 1995 | Question 2.10
An $n$ – channel $\text{JFET}$ has $\mathrm{I}_{\text {DSS }}=1 \mathrm{~mA}$ and $\mathrm{V}_{P}=-5 \mathrm{~V}$. Its maximum transconductance is _________.
An $n$ – channel $\text{JFET}$ has $\mathrm{I}_{\text {DSS }}=1 \mathrm{~mA}$ and $\mathrm{V}_{P}=-5 \mathrm{~V}$.Its maximum transconductance is _________.
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2889
GATE ECE 1995 | Question 3.3
In a $\text{JFET}$ if (A) the pinch-off voltage decreases (B) the transconductance increases (C) the transit time of the carriers in the channel is reduced the channel doping is reduced the channel length is increased the conductivity of the channel increased the channel length is reduced the Gate area is reduced
In a $\text{JFET}$ if(A) the pinch-off voltage decreases(B) the transconductance increases(C) the transit time of the carriers in the channel is reducedthe channel dopin...
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2890
GATE ECE 2006 | Question: 60
The minimum step-size required for a Delta-Modulator operating at $32 \mathrm{~K}$ samples/ $\mathrm{sec}$ to track the signal (here $u(t)$ is the unit-step function) $\begin{array}{l}x(t)=125 t(u(t)-u(t-1))+(250-125 t)(u(t-1) -u(t-2)) \end{array}$ so that slope-overload is avoided, would be $2^{-10}$ $2^{-8}$ $2^{-6}$ $2^{-4}$
The minimum step-size required for a Delta-Modulator operating at $32 \mathrm{~K}$ samples/ $\mathrm{sec}$ to track the signal (here $u(t)$ is the unit-step function)$\be...
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Sep 20, 2022
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2891
GATE ECE 1994 | Question 3.9
Noise figure of an amplifier is always greater than $1$ .
Noise figure of an amplifier is always greater than $1$ .
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2892
GATE ECE 1994 | Question 4.7
(a) Single side band (1) Envelope detector (b) Amplitude (2) Integrate and dump modulation (c) Binary phase-shift (3) Hilbert transform keying (4) Ratio detector (5) Phase-locked loop
(a) Single side band(1) Envelope detector(b) Amplitude(2) Integrate and dump modulation(c) Binary phase-shift(3) Hilbert transform keying (4) Ratio detector (5) Phase-loc...
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2893
GATE ECE 2007 | Question: 46
An $8255$ chip is interfaced to an $8085$ microprocessor system as an $\mathrm{I} / \mathrm{O}$ mapped $\mathrm{I} / \mathrm{O}$ as shown in the figure. The address lines $\mathrm{A}_{0}$ and $\mathrm{A}_{1}$ of the $8085$ are used by the $8255$ chip ... $\mathrm{F} 8 \mathrm{H}-\mathrm{FFH}$ $\mathrm{F0H}-\mathrm{F} 7 \mathrm{H}$
An $8255$ chip is interfaced to an $8085$ microprocessor system as an $\mathrm{I} / \mathrm{O}$ mapped $\mathrm{I} / \mathrm{O}$ as shown in the figure. The address lines...
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2894
GATE ECE 2007 | Question: 61
During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a block of $n$ bits is given by $p^{n}$ $1-p^{n}$ $n p(1-p)^{n-1}+(1-p)^{n}$ $1-(1-p)^{n}$
During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a blo...
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2895
GATE ECE 2007 | Question: 73
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... is false $\mathrm{S} 1$ is false and $\mathrm{S} 2$ is true Both $\text{S1}$ and $\text{S2}$ are false
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
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2896
GATE ECE 2008 | Question: 60
For the circuit shown in the figure, $\mathrm{D}$ has a transition from $0$ to $1$ after $\text{CLK}$ changes from $1$ to $0 .$ Assume gate delays to be negligible. Which of the following statements is true? $\text{Q}$ goes to $1$ at the $\text{CLK}$ transition ... $1.$ $\text{Q}$ goes to $0$ at the $\text{CLK}$ transition and goes to $1$ when $\mathrm{D}$ goes to $1.$
For the circuit shown in the figure, $\mathrm{D}$ has a transition from $0$ to $1$ after $\text{CLK}$ changes from $1$ to $0 .$ Assume gate delays to be negligible.Which ...
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2897
GATE ECE 2008 | Question: 62
One end of a loss-less transmission line having the characteristic impedance of $75 \; \Omega$ and length of $1 \mathrm{~cm}$ is short-circuited. At $3 \; \mathrm{GHz}$, the input impedance at the other end of the transmission line is $0$ Resistive Capacitive Inductive
One end of a loss-less transmission line having the characteristic impedance of $75 \; \Omega$ and length of $1 \mathrm{~cm}$ is short-circuited. At $3 \; \mathrm{GHz}$, ...
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2898
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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2899
GATE ECE 2011 | Question: 53
A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional average transmitted signal energy required by the $8$-$\text{PSK}$ signal to achieve the same error probability as ... $11.90 \mathrm{~dB}$ $8.73 \mathrm{~dB}$ $6.79 \mathrm{~dB}$ $5.33 \mathrm{~dB}$
A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional a...
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2900
TIFR ECE 2020 | Question: 14
Two matrices $A$ and $B$ are called similar if there exists an invertible matrix $X$ such that $A=X^{-1} B X$. Let $A$ and $B$ be two similar matrices. Consider the following statements: $\operatorname{det}(x I-A)=\operatorname{det}(x I-B)$ ... statement $2$ is correct Only statements $1$ and $2$ are correct All Statements $1, 2$ and $3$ are correct None of the above
Two matrices $A$ and $B$ are called similar if there exists an invertible matrix $X$ such that $A=X^{-1} B X$. Let $A$ and $B$ be two similar matrices. Consider the follo...
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Nov 30, 2022
Linear Algebra
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TIFR ECE 2019 | Question: 5
Consider the function $f(x)=e^{x^{2}}-8 x^{2}$ for all $x$ on the real line. For how many distinct values of $x$ do we have $f(x)=0?$ $1$ $4$ $2$ $3$ $5$
Consider the function $f(x)=e^{x^{2}}-8 x^{2}$ for all $x$ on the real line. For how many distinct values of $x$ do we have $f(x)=0?$ $1$$4$$2$$3$$5$
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2902
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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GATE ECE 1999 | Question 12
In a certain application, four inputs $A, B, C, D$ (both true and complement forms available) are fed to logic circuit, producing an output $F$ which operates a relay. The relay turns on when $F$ $(\mathrm{ABCD})=1$ for the following states of the ... Minimize $F$ with the help of a Karnaugh map and realize it using a minimum number of $3$ - input $\text{NAND}$ gates.
In a certain application, four inputs $A, B, C, D$ (both true and complement forms available) are fed to logic circuit, producing an output $F$ which operates a relay. Th...
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Sep 29, 2022
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GATE ECE 1999 | Question 13
An $8085$ ... carry and zero flags? the contents of the memory locations $2000$ $\mathrm{H}, 2001 \mathrm{H}, 2002 \mathrm{H}$, and $2100 \mathrm{H}$.
An $8085$ assembly language program is given below$\begin{array}{ll} & \text{ MVIC, 03H } \\ & \text { LXIH, 2000H } \\ \text { LOOP : } & \text { MOV A, M } \\ & \text {...
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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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2906
GATE ECE 2002 | Question: 2.25
A person with a receiver is $5 \; \mathrm{Km}$ away from the transmitter. What is the distance that this person must move further to detect a $3-d B$ decrease in signal strength? $942 \mathrm{~m}$ $2070 \mathrm{~m}$ $4978 \mathrm{~m}$ $5320 \mathrm{~m}$
A person with a receiver is $5 \; \mathrm{Km}$ away from the transmitter. What is the distance that this person must move further to detect a $3-d B$ decrease in signal s...
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Sep 27, 2022
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GATE ECE 2002 | Question: 6
A triangular voltage waveform $V_{i}(t)$ first figure applied at the input to the circuit of second figure. Assume the diodes to be ideal. Determine the output $\mathrm{V}_{0}(t)$. Neatly sketch the output waveform superimposed on the input $V_{i}(t)$ and label the key points.
A triangular voltage waveform $V_{i}(t)$ first figure applied at the input to the circuit of second figure. Assume the diodes to be ideal. Determine the output $\mathrm{V...
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GATE ECE 2002 | Question: 14
The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.
The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.
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2909
GATE ECE 1998 | Question 2.11
The figure is shows a mod- $\mathrm{K}$ counter, here $\mathrm{K}$ is equal to $1$ $2$ $3$ $4$
The figure is shows a mod- $\mathrm{K}$ counter, here $\mathrm{K}$ is equal to$1$$2$$3$$4$
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2910
GATE ECE 1998 | Question 2.12
The current $I$ through resistance $\mathrm{r}$ in the circuit shown in the figure is $\frac{-\mathrm{V}}{12 \mathrm{R}}$ $\frac{\mathrm{V}}{12 \mathrm{R}}$ $\frac{\text{V}}{6 \text{R}}$ $\frac{\mathrm{V}}{3 \mathrm{~T}}$
The current $I$ through resistance $\mathrm{r}$ in the circuit shown in the figure is $\frac{-\mathrm{V}}{12 \mathrm{R}}$$\frac{\mathrm{V}}{12 \mathrm{R}}$$\frac{\text{V}...
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2911
GATE ECE 1998 | Question 2.31
The time averages Poynting vector, in $W / m^{2}$, for a wave with $\vec{E}=24 \; e^{} \; a_{} \mathrm{~V} / \mathrm{m}$ in free space is $ – \frac{2.4}{\pi} \vec{a}_{z}$ $\frac{2.4}{\pi} \vec{a}_{z}$ $\frac{4.8}{\pi} \vec{a}_{z}$ $-\frac{4.8}{\pi} \vec{a}_{z}$
The time averages Poynting vector, in $W / m^{2}$, for a wave with $\vec{E}=24 \; e^{} \; a_{} \mathrm{~V} / \mathrm{m}$ in free space is$ – \frac{2.4}{\pi} \vec{a}_{z}...
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GATE ECE 1998 | Question 6
Given an irrotational vector field $\overrightarrow{\mathrm{F}}=(k 1 x y+k 2) \vec{a}_{x}+\left(3 x 2-k 3 Z) \vec{a}_{y}+(3 x z 2-y) \vec{a}_{z}\right.$ Find $V . \vec{F}$ at $(1,1,-2)$.
Given an irrotational vector field$\overrightarrow{\mathrm{F}}=(k 1 x y+k 2) \vec{a}_{x}+\left(3 x 2-k 3 Z) \vec{a}_{y}+(3 x z 2-y) \vec{a}_{z}\right.$Find $V . \vec{F}$ ...
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GATE ECE 1998 | Question 12
Find the value of $R^{\prime}$ in the circuit of the figure is for generating sinusoidal oscillations. Find the frequency of oscillations.
Find the value of $R^{\prime}$ in the circuit of the figure is for generating sinusoidal oscillations. Find the frequency of oscillations.
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2914
GATE ECE 1998 | Question 15
The $\text{mod}-5$ counter shown in the figure is counts through states $Q_{2} Q_{1} Q_{0}=000,001,010,011$ and $100$ (a) Will the counter lockout if it happen to be in any one of the unused states? (b) Find the maximum rate at ... counter will operate satisfactorily. Assume the propagation delays of fliplop and $\text{AND}$ gate to be $t_{F}$ and $t_{A}$ respectively.
The $\text{mod}-5$ counter shown in the figure is counts through states $Q_{2} Q_{1} Q_{0}=000,001,010,011$ and $100$(a) Will the counter lockout if it happen to be in an...
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2915
GATE ECE 1998 | Question 17
Write a short assembly language program, without using any arithmetic instruction, to store hexadecimal $5D$ in the flag register of $8085$ microprocessor. Data in other registers of the processor must not alter upon executing this program.
Write a short assembly language program, without using any arithmetic instruction, to store hexadecimal $5D$ in the flag register of $8085$ microprocessor. Data in other ...
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GATE ECE 1998 | Question 18
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
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2917
GATE ECE 2003 | Question: 47
The oscillator circuit shown in the figure is has an ideal inverting amplifier. Its frequency of oscillation (in $\mathrm{Hz}$ ) is $\frac{1}{(2 \pi \sqrt{6} \mathrm{RC})}$ $\frac{1}{(2 \pi \mathrm{RC})}$ $\frac{1}{(\sqrt{6} \mathrm{RC})}$ $\frac{1}{\sqrt{6}(2 \pi \mathrm{RC})}$
The oscillator circuit shown in the figure is has an ideal inverting amplifier. Its frequency of oscillation (in $\mathrm{Hz}$ ) is$\frac{1}{(2 \pi \sqrt{6} \mathrm{RC})}...
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2918
GATE ECE 2003 | Question: 59
In the circuit shown in the figure $\mathrm{A}$ is a parallel-in, parallel-out $4$ bit register, which loads at the rising edge of the clock $C$. The input lines are connected to a $4$ bit bus, $W.$ Its output acts as the input to a $16 \times 4$ ROM whose output ... $W$ bus at time $t_{1}$ is $0110.$ The data on the bus at time $t_{2}$ is $1111$ $1011$ $1000$ $0010$
In the circuit shown in the figure $\mathrm{A}$ is a parallel-in, parallel-out $4$ bit register, which loads at the rising edge of the clock $C$. The input lines are conn...
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2919
GATE ECE 2003 | Question: 84
Medium $1$ has the electrical permittivity $\varepsilon_{1}=1.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region to the left of $x=0$ plane. Medium $2$ has the electrical permittivity $\varepsilon_{2}=2.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region ... $/ \mathrm{m}$ $\left(1.2 u_{x}-2.0 u_{y}+0.6 u_{z}\right)$ volt $/ \mathrm{m}$
Medium $1$ has the electrical permittivity $\varepsilon_{1}=1.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region to the left of $x=0$ plane. Medium $2$ has t...
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GATE ECE 2003 | Question: 89
A rectangular metal wave guide filled with a dielectric material of relative permittivity $\varepsilon_{r}=4$ has the inside dimensions $3.0 \mathrm{~cm} \times 1.2 \mathrm{~cm}$. The cut-off frequency for the dominant mode is $2.5 \; \mathrm{GHz}$ $5.0 \; \mathrm{GHz}$ $10.0 \; \mathrm{GHz}$ $12.5 \; \mathrm{GHz}$
A rectangular metal wave guide filled with a dielectric material of relative permittivity $\varepsilon_{r}=4$ has the inside dimensions $3.0 \mathrm{~cm} \times 1.2 \math...
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