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1161
GATE ECE 1996 | Question 1.3
The number of independent loops for a network with $n$ nodes and $b$ branches is $n-1$ $b-n$ $b-n+1$ independent of the number of nodes
The number of independent loops for a network with $n$ nodes and $b$ branches is$n-1$$b-n$$b-n+1$independent of the number of nodes
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1162
GATE ECE 1996 | Question 1.4
A lossless transmission line having $50 \; \Omega$ charateristic impedance and lengh $\lambda / 4$ is short circuited at one end and connected to an ideal voltage source of $1 \mathrm{~V}$ at the other end. The current drawn from the voltage source is $0$ $0.02 \mathrm{~A}$ $\infty$ none of these
A lossless transmission line having $50 \; \Omega$ charateristic impedance and lengh $\lambda / 4$ is short circuited at one end and connected to an ideal voltage source ...
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1163
GATE ECE 1996 | Question 1.5
The $p$ – type substrate in a conventional $p n$ – junction isolated integrated circuit should be connected to nowhere, i.e. left floating a $dc$ ground potential the most positive potential available in the circuit the most negative potential available in the circuit
The $p$ – type substrate in a conventional $p n$ – junction isolated integrated circuit should be connected tonowhere, i.e. left floatinga $dc$ ground potentialthe mo...
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1164
GATE ECE 1996 | Question 1.6
If a transistor is operating with both of its junctions forward biased, but with the collector base forward bias greater than the emitter-base forward bias, then it is operating in the forward active mode reverse saturation mode reverse active mode forward saturation mode
If a transistor is operating with both of its junctions forward biased, but with the collector base forward bias greater than the emitter-base forward bias, then it is op...
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1167
GATE ECE 1996 | Question 1.9
The circuit shown in the figure is that of a non-inverting amplifier an inverting amplifier an oscillator a Schmitt Trigger
The circuit shown in the figure is that ofa non-inverting amplifieran inverting amplifieran oscillatora Schmitt Trigger
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1168
GATE ECE 1996 | Question 1.10
Schottky clamping is resorted in $\text{TTL}$ gates to reduce propagation delay to increase noise margins to increase packing density to increase fan-out
Schottky clamping is resorted in $\text{TTL}$ gatesto reduce propagation delayto increase noise marginsto increase packing densityto increase fan-out
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1169
GATE ECE 1996 | Question 1.11
A pulse train can be delayed by a finite number of clock periods using a serial-in serial-out shift register a serial-in parallel-out shift register a parallel-in serial-out shift register a paralel-in parallel-out shift register
A pulse train can be delayed by a finite number of clock periods usinga serial-in serial-out shift registera serial-in parallel-out shift registera parallel-in serial-out...
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1170
GATE ECE 1996 | Question 1.12
A $12$ – bit $\text{ADC}$ is operating with a $1 \; \mu \; \mathrm{sec}$ clock period and the total conversion time is seen to be $14 \; \mu \;\mathrm{sec}$. The $\text{ADC}$ must be of the Flash type counting type integrating type successive approximation type
A $12$ – bit $\text{ADC}$ is operating with a $1 \; \mu \; \mathrm{sec}$ clock period and the total conversion time is seen to be $14 \; \mu \;\mathrm{sec}$. The $\text...
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1171
GATE ECE 1996 | Question 1.13
The total number of memory accesses involved (inclusive of the $op$ – code fetch) when an $8085$ processor executes the instruction $\text{LDA}$ $2003$ is $1$ $2$ $3$ $4$
The total number of memory accesses involved (inclusive of the $op$ – code fetch) when an $8085$ processor executes the instruction $\text{LDA}$ $2003$ is$1$$2$$3$$4$
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1172
GATE ECE 1996 | Question 1.14
The trigonometric Fourier series of an even function of time does not have the $d c$ term cosine terms sine terms odd harmonic terms
The trigonometric Fourier series of an even function of time does not have the$d c$ termcosine termssine termsodd harmonic terms
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1173
GATE ECE 1996 | Question 1.15
The Fourier transform of a real-valued time signal has odd symmetry even symmetry conjugate symmetry no symmetry
The Fourier transform of a real-valued time signal hasodd symmetryeven symmetryconjugate symmetryno symmetry
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1174
GATE ECE 1996 | Question 1.16
A rectangular pulse of duration $T$ is applied to a filter matched to this input. The output of the filter is a rectangular pulse of duration $T$ rectangular pulse of duration $2 \mathrm{~T}$ triangular pulse sine function
A rectangular pulse of duration $T$ is applied to a filter matched to this input. The output of the filter is arectangular pulse of duration $T$rectangular pulse of durat...
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1175
GATE ECE 1996 | Question 1.17
The image channel rejection in a superheterodyne receiver comes from $\text{IF}$ stages only $\text{RF}$ stages only detector and $\text{RF}$ stages only detector $\text{RF}$, and $\text{IF}$ stages
The image channel rejection in a superheterodyne receiver comes from$\text{IF}$ stages only$\text{RF}$ stages onlydetector and $\text{RF}$ stages onlydetector $\text{RF}$...
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1176
GATE ECE 1996 | Question 1.18
The capacitance per unit length and the characteristic impedance of a lossless transmission line are $\mathrm{C}$ and $\mathrm{Zo}$ respectively. The velocity of a travelling wave on the transmission line $Z_{0} C$ $\frac{1}{\mathrm{Z}_{\mathrm{o}} \mathrm{C}}$ $\frac{Z_{0}}{C}$ $\frac{\mathrm{C}}{\mathrm{Z}_{0}}$
The capacitance per unit length and the characteristic impedance of a lossless transmission line are $\mathrm{C}$ and $\mathrm{Zo}$ respectively. The velocity of a travel...
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1177
GATE ECE 1996 | Question 1.19
A transverse electromagnetic wave with circular polarisation is received by a dipole antenna. Due to polarisation mismatch, the power transfer efficiency from the wave to the antenna is reduced to about $50 \%$ $35.3 \%$ $25 \%$ $0 \%$
A transverse electromagnetic wave with circular polarisation is received by a dipole antenna. Due to polarisation mismatch, the power transfer efficiency from the wave to...
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1178
GATE ECE 1996 | Question 1.20
A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total outward electric displacement normal to the surface of the cube is $40 \pi$ Coulombs $10 \pi$ Coulombs $5 \pi$ Couloms None of these
A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total out...
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1180
GATE ECE 1996 | Question 2.2
The inverse Laplace transform of the function $\frac{s+5}{(s+1)(s+3)}$ is $2 e^{-t}-e^{-3 t}$ $2 e^{-t}+e^{-3 t}$ $e^{-t}-2 e^{-3 t}$ $e^{-t}+e^{-3 t}$
The inverse Laplace transform of the function$\frac{s+5}{(s+1)(s+3)}$ is$2 e^{-t}-e^{-3 t}$$2 e^{-t}+e^{-3 t}$$e^{-t}-2 e^{-3 t}$$e^{-t}+e^{-3 t}$
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1182
GATE ECE 1996 | Question 2.4
A uniform plane wave in air is normally incident on infinitely thick slab. If the refractive index of the glass slab is $1.5$, then the percentage of incident power that is reflected from the air-glass interface is $0 \%$ $4 \%$ $20 \%$ $100 \%$
A uniform plane wave in air is normally incident on infinitely thick slab. If the refractive index of the glass slab is $1.5$, then the percentage of incident power that ...
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1183
GATE ECE 1996 | Question 2.5
In a bipolar transistor at room temperature, if the emitter current is doubled the voltage across its base-emitter junction doubles halves increases by about $20 \; \mathrm{mV}$ decreases by about $20 \; \mathrm{mV}$
In a bipolar transistor at room temperature, if the emitter current is doubled the voltage across its base-emitter junctiondoubleshalvesincreases by about $20 \; \mathrm{...
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1186
GATE ECE 1996 | Question 2.8
A Darlington stage is shown in the figure is. If the transconductance of $Q_{1}$ is $g_{m 1}$ and $Q_{2}$ is $g_{m 2}$, then the overall transconductance $g_{m c}\left[\triangleq \frac{i_{c}^{c}}{v_{b c}^{c}}\right]$ is given by $g_{m 1}$ $0.5 \; g_{\text {m } 1}$ $g_{m 2}$ $0.5 \; g_{m 2}$
A Darlington stage is shown in the figure is. If the transconductance of $Q_{1}$ is $g_{m 1}$ and $Q_{2}$ is $g_{m 2}$, then the overall transconductance $g_{m c}\left[\t...
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1187
GATE ECE 1996 | Question 2.9
Value of $R$ in the oscillator circuit shown in the given figure, so chosen that it just oscillates at an angular frequency of $\omega$. The value of $\omega$ and the required value of $R$ ... $10^{5} \; \mathrm{rad} / \mathrm{sec}, 10^{5} \; \Omega$
Value of $R$ in the oscillator circuit shown in the given figure, so chosen that it just oscillates at an angular frequency of $\omega$. The value of $\omega$ and the req...
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1190
GATE ECE 1996 | Question 2.12
A $10$ - bit $\text{ADC}$ with a full scale output voltage of $10.24 \mathrm{~V}$ is designed to have $\mathrm{a} \pm \mathrm{LSB} / 2$ accuracy. If the $\mathrm{ADC}$ is calibrated at $25^{\circ} \mathrm{C}$ ... $\pm 800 \; \mu \; \mathrm{V} /{ }^{\circ} \mathrm{C}$
A $10$ - bit $\text{ADC}$ with a full scale output voltage of $10.24 \mathrm{~V}$ is designed to have $\mathrm{a} \pm \mathrm{LSB} / 2$ accuracy. If the $\mathrm{ADC}$ is...
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1191
GATE ECE 1996 | Question 2.13
A memory system of size $26 \mathrm{~K}$ bytes is required to be designed using memory chips which have $12$ address lines and $4$ data lines each. The number of such chips required to design the memory system is $2$ $4$ $8$ $16$
A memory system of size $26 \mathrm{~K}$ bytes is required to be designed using memory chips which have $12$ address lines and $4$ data lines each. The number of such chi...
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1192
GATE ECE 1996 | Question 2.14
The following sequence of instructions are executed by an $8085$ microprocessor: $\begin{matrix} 1000 &LXI & SP &27 \; FF \\ 1000 &CALL & & 1006\\ 1006 &POP \; H & & \end{matrix}$ ... $\mathrm{SP}=27 \; \mathrm{FF}, \mathrm{HL}=1006$ $\mathrm{SP}=27 \; \mathrm{FD}, \mathrm{HL}=1006$
The following sequence of instructions are executed by an $8085$ microprocessor:$\begin{matrix}1000 &LXI & SP &27 \; FF \\ 1000 &CALL & & 1006\\ 1006 &POP \; H & & \...
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1193
GATE ECE 1996 | Question 2.15
The number of bits in a binary $\mathrm{PCM}$ system is increased from $n$ to $n+1$. As a result, the signal to quantization noise ratio will improve by a factor $\frac{n+1}{n}$ $2^{(n+1) / n}$ $2^{2(n+1) / n}$ which is independent of $n$
The number of bits in a binary $\mathrm{PCM}$ system is increased from $n$ to $n+1$. As a result, the signal to quantization noise ratio will improve by a factor$\frac{n+...
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1194
GATE ECE 1996 | Question 2.16
The autocorrelation function of an energy signal has no symmetry conjugate symmetry odd symmetry even symmetry
The autocorrelation function of an energy signal hasno symmetryconjugate symmetryodd symmetryeven symmetry
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1195
GATE ECE 1996 | Question 2.17
An $\text{FM}$ signal with a modulation index $9$ is applied to a frequency tripler. The modulation index in the output signal will be $0$ $3$ $9$ $27$
An $\text{FM}$ signal with a modulation index $9$ is applied to a frequency tripler. The modulation index in the output signal will be$0$$3$$9$$27$
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1196
GATE ECE 1996 | Question 2.18
The critical frequency of an ionospheric layer is $10 \; \mathrm{MHz}$. What is the maximum launching angle from the horizon for which $20 \; \mathrm{MHz}$ wave will be reflected by the layer? $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
The critical frequency of an ionospheric layer is $10 \; \mathrm{MHz}$. What is the maximum launching angle from the horizon for which $20 \; \mathrm{MHz}$ wave will be r...
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1198
GATE ECE 1996 | Question 2.20
Some unknown material has a conductivity of $10^{6} \; \mathrm{mho} / \mathrm{m}$ and a permeability of $4 \pi \times 10^{-7} \; \mathrm{H} / \mathrm{m}$. The skin depth for the material at $1 \; \mathrm{GHz}$ is $15.9 \; \mu \mathrm{m}$ $20.9 \; \mu \mathrm{m}$ $25.9 \; \mu \mathrm{m}$ $30.9 \; \mu \mathrm{m}$
Some unknown material has a conductivity of $10^{6} \; \mathrm{mho} / \mathrm{m}$ and a permeability of $4 \pi \times 10^{-7} \; \mathrm{H} / \mathrm{m}$. The skin depth ...
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1200
GATE ECE 1996 | Question 3.2
(a) Cascade amplifier (b) Differential (c) Darlington pair does not provide current gain is a wideband amplifier amplifier has very low input common-emitter impedance and very amplifier high current gain has very high input impedance and very high current gain provides high common mode voltage rejection
(a) Cascade amplifier(b) Differential(c) Darlington pairdoes not provide current gainis a wideband amplifier amplifierhas very low input common-emitter impedance and very...
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