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Recent questions tagged gate1991-ec

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GATE ECE 1991 | Question 1.1
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system is non-causal system stable system causal system unstable system
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system isnon-causal systemstable systemcausal systemuns...
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GATE ECE 1991 | Question 1.2
In a series RLC high $Q$ circuit, the current peaks at a frequency equal to the resonant frequency greater than the resonant frequency less than the resonant frequency none of the above
In a series RLC high $Q$ circuit, the current peaks at a frequencyequal to the resonant frequencygreater than the resonant frequencyless than the resonant frequencynone o...
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GATE ECE 1991 | Question 1.4
Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplying the individual $z$-parameter matrix $h$-parameter matrix $y$-parameter matrix $\text{ABCD}$ parameter matrix
Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplyi...
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GATE ECE 1991 | Question 1.5
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type. low pass high pass all pass band pass
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type.low passhigh passall passband pass
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GATE ECE 1991 | Question 1.7
In the signal flow graph of Figure, the gain $c / r$ will be $\frac{11}{9}$ $\frac{22}{15}$ $\frac{24}{23}$ $\frac{44}{23}$
In the signal flow graph of Figure, the gain $c / r$ will be$\frac{11}{9}$$\frac{22}{15}$$\frac{24}{23}$$\frac{44}{23}$
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GATE ECE 1991 | Question 1.8
A second order system has a transfer function given by $ G(s)=\frac{25}{s^2+8 s+25} $ If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$, the second peak in response will occur at $\pi \mathrm{sec}$ $\frac{\pi}{3}$ sec $\frac{2 \pi}{3} \sec$ $\frac{\pi}{2}$ sec
A second order system has a transfer function given by$$ G(s)=\frac{25}{s^2+8 s+25} $$If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$...
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GATE ECE 1991 | Question 1.9
The open loop transfer function of a feedback control system is: $ G(s) H(s)=\frac{1}{(s+1)^3} $ The gain margin of the system is: $2$ $4$ $8$ $16$
The open loop transfer function of a feedback control system is:$$ G(s) H(s)=\frac{1}{(s+1)^3} $$The gain margin of the system is:$2$$4$$8$$16$
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GATE ECE 1991 | Question 1.10
A unity feedback control system has the open loop transfer function $ G(s)=\frac{4(1+2 s)}{s^2(s+2)} $ If the input to the system is a unit ramp, the steady state error will be $0$ $0.5$ $2$ $\textsf{infinity}$
A unity feedback control system has the open loop transfer function$$ G(s)=\frac{4(1+2 s)}{s^2(s+2)} $$If the input to the system is a unit ramp, the steady state error w...
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GATE ECE 1991 | Question 1.12
A linear second order single input continuous time system is described by the following set of differential equations ... and $u(t)$ is the control variable. The system is: controllable and stable controllable but unstable uncontrollable and unstable uncontrollable and stable
A linear second order single input continuous time system is described by the following set of differential equations$$ \begin{aligned} &x_1(t)=-2 x_1(t)+4 x_2(t) \\ &x_2...
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GATE ECE 1991 | Question 1.14
A silicon sample is uniformly doped with $10^{16}$ phosphorous atoms $/ \mathrm{cm}^3$ and $2 \times 10^{16}$ boron atoms $/ \mathrm{cm}^3$. If all the dopants are fully ionized, the material is $\mathrm{n}$ ... $2 \times 10^{16} / \mathrm{cm}^3$ $T_2$ will get damaged and $T_1$ will be safe
A silicon sample is uniformly doped with $10^{16}$ phosphorous atoms $/ \mathrm{cm}^3$ and $2 \times 10^{16}$ boron atoms $/ \mathrm{cm}^3$. If all the dopants are fully ...
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GATE ECE 1991 | Question 1.15
An $n$-type silicon sample, having electron mobility $\mu_n=$ twice the hole mobility $\mu_p$, is subjected to a steady illumination such that the electron concentration doubles from its thermal equilibrium value. As a result, the conductivity of the sample increases by a factor of ...
An $n$-type silicon sample, having electron mobility $\mu_n=$ twice the hole mobility $\mu_p$, is subjected to a steady illumination such that the electron concentration ...
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GATE ECE 1991 | Question 1.16
The small signal capacitances of an abrupt $P_1-n$ junction is $1 \mathrm{nF} / \mathrm{Cm}^2$ at zero bias. If the built in voltage is $1$ volt, the capacitance at a reverse bias voltage of $99$ volts is equal to $\ldots$
The small signal capacitances of an abrupt $P_1-n$ junction is $1 \mathrm{nF} / \mathrm{Cm}^2$ at zero bias. If the built in voltage is $1$ volt, the capacitance at a rev...
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GATE ECE 1991 | Question 1.19
The built-in potential of the gate junction of a $n$-channel $\text{JFET}$ is $0.5$ volts. The drain current saturates at $V_{D S}=4.0$ volts when $V_{G S}=0$. The pinch off voltage is _________.
The built-in potential of the gate junction of a $n$-channel $\text{JFET}$ is $0.5$ volts. The drain current saturates at $V_{D S}=4.0$ volts when $V_{G S}=0$. The pinch ...
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GATE ECE 1991 | Question 1.20
In figure, all transistors are identical and have a high value of beta. The voltage $V_{D C}$ is equal to _________.
In figure, all transistors are identical and have a high value of beta. The voltage $V_{D C}$ is equal to_________.
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GATE ECE 1991 | Question 1.21
In figure, both transistors are identical and have a high value of beta. Take the $dc$ base-emitter voltage drop as $0.7$ volt and $\mathrm{KT} / \mathrm{q}=25 \; \mathrm{mV}$. The small signal low frequency voltage gain $\left(V_o / V_i\right)$ is equal to__________.
In figure, both transistors are identical and have a high value of beta. Take the $dc$ base-emitter voltage drop as $0.7$ volt and $\mathrm{KT} / \mathrm{q}=25 \; \mathrm...
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GATE ECE 1991 | Question 1.22
In figure the input $V_1$ is a $100 \mathrm{~Hz}$ triangular wave having a peak to peak amplitude of 2 volts and an average value of zero volts. Given that the diode is ideal, the average value of the output $V_0$ is ___________.
In figure the input $V_1$ is a $100 \mathrm{~Hz}$ triangular wave having a peak to peak amplitude of 2 volts and an average value of zero volts. Given that the diode is i...
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GATE ECE 1991 | Question 1.24
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
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GATE ECE 1991 | Question 1.25
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity gain amplifier, the amplifier with gain twenty has less negative feedback greater input impedance less bandwidth none of the above
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity ga...
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GATE ECE 1991 | Question 1.26
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
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GATE ECE 1991 | Question 1.27
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
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GATE ECE 1991 | Question 1.28
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
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GATE ECE 1991 | Question 1.29
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
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GATE ECE 1991 | Question 1.30
A bit stored in a $\text{FAMOS}$ device can be erased by _____________.
A bit stored in a $\text{FAMOS}$ device can be erased by _____________.
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GATE ECE 1991 | Question 1.31
A signal has frequency components from $300 \mathrm{~Hz}$ to $1.8 \; \mathrm{KHz}$. The minimum possible rate at which the signal has to be sampled is ___________.
A signal has frequency components from $300 \mathrm{~Hz}$ to $1.8 \; \mathrm{KHz}$. The minimum possible rate at which the signal has to be sampled is ___________.
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GATE ECE 1991 | Question 1.33
For the signal constellation shown in figure below, the type of modulation is ___________.
For the signal constellation shown in figure below, the type of modulation is ___________.
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GATE ECE 1991 | Question 1.34
Two resistors $R_1$ and $R_2$ (in ohms) at temperatures $T_1$ and $T_2 K$ respectively, are connected in series. Their equivalent noise temperatures is ___________ $K$.
Two resistors $R_1$ and $R_2$ (in ohms) at temperatures $T_1$ and $T_2 K$ respectively, are connected in series. Their equivalent noise temperatures is ___________ $K$.
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GATE ECE 1991 | Question 1.35
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length are (a) lower _________. (b) higher ________.
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length ...
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GATE ECE 1991 | Question 1.36
In a reflex Klystron oscillator the maximum possible efficiency is $58 \%$ the frequency of oscillation varies linearly with the reflector voltage the power output varies continuously with reflector voltage the power output is maximum at fixed frequency.
In a reflex Klystron oscillatorthe maximum possible efficiency is $58 \%$the frequency of oscillation varies linearly with the reflector voltagethe power output varies co...
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GATE ECE 1991 | Question 1.37
The input impedance of a short-circuited lossless transmission line quarter wave length is purely reactive purely resistive infinite dependent on the characteristic impedance of the line.
The input impedance of a short-circuited lossless transmission line quarter wave length ispurely reactivepurely resistiveinfinitedependent on the characteristic impedance...
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GATE ECE 1991 | Question 1.38
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation. $\frac{\partial^2 E_y}{\partial y^2}=\mu \in \frac{\partial^2 E_y}{\partial t^2}$ ... $\frac{\sqrt{E_x^2+E_z^2}}{\sqrt{H_x^2+H_z^2}}=\sqrt{\frac{\mu}{\epsilon}}$
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation.$\frac{\partial^2 E_y...
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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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GATE ECE 1991 | Question 9
The four variable function $\mathrm{f}$ is given in terms of min-terms as: $ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $ Using the $K$-map minimize the function in the sum of products form. Also, given the realization using only two-input $\text{NAND}$ gates.
The four variable function $\mathrm{f}$ is given in terms of min-terms as:$$ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $$Using the $K$-map minimize the function in the...
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