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201
GATE ECE 1994 | Question 2.16
A ring oscillator consisting of $5$ inverters is running at a frequency of $1.0 \; \mathrm{MHz}$. The propagation delay per gate is_________ $n \; \mathrm{sec}$.
A ring oscillator consisting of $5$ inverters is running at a frequency of $1.0 \; \mathrm{MHz}$. The propagation delay per gate is_________ $n \; \mathrm{sec}$.
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202
GATE ECE 1992 | Question 1.1
Relative to a given fixed tree of a network, Link currents form an independent set Branch voltage form an independent set Link currents form an independent set Branch voltage form an independent set
Relative to a given fixed tree of a network,Link currents form an independent setBranch voltage form an independent setLink currents form an independent setBranch voltage...
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203
GATE ECE 2004 | Question: 1
Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?
Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?
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204
GATE ECE 2006 | Question: 36
A negative resistance $R_{\text {neg }}$ is connected to a passive network $N$ having driving point impedance $Z_{1}$ (s) as shown below. For $Z_{2}(s)$ ... $\left|\text{R}_{\text {neg }}\right| \leq \angle Z_{1}(j \omega), \forall \omega$
A negative resistance $R_{\text {neg }}$ is connected to a passive network $N$ having driving point impedance $Z_{1}$ (s) as shown below. For $Z_{2}(s)$ to be positive re...
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206
GATE ECE 2000 | Question 1.12
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants $\mathrm{A} e^{-\mathrm{B}|f|}$ $\mathrm{A} e^{-\mathrm{B} f}$ $\mathrm{A}+\mathrm{B}|f|^{2}$ $\mathrm{A} e^{-B f}$
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants$\mathrm{A} e^{-\mathrm{B}|f|}$$\mathrm...
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207
GATE ECE 2000 | Question 1.19
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is $1,0,1$ $0,0,1$ $1,1,1$ $0,1,1$
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is$1,0,1$$0,0,1$$1,1,1$$0,1,1$
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208
GATE ECE 2003 | Question: 13
If the input to the ideal comparator shown in the figure is a sinusoidal signal of $8 \mathrm{~V}$ (peak to peak) without any DC component, then the output of the comparator has a duty cycle of $1 / 2$ $1 / 3$ $1 / 6$ $1 / 12$
If the input to the ideal comparator shown in the figure is a sinusoidal signal of $8 \mathrm{~V}$ (peak to peak) without any DC component, then the output of the compara...
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210
GATE ECE 2021 | Question: 50
Consider a superheterodyne receiver tuned to $600 \text{ kHz}$. If the local oscillator feeds a $1000 \text{ kHz}$ signal to the mixer, the image frequency (in integer) is ____________________ $\text{kHz}$.
Consider a superheterodyne receiver tuned to $600 \text{ kHz}$. If the local oscillator feeds a $1000 \text{ kHz}$ signal to the mixer, the image frequency (in integer) i...
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211
GATE ECE 1994 | Question 2.5
The open loop frequency response of a system at two particular frequencies are given by : $1.2 \; \angle \; 180^{\circ}$ and $1.0 \; \angle \; -190^{\circ}$. The closed loop unity feed back control is then ___________.
The open loop frequency response of a system at two particular frequencies are given by : $1.2 \; \angle \; 180^{\circ}$ and $1.0 \; \angle \; -190^{\circ}$.The closed lo...
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212
GATE ECE 1997 | Question 3.7
The power spectral density of a deterministic signal is given by $\left[\sin (f) / f^{2}\right]$ where $f$ is frequency. The autocorrelation function of this signal in the time domain is a rectangular pulse a delta function a sine pulse a triangular pulse
The power spectral density of a deterministic signal is given by $\left[\sin (f) / f^{2}\right]$ where $f$ is frequency. The autocorrelation function of this signal in th...
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213
GATE ECE 2004 | Question: 9
An ideal $\text{op-amp}$ is an ideal voltage controlled current source voltage controlled voltage source current controlled current source current controlled voltage source
An ideal $\text{op-amp}$ is an idealvoltage controlled current sourcevoltage controlled voltage sourcecurrent controlled current sourcecurrent controlled voltage source
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214
GATE ECE 2005 | Question: 63
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for $\mathrm{K}<5$ ... $5<\mathrm{K}$. $\text{K}>\frac{1}{8}$ and $\text{K}<5$.
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be st...
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215
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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217
GATE ECE 2004 | Question: 6
The impurity commonly used for realizing the base region of a silicon $n-p-n$ transistor is Gallium Indium Boron Phosphorus
The impurity commonly used for realizing the base region of a silicon $n-p-n$ transistor isGalliumIndiumBoronPhosphorus
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219
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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221
GATE ECE 1997 | Question 1.3
The voltage $\mathrm{V}$ in the figure is always equal to $9 \mathrm{~V}$ $5 \mathrm{~V}$ $1 \mathrm{~V}$ None of the above
The voltage $\mathrm{V}$ in the figure is always equal to$9 \mathrm{~V}$$5 \mathrm{~V}$$1 \mathrm{~V}$None of the above
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222
GATE ECE 1994 | Question 1.1
The Laplace transform of a unit ramp function starting at $t=a$, is $\frac{1}{(s+a)^{2}}$ $\frac{e^{-as}}{(s+a)^{2}}$ $\frac{e^{-as}}{s^{2}}$ $\frac{a}{s^{2}}$
The Laplace transform of a unit ramp function starting at $t=a$, is$\frac{1}{(s+a)^{2}}$$\frac{e^{-as}}{(s+a)^{2}}$$\frac{e^{-as}}{s^{2}}$$\frac{a}{s^{2}}$
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223
GATE ECE 2008 | Question: 12
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the thre...
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224
GATE ECE 2011 | Question: 10
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is $6.4-\mathrm{j} 4.8$ $6.56-\mathrm{j} 7.87$ $10+\mathrm{j} 0$ $16+\mathrm{j} 0$
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is$6.4-\mathrm{j} 4.8$$6.56-\mathrm{j} 7....
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225
GATE ECE 1997 | Question 2.9
The output of the logic gate in the figure is $0$ $1$ $\text{A}$ $\mathrm{F}$
The output of the logic gate in the figure is$0$$1$$\text{A}$$\mathrm{F}$
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226
GATE ECE 2006 | Question: 20
A transmission line is feeding $1 \mathrm{Watt}$ of power to a horn antenna having a gain of $10 \mathrm{~dB}$. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free-space is $10$ Watts $1$ Watt $0.1$ Watt $0.01$ Watt
A transmission line is feeding $1 \mathrm{Watt}$ of power to a horn antenna having a gain of $10 \mathrm{~dB}$. The antenna is matched to the transmission line. The total...
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227
GATE ECE 2005 | Question: 27
Despite the presence of negative feedback, control systems still have problems of instability because the components used have nonlinearities. dynamic equations of the subsystems are not known exactly. mathematical analysis involves approximations. system has large negative phase angle at high frequencies.
Despite the presence of negative feedback, control systems still have problems of instability because thecomponents used have nonlinearities.dynamic equations of the subs...
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228
GATE ECE 1991 | Question 1.8
A second order system has a transfer function given by $ G(s)=\frac{25}{s^2+8 s+25} $ If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$, the second peak in response will occur at $\pi \mathrm{sec}$ $\frac{\pi}{3}$ sec $\frac{2 \pi}{3} \sec$ $\frac{\pi}{2}$ sec
A second order system has a transfer function given by$$ G(s)=\frac{25}{s^2+8 s+25} $$If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$...
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229
GATE ECE 1992 | Question 1.13
An infrared $\text{LED}$ is usually fabricated from $\text{Ge}$ $\mathrm{Si}$ $\text{Ga As}$ $\text{Ga As P.}$
An infrared $\text{LED}$ is usually fabricated from$\text{Ge}$$\mathrm{Si}$$\text{Ga As}$$\text{Ga As P.}$
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231
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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232
GATE ECE 1997 | Question 2.2
A cascade amplifier stage is equivalent to a common emitter stage followed by a common base stage a common base stage followed by an emitter follower an emitter follower stage followed by a common base stage a common base stage followed by a common emitter stage
A cascade amplifier stage is equivalent toa common emitter stage followed by a common base stagea common base stage followed by an emitter followeran emitter follower sta...
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233
GATE ECE 1997 | Question 4.8
In a $\text{J-K}$ flip-flip we have $\text{J=Q}$ and $\text{K}=1$. Assuming the flip flop was initially cleared and then clocked for $6$ puleses, the sequence at the $\text{Q}$ output will be $010000$ $011001$ $010010$ $010101$
In a $\text{J-K}$ flip-flip we have $\text{J=Q}$ and $\text{K}=1$. Assuming the flip flop was initially cleared and then clocked for $6$ puleses, the sequence at the $\te...
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234
GATE ECE 2004 | Question: 17
Figure given below shows the internal schematic of a $\text{TTL AND-OR}$ -Invert $\text{(AOI)}$ gate. For the inputs shown in the given figure, the output $\text{Y}$ is $0$ $1$ $\mathrm{AB}$ $\overline{\mathrm{AB}}$
Figure given below shows the internal schematic of a $\text{TTL AND-OR}$ -Invert $\text{(AOI)}$ gate. For the inputs shown in the given figure, the output $\text{Y}$ is $...
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236
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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237
GATE ECE 2005 | Question: 15
The input resistance $\text{R}_{\mathrm{i}}$ of the amplifier shown in the figure is $\frac{30}{4} \; \mathrm{k} \Omega$ $10 \; \mathrm{k} \Omega$ $40 \; \mathrm{k} \Omega$ infiinte
The input resistance $\text{R}_{\mathrm{i}}$ of the amplifier shown in the figure is$\frac{30}{4} \; \mathrm{k} \Omega$$10 \; \mathrm{k} \Omega$$40 \; \mathrm{k} \Omega$i...
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238
GATE ECE 2021 | Question: 38
In the circuit shown in the figure, the switch is closed at time $t=0$, while the capacitor is initially charged to $-5\:V$ (i.e., $v_{c}(0)=-5V$). The time after which the voltage across the capacitor becomes zero (rounded off to three decimal places) is ________________ $\text{ms}$.
In the circuit shown in the figure, the switch is closed at time $t=0$, while the capacitor is initially charged to $-5\:V$ (i.e., $v_{c}(0)=-5V$).The time after which th...
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239
TIFR ECE 2012 | Question: 3
A sequence of numbers $\left(x_{n}: n=1,2,3, \ldots\right)$ is said to have a limit $x$, if given any number $\epsilon>0$, there exists an integer $n_{\epsilon}$ ... $6$ and has a limit that equals $6$ . None of the above statements are true.
A sequence of numbers $\left(x_{n}: n=1,2,3, \ldots\right)$ is said to have a limit $x$, if given any number $\epsilon>0$, there exists an integer $n_{\epsilon}$ such tha...
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240
GATE ECE 2006 | Question: 30
A two-port network is represented by $\text{ABCD}$ ... $\frac{\mathrm{B}+\mathrm{AR}_{\mathrm{L}}}{\mathrm{D}+\mathrm{CR}_{\mathrm{L}}}$
A two-port network is represented by $\text{ABCD}$ parameters given by$$ \left[\begin{array}{c} \mathrm{V}_1 \\ \mathrm{I}_1 \end{array}\right]=\left[\begin{array}{ll} \m...
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