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Recent questions tagged gate2017-in

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1
GATE2017: 31
A series $R-L-C$ circuit is excited with an a.c. voltage source. The quality factor $(Q)$ of the circuit is given as $Q=30$. The amplitude of current in $\text{ampere}$ at upper half-power frequency will be _________.
A series $R-L-C$ circuit is excited with an a.c. voltage source. The quality factor $(Q)$ of the circuit is given as $Q=30$. The amplitude of current in $\text{ampere}$ a...
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2
GATE2017: 32
In the circuit diagram, shown in the figure, $S_1$ was closed and $S_2$ was open for a very long time. At $t=0,\;S_1$ is opened and $S_2$ is closed. The voltage across the capacitor, in volt, at $t=5\mu s$ is _________.
In the circuit diagram, shown in the figure, $S_1$ was closed and $S_2$ was open for a very long time. At $t=0,\;S_1$ is opened and $S_2$ is closed. The voltage across th...
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3
GATE2017: 33
Consider two discrete-time signals: $x_1(n)$={1,1} and $x_2(n)$={1,2} , for $n=0,1$. The Z-transform of the convoluted sequence $x(n)=x_1(n)^*x_2(n)$ is $1+2z^{-1}+3z^{-2}$ $z^2+3z+2$ $1+3z^{-1}+2z^{-2}$ $z^{-2}+3z^{-3}+2z^{-4}$
Consider two discrete-time signals:$x_1(n)$={1,1} and $x_2(n)$={1,2} , for $n=0,1$.The Z-transform of the convoluted sequence $x(n)=x_1(n)^*x_2(n)$ is$1+2z^{-1}+3z^{-2}$$...
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4
GATE2017: 34
Three $DFT$ coefficients, out of five $DFT$ coefficients of a five-point reall sequence are given as: $X(0)=4$, $X(1)=1-j1$ and $X(3)=2+j2$. The zeroth value of the sequence $x(n), \;x(0)$,is $1$ $2$ $3$ $4$
Three $DFT$ coefficients, out of five $DFT$ coefficients of a five-point reall sequence are given as: $X(0)=4$, $X(1)=1-j1$ and $X(3)=2+j2$. The zeroth value of the seque...
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5
GATE2017: 35
The Laplace transform of a casual signal $y(t)$ is $Y(s)$ = $\frac{s+2}{s+6}$. The value of the signal $y(t)$ at $t $ = $0.1\:s$ is_____________ unit.
The Laplace transform of a casual signal $y(t)$ is $Y(s)$ = $\frac{s+2}{s+6}$. The value of the signal $y(t)$ at $t $ = $0.1\:s$ is_____________ unit.
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7
GATE2017: 37
The loop transfer function of a closed-loop system is given by $G(s)H(s)=\frac{K(s+6)}{s(s+2)}$. The breakaway point of the root-loci will be ___________.
The loop transfer function of a closed-loop system is given by $G(s)H(s)=\frac{K(s+6)}{s(s+2)}$. The breakaway point of the root-loci will be ___________.
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8
GATE2017: 38
A closed-loop system is shown in the figure. The system parameter $\alpha$ is not known. The condition for asymptotic stability of the closed loop system is $\alpha<-0.5$ $-0.5<\alpha<0.5$ $0<\alpha<0.5$ $\alpha>0.5$
A closed-loop system is shown in the figure. The system parameter $\alpha$ is not known. The condition for asymptotic stability of the closed loop system is $\alpha<-0.5$...
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10
GATE2017: 40
Assuming the opamp shown in the figure to be ideal, the frequency at which the magnitude of $V_\circ$ will be $95\%$ of the magnitude of $V_{in}$ is ______________$kHz$.
Assuming the opamp shown in the figure to be ideal, the frequency at which the magnitude of $V_\circ$ will be $95\%$ of the magnitude of $V_{in}$ is ______________$kHz$.
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11
GATE2017: 41
In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by $I_D=\frac{1}{2}(V_{GS}-1)^2$ $mA$, where $V_{GS}$ is in $V$. If $V_s=+5V$, then the value of $R_s$ in $K\Omega$ is _______________.
In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by $I_D=\frac{1}{2}(V_{GS}-1)^2$ $mA$, whe...
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12
GATE2017: 42
The two-input voltage multiplier, shown in the figure, has a scaling factor of $1$ and produces voltage output. If $V_1=+15\;V$ and $V_2=+3\;V$, the value of $V_\circ$ in $\text{volt}$ is _______________.
The two-input voltage multiplier, shown in the figure, has a scaling factor of $1$ and produces voltage output. If $V_1=+15\;V$ and $V_2=+3\;V$, the value of $V_\circ$ in...
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13
GATE2017: 43
The two inputs $A$ and $B$ are connected to an $R-S$ latch via two $AND$ gates as shown in the figure. If $A=1$ and $B=0$, the output $Q\overline{Q}$ is $00$ $10$ $01$ $11$
The two inputs $A$ and $B$ are connected to an $R-S$ latch via two $AND$ gates as shown in the figure. If $A=1$ and $B=0$, the output $Q\overline{Q}$ is$00$$10$$01$$11$
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14
GATE2017: 44
The circuit of a Schmitt trigger is shown in the figure. The zener-diode combination maintains the output between $\pm7\;V$. The width of the hysteresis band is ______________$V$.
The circuit of a Schmitt trigger is shown in the figure. The zener-diode combination maintains the output between $\pm7\;V$. The width of the hysteresis band is _________...
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18
GATE2017: 48
In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in $\text{rad/s}$ is ____________.
In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in ...
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20
GATE2017: 50
A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is _______________.
A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is...
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25
GATE2017: 55
An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maximum deviation of the frequency in the angle modulated signal from that of the carrier is _______________$kHz$.
An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maxim...
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26
GATE2017: 56
The event would have been successful if you____________able to come. $are$ $had\;been$ $have\;been$ $would\;have\;been$
The event would have been successful if you____________able to come.$are$$had\;been$$have\;been$$would\;have\;been$
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27
GATE2017: 57
There was no doubt that their work was $\underline{thorough}$. Which of the words below is closest in meaning to the underlined word above? pretty complete sloppy haphazard
There was no doubt that their work was $\underline{thorough}$.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard
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29
GATE2017: 59
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ? $1$ $-1$ $-2$ Cannot be determined
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined
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30
GATE2017: 60
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
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36
GATE2017: 21
A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal places is $-0.25\;A$ $-0.12\;A$ $0.37\;A$ $0.5\;A$
A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal plac...
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37
GATE2017: 22
Identify the instrument that does not exist: Dynamometer-type ammeter Dynamometer-type wattmeter Moving-iron voltmeter Moving-iron wattmeter
Identify the instrument that does not exist:Dynamometer-type ammeter Dynamometer-type wattmeterMoving-iron voltmeterMoving-iron wattmeter
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38
GATE2017: 23
The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is Bellows Barometer Strain gauge Pirani gauge
The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is BellowsBarometerStrain gaugePirani gauge
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39
GATE2017: 25
The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the corresponding pressure drop in $Kg/m^2$ is $2.5$ $5.0$ $20.0$ $25.0$
The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the correspo...
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40
GATE2017: 26
The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$. The probability that a given system with high fidelity will have high selectivity is $0.181$ $0.191$ $0.222$ $0.826$
The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$...
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