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761
GATE2012-20
An $\text{LED}$ emitting at $1\;\mu\text{m}$ with a spectral width of $50\;\text{nm}$ is used in a Michelson interferometer. To obtain a sustained interference, the maximum optical path difference between the two arms of the interferometer is $200\;\mu\text{m}$ $20\;\mu\text{m}$ $1\;\mu\text{m}$ $50\;\text{nm}$
An $\text{LED}$ emitting at $1\;\mu\text{m}$ with a spectral width of $50\;\text{nm}$ is used in a Michelson interferometer. To obtain a sustained interference, the maxim...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
762
GATE2012-19
The transfer function of a Zero-Order-Hold system with sampling interval $T$ is $\frac{1}{s}(1-e^{-Ts})$ $\frac{1}{s}(1-e^{-Ts})^2$ $\frac{1}{s}e^{-Ts}$ $\frac{1}{s^2}e^{-Ts}$
The transfer function of a Zero-Order-Hold system with sampling interval $T$ is$\frac{1}{s}(1-e^{-Ts})$$\frac{1}{s}(1-e^{-Ts})^2$$\frac{1}{s}e^{-Ts}$$\frac{1}{s^2}e^{-Ts}...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
763
GATE2012-18
A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation $x(t)=\sin\omega_1t+\sin\omega_2t,$ where $2\;\text{rad/s}<\omega_1,\;\omega_2<3\;\text{rad/s},$ then the output of the strain gauge is proportional to $x$ $\frac{dx}{dt}$ $\frac{d^2x}{dt^2}$ $\frac{d(x-y)}{dt}$
A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation $x(t)=\sin\omega_1t+\sin\omega_2t,$ where $2\;\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
764
GATE2012-17
A psychrometric chart is used to determine $\text{pH}$ $\text{Sound velocity in glasses}$ $\text{CO}_2 \text{concentration}$ $\text{Relative humidity}$
A psychrometric chart is used to determine $\text{pH}$$\text{Sound velocity in glasses}$$\text{CO}_2 \text{concentration}$$\text{Relative humidity}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
765
GATE2012-16
A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitoes is varied as $d(t)=10^{-3}[1+0.1\sin(1000\pi t)]\;\text{m}.$ If the value of the capacitance is $2\text{pF}$ at $t=0\text{ms},$ the output voltage $\text{V}_\circ$ at $t=2\;\text{ms}$ is $\frac{\pi}{2}\text{mV}$ $\pi\;\text{mV}$ $2\pi\;\text{mV}$ $4\pi\;\text{mV}$
A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitoes is varied as $d(t)=10^{-3}[1+0.1\sin(1000\pi t)]\;\text{m}.$ If...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
766
GATE2012-15
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$ $\frac{1}{3}<|z|<\frac{1}{2}$ $\frac{1}{2}<|z|<3$ $\frac{1}{3}<|z|$
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$$\frac{1}{3}<|z|<\frac{1...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
767
GATE2012-14
Consider the given circuit. In the circuit, the race round does not occur occurs when $\text{CLK}=0$ occurs when $\text{CLK}=1$ and $\text{A=B=1}$ occurs when $\text{CLK=1}$ and $\text{A=B=0}$
Consider the given circuit.In the circuit, the race rounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $\text{A=B=1}$occurs when $\text{CLK=1}$ a...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Digital Electronics
gate2012-in
digital-electronics
sequential-circuit
flip-flops
+
–
0
votes
0
answers
768
GATE2012-13
In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$ $\overline{X}Y,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$
In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$$\overline{X}Y,\;X\overline{Y}\;\overline{Z},\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Digital Electronics
gate2012-in
digital-electronics
boolean-algebra
prime-implicants
+
–
0
votes
0
answers
769
GATE2012-12
The output $\text{Y}$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input $\text{A}$ is greater than the $2$- bit input $\text{B}$. The number of combinations for which the output is logic $1$, is $4$ $6$ $8$ $10$
The output $\text{Y}$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input $\text{A}$ is greater than the $2$- bit input $\text{B}$. The number of combinations...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Digital Electronics
gate2012-in
digital-electronics
combinational-circuits
comparator
+
–
0
votes
0
answers
770
GATE2012-11
A system with transfer function $G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin(\omega t).$ The steady-state output of the system is zero at $\omega =1\;\text{rad/s}$ $\omega =2\;\text{rad/s}$ $\omega =3\;\text{rad/s}$ $\omega =4\;\text{rad/s}$
A system with transfer function $$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$is excited by $\sin(\omega t).$ The steady-state output of the system is zero at $\omega =1\;...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
771
GATE2012-10
The $i-v$ characteristics of the diode in the circuit given below are $i=\left\{ \begin{array}{rcl} \frac{\text{v}-0.7}{500}\text{A},& \text{v}\geq0.7\text{v}\\ 0\;\text{A}, & \text{v}<0.7\text{v} \end{array}\right.$ $10\;\text{mA}$ $9.3\;\text{mA}$ $6.67\;\text{mA}$ $6.2\;\text{mA}$
The $i-v$ characteristics of the diode in the circuit given below are $$i=\left\{ \begin{array}{rcl} \frac{\text{v}-0.7}{500}\text{A},& \text{v}\geq0.7\text{v}\\ 0\;\text...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
772
GATE2012-9
The impedance looking into nodes $1$ and $2$ in the given circuit is $50\;\Omega$ $100\;\Omega$ $5\;k\Omega$ $10.1\;k\Omega$
The impedance looking into nodes $1$ and $2$ in the given circuit is$50\;\Omega$$100\;\Omega$$5\;k\Omega$$10.1\;k\Omega$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
773
GATE2012-8
In the following figure, $\text{C}_1$ and $\text{C}_2$ are ideal capacitors. $\text{C}_1$ has been charged to $12\;\text{V}$ before the ideal switch $\text{S}$ is closed at $t=0$. The current $i(t)$ for all $t$ is $\text{zero}$ $\text{a step function}$ $\text{an exponentially decaying function}$ $\text{an impulse function}$
In the following figure, $\text{C}_1$ and $\text{C}_2$ are ideal capacitors. $\text{C}_1$ has been charged to $12\;\text{V}$ before the ideal switch $\text{S}$ is closed ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
774
GATE2012-7
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\text{A}$ $\frac{-1}{1+j}\text{A}$ $\frac{1}{1+j}\text{A}$ $0\text{A}$
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\text{A}$$\frac{-1}{1+j}\text{A}$$\frac{1}{1+j}\text{A}$$0\text{A}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
775
GATE2012-6
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
776
GATE2012-5
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}.$ If $C$ is a counterclockwise path in the $z$-plane such that $|z+1|=1,$ the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is $-2$ $-1$ $1$ $2$
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}.$ If $C$ is a counterclockwise path in the $z$-plane such that $|z+1|=1,$ the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is$-2$$-1$$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2012-in
numerical-methods
cauchys-integral-theorem
+
–
0
votes
0
answers
777
GATE2012-4
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}.$ The unilateral Laplace transform of $tf(t)$ is $-\frac{s}{(s^2+s+1)^2}$ $-\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}.$ The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential equations
gate2012-in
differential-equations
laplace-transform
+
–
0
votes
0
answers
778
GATE2012-3
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-in
probability-and-statistics
probability
random-variable
uniform-distribution
+
–
0
votes
0
answers
779
GATE2012-2
With initial condition $x(1)=0.5$, the solution of the differential equation, $t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$ $x=t^2-\frac{1}{2}$ $x=\frac{t^2}{2}$ $x=\frac{t}{2}$
With initial condition $x(1)=0.5$, the solution of the differential equation,$t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$$x=t^2-\frac{1}{2}$$x=\frac{t^2}{2}$$x=\frac{t}{2}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential equations
gate2012-in
differential-equations
+
–
0
votes
0
answers
780
GATE2012-1
If $x=\sqrt{-1},$ then the value of $x^x$ is $e^{-\pi/2}$ $e^{\pi/2}$ $x$ $1$
If $x=\sqrt{-1},$ then the value of $x^x$ is $e^{-\pi/2}$$e^{\pi/2}$$x$$1$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2012-in
calculus
functions
complex-number
+
–
0
votes
0
answers
781
GATE2018IN: 55
A multi-mode optical fiber with a large core diameter has a core refractive index $n_1 = 1.5$ and cladding refractive index $n_2 = 1.4142.$ The maximum value of $\theta_A$ (in degrees) for which the incident light from air will be guided in the optical fiber is $\pm$ _______________.
A multi-mode optical fiber with a large core diameter has a core refractive index $n_1 = 1.5$ and cladding refractive index $n_2 = 1.4142.$ The maximum value of $\theta_A...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
782
GATE2018IN: 54
A Michelson Interferometer using a laser source of wavelength $\lambda_0 = 500\; nm$, with both the mirrors $(M_1$ & $M_2)$ fixed and positioned equidistant from the splitter/combiner is shown in the figure. When a dielectric plate of refractive index $n = 1.5$, of thickness $t$ ... position of the mirrors $M_1$ & $M_2$, a bright fringe is observed on the detector. The minimum thickness $t$ (in $nm$) of the dielectric is ______________.
A Michelson Interferometer using a laser source of wavelength $\lambda_0 = 500\; nm$, with both the mirrors $(M_1$ & $M_2)$ fixed and positioned equidistant from the spl...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
783
GATE2018IN: 53
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits per second) is ____________.
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits pe...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
784
GATE2018IN: 52
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
785
GATE2018IN: 51
A $1000\;\Omega$ strain gage $(R_g$) has a gage factor of $2.5$. It is connected in the bridge as shown in figure. The strain gage is subjected with a positive strain of $400\; \mu m/m.$ The output $V_0$ (in $mV$) of the bridge is(up to two decimal places) $\_\_\_\_\_\_\_$.
A $1000\;\Omega$ strain gage $(R_g$) has a gage factor of $2.5$. It is connected in the bridge as shown in figure. The strain gage is subjected with a positive strain of ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
786
GATE2018IN: 50
The average velocity $v$ of flow of clear water in a $100\; cm$ (inner) diameter tube is measured using the ultrasonic flow meter as shown in the figure. The angle $\theta$ is $45^\circ$. The measured transit times are $t_1 = 0.9950\;ms$ and $t_2 = 1.0000\; ms$. The velocity $v$ (in m/s) in the pipe is (up to one decimal place) $\_\_\_\_\_$.
The average velocity $v$ of flow of clear water in a $100\; cm$ (inner) diameter tube is measured using the ultrasonic flow meter as shown in the figure. The angle $\thet...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
787
GATE2018IN: 49
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R_4 = 10\; k\Omega$. The value of the inductance $L_x$ (in $\text{mH} $ is $\_\_\_\_\_\_$
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
788
GATE2018IN: 48
A high $Q$ coil having distributed (self) capacitance is tested with a Q-meter. First resonance at $\omega_1$ = $10^6$ rad/s is obtained with a capacitance of $990\; pF$. The second resonance at $\omega_2 = 2 \times 10^6\;rad/s$ is obtained with $240\; pF$ capacitance. The value of the inductance (in $mH$) of the coil is (up to one decimal place) $\_\_\_\_\_\_$.
A high $Q$ coil having distributed (self) capacitance is tested with a Q-meter. First resonance at $\omega_1$ = $10^6$ rad/s is obtained with a capacitance of $990\; pF$....
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
789
GATE2018IN: 47
The voltage and current drawn by a resistive load are measured with a $300\; V$ voltmeter of accuracy $\pm1\%$ of full scale and a $5 \;A$ ammeter of accuracy $\pm 0.5\%$ of full scale. The readings obtained are $200\; V$ and $2.5\; A$. The limiting error (in $\%$) in computing the load resistance is (up two decimal places) $\_\_\_\_\_\_\_$.
The voltage and current drawn by a resistive load are measured with a $300\; V$ voltmeter of accuracy $\pm1\%$ of full scale and a $5 \;A$ ammeter of accuracy $\pm 0.5\%$...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
790
GATE2018IN: 46
The Boolean function $F(X, Y)$ realized by the given circuit is $\overline{X} Y + X \overline{Y}$ $\overline{X} \;\overline{Y}+ X Y$ $X + Y$ $\overline{X}\cdot \overline{Y}$
The Boolean function $F(X, Y)$ realized by the given circuit is $\overline{X} Y + X \overline{Y}$$\overline{X} \;\overline{Y}+ ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
combinational-circuits
logic-gates
+
–
0
votes
0
answers
791
GATE2018IN: 45
A portion of an assembly language program written for an 8-bit microprocessor is given below along with explanations. The code is intended to introduce a software time delay. The processor is driven by a $5\; MHz$ clock. The time delay (in $\mu$s) introduced by the program is _____________. $\text{MVI B, 64H}$ : Move ... : Jump to address with Label LOOP if zero flag is not set. Takes $10$ clock periods when jump is performed and $7$ clock periods when jump is not performed.
A portion of an assembly language program written for an 8-bit microprocessor is given below along with explanations. The code is intended to introduce a software time de...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
numerical-answers
digital-electronics
microprocessor-8085
+
–
0
votes
0
answers
792
GATE2018IN: 44
A 2-bit synchronous counter using two $J-K$ flip flops is shown. The expressions for the inputs to the $J-K$ flip flops are also shown in the figure. The output sequence of the counter starting from $Q_1Q_2 = 00$ is $00 \rightarrow 11 \rightarrow 10 \rightarrow 01 \rightarrow 00 …$ $00 \rightarrow 01 \rightarrow 10 \rightarrow 11 \rightarrow 00…$ $00 \rightarrow 01 \rightarrow 11 \rightarrow 10 \rightarrow 00…$ $00 \rightarrow 10 \rightarrow 11 \rightarrow 01 \rightarrow 00 ...$
A 2-bit synchronous counter using two $J-K$ flip flops is shown. The expressions for the inputs to the $J-K$ flip flops are also shown in the figure. The output sequence ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
sequential-circuit
counter
synchronous-counter
+
–
0
votes
0
answers
793
GATE2018IN: 43
The product of sum expression of a Boolean function F(A, B, C) of three variables is given by $F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \cdot (\overline{A} + B + C) \cdot(\overline{A} + \overline{B} + \overline{C}$) The canonical sum product expression of $F(A, B, C)$ ... $\overline{A}\; \overline{B}\; \overline{C} + \overline{A} B C + A B \overline{C} + A B C$
The product of sum expression of a Boolean function F(A, B, C) of three variables is given by$F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
boolean-algebra
products-of-sum-form
+
–
0
votes
0
answers
794
GATE2018IN: 42
The circuit given uses ideal opamps. The current $I$ (in $\mu$A) drawn from the source v$_s$ is (up to two decimal places) $\_\_\_\_\_$.
The circuit given uses ideal opamps. The current $I$ (in $\mu$A) drawn from the source v$_s$ is (up to two decimal places) $\_\_\_\_\_$.
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
795
GATE2018IN: 41
An opamp that is powered from a $\pm\; 5V$ supply is used to build a non-inverting amplifier having a gain of $15$. The slew rate of the opamp is $0.5 \times 10^6 \;V/s.$ For a sinusoidal input with ampitude of $0.3V,$ the maximum frequency (in $\text{kHz}$) up to which it can be operated without any distortion is (up to one decimal place) _______.
An opamp that is powered from a $\pm\; 5V$ supply is used to build a non-inverting amplifier having a gain of $15$. The slew rate of the opamp is $0.5 \times 10^6 \;V/s.$...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
796
GATE2018IN: 40
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
797
GATE2018IN: 39
Unit step response of a linear time invariant $(LTI)$ system is given by $y(t) = (1 – e^{-2t})u(t)$. Assuming zero initial condition, the transfer function of the system is $\frac{1}{s+1}$ $\frac{2}{(s+1)(s+2)}$ $\frac{1}{s+2}$ $\frac{2}{s+2}$
Unit step response of a linear time invariant $(LTI)$ system is given by $y(t) = (1 – e^{-2t})u(t)$. Assuming zero initial condition, the transfer function of the syste...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
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0
answers
798
GATE2018IN: 38
Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imaginary axis, the value of $\alpha$ should be equal to (up to one decimal place)$\_\_\_\_\_\_$.
Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imagina...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
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0
votes
0
answers
799
GATE2018IN: 37
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for this system is $x(t) = \begin{bmatrix}e^{-t} & te^{-2t} \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$ ... $\begin{bmatrix}1 \\1\end{bmatrix}$ $x(t) = \begin{bmatrix}e^{-t} & 0 \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Numerical Methods
gate2018-in
numerical-methods
linear-system
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0
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0
answers
800
GATE2018IN:36
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements of (-1,0) in the Nyquist plot of the Loop transfer-function G(s)H(s) is $\_\_\_\_\_$
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
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