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Recent questions tagged gate2012-in
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41
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}...
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42
GATE2012-25
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge
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43
GATE2012-24
For the circuit shown in the figure, the voltage and current expressions are $v(t)=E_1\sin(\omega t)+E_3\sin(3\omega t)$ and $i(t)=I_1\sin(\omega t-\phi_1)+I_3\sin(3\omega t-\phi_3)+I_5\sin(5\omega t).$ The average power measured by the Wattmeter is $\frac{1}{2}E_1I_1\cos\phi_1$ $\frac{1}{2}[E_1I_1\cos\phi_1+E_1I_3\cos\phi_3+E_1I_5]$ $\frac{1}{2}[E_1I_1\cos\phi_1+E_3I_3\cos\phi_3]$ $\frac{1}{2}[E_1I_1\cos\phi_1+E_3I_1\cos\phi_1]$
For the circuit shown in the figure, the voltage and current expressions are $v(t)=E_1\sin(\omega t)+E_3\sin(3\omega t)$ and $i(t)=I_1\sin(\omega t-\phi_1)+I_3\sin(3\omeg...
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44
GATE2012-23
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads $4\;\text{V}$ $5\;\text{V}$ $8\;\text{V}$ $10\;\text{V}$
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads$...
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45
GATE2012-22
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R$ to be used is $0.9\;\Omega$ $1.1\;\Omega$ $0.9\;k\Omega$ $1.1\;k\Omega$
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R...
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46
GATE2012-21
Light of wavelength $630\;\text{nm}$ in vacuum, falling normally on a biological specimen of thickness $10\;\mu\text{m}$, splits into two beams that are polarized at right angles. The refractive index of the tissue for the two polarizations are $1.32$ and $1.333$. When the two beams emerge, they are out of phase by $0.13^\circ$ $74.3^\circ$ $90.0^\circ$ $128.6^\circ$
Light of wavelength $630\;\text{nm}$ in vacuum, falling normally on a biological specimen of thickness $10\;\mu\text{m}$, splits into two beams that are polarized at righ...
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47
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...
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48
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...
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Digital Electronics
gate2012-in
digital-electronics
sequential-circuit
flip-flops
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49
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...
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Digital Electronics
gate2012-in
digital-electronics
combinational-circuits
comparator
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50
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},\...
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Digital Electronics
gate2012-in
digital-electronics
boolean-algebra
prime-implicants
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51
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\;\...
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52
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}$$\text{Relative humidity}$
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53
GATE2012-16
A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitoes is varied as $d(t)=10^{-3}[1+0.1\sin(1000\pi t)]\;\text{m}.$ If the value of the capacitance is $2\text{pF}$ at $t=0\text{ms},$ the output voltage $\text{V}_\circ$ at $t=2\;\text{ms}$ is $\frac{\pi}{2}\text{mV}$ $\pi\;\text{mV}$ $2\pi\;\text{mV}$ $4\pi\;\text{mV}$
A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitoes is varied as $d(t)=10^{-3}[1+0.1\sin(1000\pi t)]\;\text{m}.$ If...
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54
GATE2012-15
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$ $\frac{1}{3}<|z|<\frac{1}{2}$ $\frac{1}{2}<|z|<3$ $\frac{1}{3}<|z|$
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$$\frac{1}{3}<|z|<\frac{1...
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55
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$$-1$$...
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Numerical Methods
gate2012-in
numerical-methods
cauchys-integral-theorem
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56
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 $$i=\left\{ \begin{array}{rcl} \frac{\text{v}-0.7}{500}\text{A},& \text{v}\geq0.7\text{v}\\ 0\;\text...
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57
GATE2012-11
A system with transfer function $G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin(\omega t).$ The steady-state output of the system is zero at $\omega =1\;\text{rad/s}$ $\omega =2\;\text{rad/s}$ $\omega =3\;\text{rad/s}$ $\omega =4\;\text{rad/s}$
A system with transfer function $$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$is excited by $\sin(\omega t).$ The steady-state output of the system is zero at $\omega =1\;...
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58
GATE2012-9
The impedance looking into nodes $1$ and $2$ in the given circuit is $50\;\Omega$ $100\;\Omega$ $5\;k\Omega$ $10.1\;k\Omega$
The impedance looking into nodes $1$ and $2$ in the given circuit is$50\;\Omega$$100\;\Omega$$5\;k\Omega$$10.1\;k\Omega$
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59
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 ...
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60
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}$$0\text{A}$
Milicevic3306
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61
GATE2012-6
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$...
Milicevic3306
7.9k
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Milicevic3306
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62
GATE2012-4
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}.$ The unilateral Laplace transform of $tf(t)$ is $-\frac{s}{(s^2+s+1)^2}$ $-\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}.$ The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...
Milicevic3306
7.9k
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Milicevic3306
asked
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Differential equations
gate2012-in
differential-equations
laplace-transform
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–
0
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0
answers
63
GATE2012-3
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$...
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7.9k
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Milicevic3306
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Probability and Statistics
gate2012-in
probability-and-statistics
probability
random-variable
uniform-distribution
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–
0
votes
0
answers
64
GATE2012-2
With initial condition $x(1)=0.5$, the solution of the differential equation, $t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$ $x=t^2-\frac{1}{2}$ $x=\frac{t^2}{2}$ $x=\frac{t}{2}$
With initial condition $x(1)=0.5$, the solution of the differential equation,$t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$$x=t^2-\frac{1}{2}$$x=\frac{t^2}{2}$$x=\frac{t}{2}$
Milicevic3306
7.9k
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Milicevic3306
asked
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Differential equations
gate2012-in
differential-equations
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0
votes
0
answers
65
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
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Milicevic3306
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Mar 25, 2018
Calculus
gate2012-in
calculus
functions
complex-number
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