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521
GATE2013-4
The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all integers $n$ $Re(s)=0$ $Im(s)\neq n\pi$ $Im(s)\neq \frac{n\pi}{3}$ $Im(s)\neq\frac{(2n+1)\pi}{2}$
The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all...
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522
GATE2013-6
For a periodic signal $v(t)=30\sin 100t+10\cos 300t+6\sin (500t+\frac{\pi}{4})$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t)=30\sin 100t+10\cos 300t+6\sin (500t+\frac{\pi}{4})$, the fundamental frequency in $rad/s$ is $100$$300$$500$$1500$
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523
GATE2013-7
In the transistor circuit as shown below, the value of resistance $R_E$ in $k\Omega$ is approximately, $1.0$ $1.5$ $2.0$ $2.5$
In the transistor circuit as shown below, the value of resistance $R_E$ in $k\Omega$ is approximately, $1.0$$1.5$$2.0$$2.5$
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527
GATE2012-52
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $\text{a=1, b=2}$ $\text{a=3, b=2}$ $\text{a=-3, b=-1}$ $\text{a=3, b=1}$
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if $\text{a=1, b=2}$$\text{a=3, b=2}$$\text{a=-3, b=-1}$$\text...
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528
GATE2012-53
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$ $\sqrt{3}\;\text{rad/s}$ $\sqrt{6}\;\text{rad/s}$ $\frac{1}{\sqrt{3}}\;\text{rad/s}$
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$$\sqrt{3}\;\tex...
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529
GATE2012-54
The power factor of the load is $0.45$ $0.50$ $0.55$ $0.60$
The power factor of the load is$0.45$$0.50$$0.55$$0.60$
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530
GATE2012-55
If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$ $750\;\text{W}$ $800\;\text{W}$ $850\;\text{W}$
If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$$750\;\text{W}$$800\;\text{W}$$850\;\text{W}$
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533
GATE2012-43
The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}$ $22.3\;\text{dB}$ $34.1\;\text{dB}$ $45.6\;\text{dB}$
The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}...
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540
GATE2012-35
The state transition diagram for the logic circuit shown is
The state transition diagram for the logic circuit shown is
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541
GATE2012-37
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y[1]=1/2$, then $g[1]$ equals $0$ $1/2$ $1$ $3/2$
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$...
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542
GATE2012-38
The feedback system shown below oscillates at $2\;\text{rad/s}$ when $K=2$ and $a=0.75$ $K=3$ and $a=0.75$ $K=4$ and $a=0.5$ $K=2$ and $a=0.5$
The feedback system shown below oscillates at $2\;\text{rad/s}$ when$K=2$ and $a=0.75$$K=3$ and $a=0.75$$K=4$ and $a=0.5$$K=2$ and $a=0.5$
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544
GATE2012-40
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stable stable and not time-invariant time-invariant and not stable not time-invariant and not stable
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stablestable and not time...
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545
GATE2012-31
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$ $2\;\text{V}$ $3\;\text{V}$ $6\;\text{V}$
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$$2\;\text{V}$$3\;\text{V}$$6\;\text{V}$
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546
GATE2012-32
Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$ $1.4\;\Omega$ $2\;\Omega$ $2.8\;\Omega$
Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$...
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547
GATE2012-33
The voltage gain $A_v$ of the circuit shown below is $|A_v|\approx 200$ $|A_v|\approx 100$ $|A_v|\approx 20$ $|A_v|\approx 10$
The voltage gain $A_v$ of the circuit shown below is$|A_v|\approx 200$$|A_v|\approx 100$$|A_v|\approx 20$$|A_v|\approx 10$
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548
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}$$\frac{1}{s^2}e^{-Ts}...
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551
GATE2012-22
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R$ to be used is $0.9\;\Omega$ $1.1\;\Omega$ $0.9\;k\Omega$ $1.1\;k\Omega$
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R...
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552
GATE2012-23
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads $4\;\text{V}$ $5\;\text{V}$ $8\;\text{V}$ $10\;\text{V}$
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads$...
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554
GATE2012-25
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge
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555
GATE2012-15
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$ $\frac{1}{3}<|z|<\frac{1}{2}$ $\frac{1}{2}<|z|<3$ $\frac{1}{3}<|z|$
If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$$\frac{1}{3}<|z|<\frac{1...
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557
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}$$\text{Relative humidity}$
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559
GATE2012-6
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$
The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$...
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560
GATE2012-7
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\text{A}$ $\frac{-1}{1+j}\text{A}$ $\frac{1}{1+j}\text{A}$ $0\text{A}$
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\text{A}$$\frac{-1}{1+j}\text{A}$$\frac{1}{1+j}\text{A}$$0\text{A}$
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