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Recent questions tagged gate2013-ec

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41
GATE ECE 2013 | Question: 23
A source $v_{s}(t) = V\cos100\:\pi t$ has an internal impedance of $(4 + j3)\:\Omega.$ If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in $\Omega$ should be $3$ $4$ $5$ $7$
A source $v_{s}(t) = V\cos100\:\pi t$ has an internal impedance of $(4 + j3)\:\Omega.$ If a purely resistive load connected to this source has to extract the maximum powe...
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42
GATE ECE 2013 | Question: 25
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is $ e^{-\pi f^{2}}$ $ e^{-\pi f^{2}/ 2}$ $ e^{-\pi \mid f \mid }$ $ e^{-2\pi f^{2}}$
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is$ e^{-\pi ...
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43
GATE ECE 2013 | Question: 24
The return loss of a device is found to be $20\:dB.$ The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively $1.22$ and $0.1$ $0.81$ and $0.1$ $-1.22$ and $0.1$ $2.44$ and $0.2$
The return loss of a device is found to be $20\:dB.$ The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively $1.22$ and $0.1$$0.81...
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GATE ECE 2013 | Question: 20
A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive has no real roots no negative real root odd number of real roots at least one positive and one negative real root
A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive hasno real rootsno negative real rootodd number of real roots a...
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GATE ECE 2013 | Question: 22
The transfer function $\dfrac{V_{2}(s)}{V_{1}(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1} \\ $ $\frac{3s+6}{s+2} \\ $ $\frac{s+2}{s+1} \\ $ $\frac{s+1}{s+2}$
The transfer function $\dfrac{V_{2}(s)}{V_{1}(s)}$ of the circuit shown below is$\frac{0.5s+1}{s+1} \\ $$\frac{3s+6}{s+2} \\ $$\frac{s+2}{s+1} \\ $$\frac{s+1}{s+2}$
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GATE ECE 2013 | Question: 19
The minimum eigenvalue of the following matrix is $\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$ $0$ $1$ $2$ $3$
The minimum eigenvalue of the following matrix is$$\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$$$0$$1$$2$$3$
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GATE ECE 2013 | Question: 21
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is $u(t)$ $tu(t)$ $\frac{t^{2}}{2}u(t)$ $e^{-t}u(t)$
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is$u(t)$$tu(t)$$\frac{t^{2}}{2}u(t)$$e^{-t}u(t)$
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GATE ECE 2013 | Question: 17
In a MOSFET operating in the saturation region, the channel length modulation effect causes an increase in the gate-source capacitance a decrease in the transconductance a decrease in the unity-gain cutoff frequency a decrease in the output resistance
In a MOSFET operating in the saturation region, the channel length modulation effect causes an increase in the gate-source capacitancea decrease in the transconductance a...
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GATE ECE 2013 | Question: 16
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is $5\: kHz $ $12\: kHz$ $15\: kHz$ $20\: kHz$
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is$5\: kHz $$12...
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GATE ECE 2013 | Question: 14
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
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GATE ECE 2013 | Question: 13
The bit rate of a digital communication system is $R$ kbits/s. The modulation used is $32$-QAM. The minimum bandwidth required for ISI free transmission is $R/10\: Hz$ $R/10\: kHz$ $R/5\: Hz$ $R/5\: kHz$
The bit rate of a digital communication system is $R$ kbits/s. The modulation used is $32$-QAM. The minimum bandwidth required for ISI free transmission is $R/10\: Hz$$R/...
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GATE ECE 2013 | Question: 6
The maximum value of $\theta$ until which the approximation $\sin\theta \approx \theta $ holds to within $10\%$ error is $10^{\circ}$ $18^{\circ}$ $50^{\circ}$ $90^{\circ}$
The maximum value of $\theta$ until which the approximation $\sin\theta \approx \theta $ holds to within $10\%$ error is$10^{\circ}$$18^{\circ}$$50^{\circ}$$90^{\circ}$
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GATE ECE 2013 | Question: 8
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is $\frac{t^{2}}{2}u(t)$ $\frac{t(t-1)}{2}u(t-1)$ $\frac{(t-1)^{2}}{2}u(t-1)$ $\frac{t^{2}-1}{2}u(t-1)$
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is$\frac{t^{2}}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^{2}}{2}u(t-1)$$\frac...
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GATE ECE 2013 | Question: 10
In the circuit shown below what is the output voltage $(V_{\text{out}})$ if a silicon transistor $Q$ and an ideal op-amp are used? $-15\: V$ $-0.7\: V$ $+0.7\: V$ $+15\: V$
In the circuit shown below what is the output voltage $(V_{\text{out}})$ if a silicon transistor $Q$ and an ideal op-amp are used?$-15\: V$$-0.7\: V$$+0.7\: V$$+15\: V$
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GATE ECE 2013 | Question: 7
The divergence of the vector field $\overrightarrow{A} = x\hat{a}_{x} + y\hat{a}_{y} + z\hat{a}_{z}$ is $0$ $1/3$ $1$ $3$
The divergence of the vector field $\overrightarrow{A} = x\hat{a}_{x} + y\hat{a}_{y} + z\hat{a}_{z}$ is $0$$1/3$ $1$ $3$
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