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Recent questions tagged gate2004-ec
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81
GATE ECE 2004 | Question: 81
Three analog signals, having bandwidths $1200 \mathrm{~Hz}$, $600 \mathrm{~Hz}$ and $600 \mathrm{~Hz}$, are sampled at their respective Nyquist rates, encoded with $12$ bit words, and time division multiplexed. The bit rate for the multiplexed signal is $115.2 \; \mathrm{kbps}$ $28.8 \; \mathrm{kbps}$ $57.6 \; \mathrm{kbps}$ $38.4 \; \mathrm{kbps}$
Three analog signals, having bandwidths $1200 \mathrm{~Hz}$, $600 \mathrm{~Hz}$ and $600 \mathrm{~Hz}$, are sampled at their respective Nyquist rates, encoded with $12$ b...
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82
GATE ECE 2004 | Question: 82
Consider a system shown in the figure. Let $X(f)$ and $Y(f)$ denote the Fourier transforms of $X(t)$ and $y(t)$ respectively. The ideal HPF has the cutoff frequency $10 \mathrm{kHz}$. The positive frequencies where $Y(f)$ has spectral peaks are $1 \; \mathrm{kHz}$ ... $1 \; \mathrm{kHz}$ and $14 \; \mathrm{kHz}$ $2 \; \mathrm{kHz}$ and $14 \; \mathrm{kHz}$
Consider a system shown in the figure. Let $X(f)$ and $Y(f)$ denote the Fourier transforms of $X(t)$ and $y(t)$ respectively. The ideal HPF has the cutoff frequency $10 \...
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83
GATE ECE 2004 | Question: 83
A parallel plate air-filled capacitor has plate area of $10^{-1} \mathrm{~m}^{2}$ and plate separation of $10^{-3} \mathrm{~m}$. It is connected to a $0.5 \mathrm{~V}, 3.6 \; \mathrm{GHz}$ ... $10 \mathrm{~mA}$ $100 \mathrm{~mA}$ $10 \mathrm{~A}$ $1.59 \mathrm{~mA}$
A parallel plate air-filled capacitor has plate area of $10^{-1} \mathrm{~m}^{2}$ and plate separation of $10^{-3} \mathrm{~m}$. It is connected to a $0.5 \mathrm{~V}, 3....
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84
GATE ECE 2004 | Question: 84
A source produces binary data at the rate of $\text{10 kbps.}$ The binary symbols are represented as shown in the figure given below. The source output is transmitted using two modulation schemes, namely Bìnary PSK (BPSK) and Quadrature PSK (QPSK). Let $\mathrm{B}_{1}$ ... $\mathrm{B}_{1}=20 \; \mathrm{kHz}, \mathrm{B}_{2}=10 \; \mathrm{kHz}$
A source produces binary data at the rate of $\text{10 kbps.}$ The binary symbols are represented as shown in the figure given below.The source output is transmitted usin...
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85
GATE ECE 2004 | Question: 85
Consider a $300 \; \Omega$, quarter-wave long (at $1 \; \mathrm{GHz}$ ) transmission line as shown in the figure. It is connected to a $10 \mathrm{~V}, 50 \; \Omega$ source at one end and is left open circuited at the other end. The magnitude of the voltage at the open circuit end of the line is $10 \mathrm{~V}$ $5 \mathrm{~V}$ $60 \mathrm{~V}$ $60 / 7 \mathrm{~V}$
Consider a $300 \; \Omega$, quarter-wave long (at $1 \; \mathrm{GHz}$ ) transmission line as shown in the figure. It is connected to a $10 \mathrm{~V}, 50 \; \Omega$ sour...
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86
GATE ECE 2004 | Question: 86
In a microwave test bench, why is the microwave signal amplitude modulated at $1 \; \mathrm{kHz}$? To increase the sensitivity of measurement To transmit the signal to a far-off place To study amplitude modulation Because crystal detector fails at microwave frequencies
In a microwave test bench, why is the microwave signal amplitude modulated at $1 \; \mathrm{kHz}$?To increase the sensitivity of measurementTo transmit the signal to a fa...
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87
GATE ECE 2004 | Question: 87
If $\overrightarrow{\mathrm{E}}=\left(\hat{a}_{x}+j \vec{a}_{y}\right) e^{\beta a-k a t}$ and $\overrightarrow{\mathrm{H}}=\left(\frac{k}{\omega \mu}\right)\left(\hat{a}_{y}+j \hat{a}_{x}\right) e^{j u-\mu \mu 1}$, the time averaged Poynting vector is null ... $\left(\frac{2 k}{\omega \mu}\right) \hat{a}_{x}$ $\left(\frac{k}{2 \omega \mu}\right) \hat{a}_{z}$
If $\overrightarrow{\mathrm{E}}=\left(\hat{a}_{x}+j \vec{a}_{y}\right) e^{\beta a-k a t}$ and $\overrightarrow{\mathrm{H}}=\left(\frac{k}{\omega \mu}\right)\left(\hat{a}_...
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88
GATE ECE 2004 | Question: 88
Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ ... series with $\mathrm{Z}$ adding an inductance in shunt across $\mathrm{Z}$ adding a capacitance in shunt across $\mathrm{Z}$
Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ alon...
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89
GATE ECE 2004 | Question: 89
A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non magnetic, dielectric material with $\varepsilon>\varepsilon_{0}$. Maxima and minima are observed when the electric field is measured in front of the slab. The maximum electric ... $60 \; \pi \Omega$ $600 \; \pi \Omega$ $24 \; \pi \Omega$
A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non magnetic, dielectric material with $\varepsilon>\varepsilon_...
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90
GATE ECE 2004 | Question: 90
A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is $2.$ The percentage of the power that is reflected back is $57.73$ $33.33$ $0.11$ $11.11$
A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is $2.$ The percentage of the power that is reflected ...
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