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Recent questions tagged gate2003-ec
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81
GATE ECE 2003 | Question: 81
The input to a linear delta modulator having a step-size $\Delta=0.628$ is a sine wave with frequency $f m$ and peak amplitude $E_{m}$. If the sampling frequency $f_{s}=40 \; \mathrm{kH} \mathrm{z}$, the combination of the sine-wave frequency and the peak amplitude, where ... $1.5 \mathrm{~V} \; 2 \; \mathrm{kHz}$ $3.0 \mathrm{~V} \; 1 \; \mathrm{kHz}$
The input to a linear delta modulator having a step-size $\Delta=0.628$ is a sine wave with frequency $f m$ and peak amplitude $E_{m}$. If the sampling frequency $f_{s}=4...
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82
GATE ECE 2003 | Question: 82
If $\text{S}$ represents the carrier synchronization at the receiver and $\rho$ represents the bandwidth efficiency, then the correct statement for the coherent binary $\text{PSK}$ is $\rho=0.5, S$ is required $\rho=1.0, S$ is required $\rho=0.5, \mathrm{~S}$ is not required $\rho=1.0, S$ is not required
If $\text{S}$ represents the carrier synchronization at the receiver and $\rho$ represents the bandwidth efficiency, then the correct statement for the coherent binary $\...
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83
GATE ECE 2003 | Question: 83
A signal is sampled at $8 \; \mathrm{kHz}$ and is quantized using $8$-bit uniform quantizer. Assuming $\mathrm{SNR}_q$ for a sinusoidal signal, the correct statement for $P C M$ signal with a bit rate of $R$ ... $\mathrm{R}=32 \; \mathrm{kbps}, \quad \mathrm{SNR}_q=49.8 \mathrm{~dB}$
A signal is sampled at $8 \; \mathrm{kHz}$ and is quantized using $8$-bit uniform quantizer. Assuming $\mathrm{SNR}_q$ for a sinusoidal signal, the correct statement for ...
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84
GATE ECE 2003 | Question: 84
Medium $1$ has the electrical permittivity $\varepsilon_{1}=1.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region to the left of $x=0$ plane. Medium $2$ has the electrical permittivity $\varepsilon_{2}=2.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region ... $/ \mathrm{m}$ $\left(1.2 u_{x}-2.0 u_{y}+0.6 u_{z}\right)$ volt $/ \mathrm{m}$
Medium $1$ has the electrical permittivity $\varepsilon_{1}=1.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region to the left of $x=0$ plane. Medium $2$ has t...
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85
GATE ECE 2003 | Question: 85
If the electric field intensity is given by \[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\] the potential difference between $X(2,0,0)$ and $Y(1,2,3)$ is $+1$ volt $-1$ volt $+5$ volt $+6$ volt
If the electric field intensity is given by\[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\]the potential difference between $X(2...
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46.4k
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86
GATE ECE 2003 | Question: 86
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient for the normal incidence, is zero $0.5 \angle 180^{\circ}$ $0.333 \angle 0^{\circ}$ $0.333 \angle 180^{\circ}$
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient fo...
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87
GATE ECE 2003 | Question: 87
If the electric field intensity associated with a uniform plane electromagnetic wave travelling in a perfect dielectric medium is given by $E(z, t)=10 \cos \left(2 \pi \times 10^{7} t=0.1 \pi z\right)$ volt $/ \mathrm{m}$ ... $6.28 \times 10^{7} \mathrm{~m} / \mathrm{sec}$ $2.00 \times 10^{7} \mathrm{~m} / \mathrm{sec}$
If the electric field intensity associated with a uniform plane electromagnetic wave travelling in a perfect dielectric medium is given by $E(z, t)=10 \cos \left(2 \pi \t...
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46.4k
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88
GATE ECE 2003 | Question: 88
A short-circuited stub is shunt connected to a transmission line as shown in the figure is. If $Z_{0}=50 \mathrm{ohm}$, the admittance $Y$ seen at the junction of the stub and the transmission line is $(0.01-j 0.02) \; \mathrm{mho}$ $(0.02-j 0.01) \; \mathrm{mho}$ $(0.04-j 0.02) \; \mathrm{mho}$ $(0.02+j 0) \; \mathrm{mho}$
A short-circuited stub is shunt connected to a transmission line as shown in the figure is. If $Z_{0}=50 \mathrm{ohm}$, the admittance $Y$ seen at the junction of the stu...
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46.4k
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89
GATE ECE 2003 | Question: 89
A rectangular metal wave guide filled with a dielectric material of relative permittivity $\varepsilon_{r}=4$ has the inside dimensions $3.0 \mathrm{~cm} \times 1.2 \mathrm{~cm}$. The cut-off frequency for the dominant mode is $2.5 \; \mathrm{GHz}$ $5.0 \; \mathrm{GHz}$ $10.0 \; \mathrm{GHz}$ $12.5 \; \mathrm{GHz}$
A rectangular metal wave guide filled with a dielectric material of relative permittivity $\varepsilon_{r}=4$ has the inside dimensions $3.0 \mathrm{~cm} \times 1.2 \math...
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90
GATE ECE 2003 | Question: 90
Two identical antennas are placed in the $\theta=\pi / 2$ plane as shown in the figure. The elements have equal amplitude excitation with $180^{\circ}$ polarity difference, operating at wavelength $\lambda$. The correct value of the magnitude of the far-zone resultant ... $2 \sin \left(\frac{\pi \mathrm{s}}{\lambda}\right)$
Two identical antennas are placed in the $\theta=\pi / 2$ plane as shown in the figure. The elements have equal amplitude excitation with $180^{\circ}$ polarity differenc...
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46.4k
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