GATE EC question library

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 slope overload will take place is

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

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 to the right of $x=0$ plane. If $\mathrm{E}_{1}$ in medium …

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

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

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 $/ \mathrm{m}$, then the velocity of the travelling wave is

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

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

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 electric field strength normalized with that of a single element, both computed for …