1
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33

Consider a rectangular coordinate system $(x, y, z)$ with unit vectors $a_x, a_y$ and $a_z$. A plane wave traveling in the region $z \geq 0$ with electric field vector $E=10 \cos \left(2 \times 10^8 t+\beta z\right) a_y$ is incident normally on the plane at $z=0$, where $\beta$ is the phase constant. The region $z \geq 0$ is in free space and the region $z<0$ is filled with a lossless medium (permittivity $\varepsilon=\varepsilon_0$ permeability $\mu=4 \mu_0$, where $\varepsilon_0=8.85 \times 10^{-12} \mathrm{F} / \mathrm{m}$ and $\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$ ). The value of the reflection coefficient is

A

$\frac{2}{3}$

B

$\frac{3}{5}$

C

$\frac{1}{3}$

D

$\frac{2}{5}$

2
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E = \widehat x{E_x}\,{e^{ - j\left( {wt - \beta z} \right)}},$$ , where the propagation constant $$\beta $$ is a function of the angular frequency $$\omega $$. Assume that $$\beta \left( \omega \right)$$ and $${E_x}$$ are known and are real. From the information available, which one of the following CANNOT be determined?
A
The type of polarization of the wave.
B
The group velocity of the wave.
C
The phase velocity of the wave.
D
The power flux through the z = 0 plane.
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be
A
right-handed circularly polarized
B
left-handed circularly polarized
C
elliptically polarized with a tilt angle of 450
D
horizontally polarized
4
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The electric field of a uniform plane electromagnetic wave is $$$\vec E = \left( {{{\overrightarrow a }_x} + j4{{\overrightarrow a }_y}} \right)\exp \left[ {j\left( {2\pi \times {{10}^7}t - 0.2z} \right)} \right]$$$

The polarization of the wave is

A
right handed circular
B
right handed elliptical
C
left handed circular
D
left handed elliptical

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