GATE ECE 2023 | Uniform Plane Waves Question 2 | Electromagnetics

GATE ECE 2023

MCQ (Single Correct Answer)

-0.33

Consider a narrow band signal, propagating in a lossless dielectric medium $$(\varepsilon_r=4,\mu_r=1)$$, with phase velocity $$v_p$$ and group velocity $$v_g$$. Which of the following statement is true? ($$c$$ is the velocity of light in vacuum.)

$${v_p} > c,{v_g} > c$$

$${v_p} < c,{v_g} > c$$

$${v_p} > c,{v_g} < c$$

$${v_p} < c,{v_g} < c$$

GATE ECE 2022

MCQ (More than One Correct Answer)

-0.33

Consider the following wave equation,

$${{{\partial ^2}f(x,t)} \over {\partial {t^2}}} = 10000{{{\partial ^2}f(x,t)} \over {\partial {x^2}}}$$

Which of the given options is/are solution(s) to the given wave equation?

$$f(x,t) = {e^{ - {{(x - 100t)}^2}}} + {e^{ - {{(x + 100t)}^2}}}$$

$$f(x,t) = {e^{ - (x - 100t)}} + 0.5{e^{ - (x + 1000t)}}$$

$$f(x,t) = {e^{ - (x - 100t)}} + \sin (x + 100t)$$

$$f(x,t) = {e^{j100\pi ( - 100x + t)}} + {e^{j100\pi (100x + t)}}$$

GATE ECE 2016 Set 2

MCQ (Single Correct Answer)

-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?

The type of polarization of the wave.

The group velocity of the wave.

The phase velocity of the wave.

The power flux through the z = 0 plane.

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

-0.3

If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be

right-handed circularly polarized

left-handed circularly polarized

elliptically polarized with a tilt angle of 450

horizontally polarized