Electromagnetic waves practice · Mixed difficulty

The wave function [in S.I unit] for an electromagnetic wave is given as $\psi \left( {x,t} \right) = {10^3}\sin \pi \left[ {3 \times {{10}^6}x - 9 \times {{10}^{14}}t} \right]$ The speed of the wave is [in m/s]

Rays in electromagnetic spectrum that has lowest frequency are

When an electromagnetic waves enter the ionised layer of ionosphere, the motion of electron cloud produces a space current and the electric field has its own capacitative displacement current, then

Electromagnetic energy is radiated by:

(a) Stationary charge

(b) A charge in uniform motion

(c) An accelerated charge only

(d) An accelerated charge and a charge in uniform motion

Choose the correct statement.

In the case of a photon :-

The velocity of electromagnetic waves in a dielectric medium of constant 4 is

An FM radio station, antenna radiates a power of $10 \mathrm{~kW}$ at a wavelength of $3 \mathrm{~m}$. Assume the radiated power is confined to and is uniform over a hemisphere with antenna at its centre. $E_{\max }$ at a distance of $10 \mathrm{~km}$ from antenna is

Given below are two statements:

Statement I : Electromagnetic waves are not deflected by electric and magnetic field.

Statement II: The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_0=\sqrt{\frac{\mu_0}{\varepsilon_0}} B_0$.

In the light of the above statements, choose the correct answer from the options given below :

Wave length of light of frequency 100 Hz is

Statement I: Displacement current decreases with the increase in frequency of a.c. supplied to the capacitor

Statement II: Reactance due to capacitance is directly proprtional to the frequency of a.c.

The wavelength of infrared rays is of the order of

A radar sends the waves towards a distant object and receives the signal reflected by object. These waves are

The energy density associated with electric field $\vec{E}$ and magnetic field $\vec{B}$ of an electromagnetic wave in free space is given by $\left(\varepsilon_{0}-\right.$ permittivity of free space, $\mu_{0}$ - permeability of free space)

The electric field associated with an EM wave in vaccum is given by $E = \hat i40\,\cos \left( {KZ - 6 \times {{10}^8}t} \right)$ where ${E_1}$ $Z$ and $t$ are in volt/m, metre and secants respectively. The value of wave vector k is

The magnetic energy stored in a long solenoid of area of cross-section $A$ in a small region of length $L$ is:

Electromagnetic waves travel in a medium with speed of $1.5 \times 10^8 \mathrm{~ms}^{-1}$. The relative permeability of the medium is 2.0 . The relative permittivity will be :

Which of the following are not electromagnetic waves

The frequency of a plane electromagnetic wave traveling in vacuum in X-direction is
30 MHz, its wavelength is

The range of frequency allotted for FM radio is

An electromagnetic wave of intensity $I$ falls on a surface kept in vacuum and exerts radiation pressure $P$ on it. Which of the following statement is not true?

A plane electromagnetic wave travels in free space along the $x$-direction. The electric field component of the wave at a particular point of space and time is $E = 6\,V{m^{ - 1}}$ along $y$-direction. Its corresponding magnetic field component, $B$ would be

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by

$\begin{array}{l} E_{x}=E_{0} \sin (k z-\omega t) \\ B_{y}=B_{0} \sin (k z-\omega t) \end{array}$

Then the correct relation between ${E}_{0}$ and ${B}_{0}$ is given by

Which is having minimum wavelength?

The property which is not of an electromagnetic wave travelling in free space is that:

A charged particle oscillates about its mean equilibrium position with a frequency of ${10^9}$ Hz. Frequency of the Electromagnetic Waves produced by the oscillator is