Physics Electromagnetic Waves

A plane electromagnetic wave, has frequency of 2.0 * 10¹⁰ Hz and its energy density is 1.02 * 10⁻⁸ J/m³ in vacuum. The amplitude of the magnetic field of the wave is close to (1/(4πε₀) = 9 * 10⁹ Nm²/C² and speed of light = 3 * 10⁸ ms⁻¹):

Suppose that intensity of a laser is (315/π) W/m². The rms electric field, in units of V/m associated with this source is close to the nearest integer is (ε₀ = 8.86 * 10⁻¹² C²N⁻¹m⁻²; c = 3 * 10⁸ ms⁻¹)

The quantities x = 1/√(µ₀ε₀), y = E/B and z = 1/CR are defined where C-capacitance, R Resistance, l-length, E-Electric field, B-magnetic field and ε₀, µ₀, - free space permittivity and permeability respectively. Then:

The correct match between the entries in column I and column II are:

If the magnetic field in a plane electromagnetic wav is given by $\stackrel{?}{B}=3*{10}^{-8}$ $\mathrm{s}\mathrm{i}\mathrm{n}?\left(1.6*{10}^3\mathrm{x}+48*{10}^{10}\mathrm{t}\right)\mathrm{j}\mathrm{T}$ $\stackrel{}{}{}^{}$ $\left({}^{}{}^{}\right)$ , then what will be expression for electric field?

The electric field of a plane electromagnetic wave is given by

$\vec{\mathrm{E}}={\mathrm{E}}_0\frac{\stackrel{\mathrm{ˆ}}{\mathrm{i}}+\stackrel{\mathrm{ˆ}}{\mathrm{j}}}{\sqrt[]{2}}\mathrm{c}\mathrm{o}\mathrm{s}(\mathrm{k}\mathrm{z}+\omega \mathrm{t})$

At $\mathrm{t}=0$ , a positively charged particle is at the point $(x,y,z)=\left(\mathrm{0,0},\frac{\pi }{k}\right)$ . If its instantaneous velocity at $(t=0)$ is $v_0\hat{k}$ , the force acting on it due to the wave is:

For an electromagnetic wave traveling in free space, the relation between average energy densities due to electric (Ue) and magnetic (Um) fields is :

A linearly polarized electromagnetic wave in vacuum is E = 3.1 cos[(1.8)z - (5.4 * 10?)t] î N/C. Is incident normally on a perfectly reflecting wall at z = a. Choose the correct option

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in the this medium is_____* 10⁷ m/s.

A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of 2m.Th efficiency of the bulb is 1.25%. The value of peak electric field at P is x * 10^-1 V/m. Value of x is----------. (Rounded – off to the nearest integer)

[Take ${\epsilon }_0=8.85*10^{-12}{C}^2{N}^{-1}{m}^{-2},c=3*10^{8}m{s}^{-1}]$