The intensity of light from a source is $\left( {\frac{{500}}{\pi }} \right)W/{m^2}$ . Find the amplitude of electric field in this wave

  • A

    $\sqrt 3  \times {10^{2\,}}\,N/C$

  • B

    $2\sqrt 3  \times {10^{2\,}}\,N/C$

  • C

    $\frac{{\sqrt 3 }}{2} \times {10^{2\,}}\,N/C$

  • D

    $2\sqrt 3  \times {10^{1\,}}\,N/C$

Similar Questions

A plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y-$direction. At a particular point in space and

time, $\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } \;T$. The value of electric field at this point is

(speed of light $\left.=3 \times 10^{8}\, ms ^{-1}\right)$

$\hat{ x }, \hat{ y }, \hat{ z }$ are unit vectors along $x , y$ and $z$ direction.

  • [JEE MAIN 2021]

A plane electromagnetic wave of frequency $28 \,MHz$ travels in free space along the positive $x$-direction. At a particular point in space and time, electric field is $9.3 \,V / m$ along positive $y$-direction. The magnetic field (in $T$ ) at that point is

The electric field in an electromagnetic wave is given as $\vec{E}=20 \sin \omega\left(t-\frac{x}{c}\right) \vec{j} NC ^{-1}$ Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $5 \times 10^{-4}\, m ^3$ will be $.....\times 10^{-13}\,J$

(Given $\varepsilon_0=8.85 \times 10^{-12}\,C ^2 / Nm ^2$ )

  • [JEE MAIN 2023]

Identify the correct statements from the following descriptions of various properties of electromagnetic waves.

$A$. In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.

$B.$ The energy in electromagnetic wave is divided equally between electric and magnetic fields.

$C.$ Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of wave.

$D.$ The electric field, magnetic field and direction of propagation of wave must be perpendicular to each other.

$E.$ The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.

Choose the most appropriate answer from the options given below:

  • [JEE MAIN 2022]

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:

  • [JEE MAIN 2023]