In an $EM$ wave propagating along $X-$ direction magnetic field oscillates at a frequency of $3 \times 10^{10}\, Hz$ along $Y-$ direction and has an amplitude of $10^{-7}\, T$. The expression for electric field will be

  • A

    $E_z = 30\, sin 2\pi\,(100x -3 \times 10^{10}\, t)\, V/m$

  • B

    $E_z = 300\, sin 2\pi\,(100x -3 \times 10^{10}\, t)\, V/m$

  • C

    $E_y = 30\, sin 2\pi\,(100x -3 \times 10^{10}\, t)\, V/m$

  • D

    $E_z = 300\, sin 2\pi\,(100x - 3 \times 10^{10}\, t)\, V/m$

Similar Questions

The magnetic field in a plane electromagnetic wave is given by, $B_{y}=2 \times 10^{-7} \sin \left(\pi \times 10^{3} x+3 \pi \times 10^{11} t\right) \;T$ Calculate the wavelength.

  • [NEET 2020]

If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : $(\omega-$ angular frequency) :

  • [JEE MAIN 2023]

The magnetic field in a plane electromagnetic wave is given by $=2 \times 10^{-7} \sin \left(0.5 \times 10^3 x+1.5 \times 10^{11} t\right)$. This electromagnetic wave is .........

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

  • [JEE MAIN 2023]

Figure given shows the face of a cathode-ray oscilloscope tube, as viewed from in front. $i.e.$ the electron beam is coming out normally from the plane of the paper. The electron beam passes through a region where there are electric and magnetic fields directed as shown. The deflections of the spot from the center of the screen produced by the electric field $E$ and the magnetic field $B$ separately are equal in magnitude. Which one of the diagrams below shows a possible position of the spot on the screen when both fields are operating?