Consider an electromagnetic wave propagating in vacuum. Choose the...

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:

Options

AFor an electromagnetic wave propagating in $+ y$ direction the electric field is $\overset{\to}{E} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(x, t\right)\overset{^}{z}$ and the magnetic field is $\overset{\to}{B} = \dfrac{1}{\sqrt{2}}{B}_{z}\left(x, t\right)\overset{^}{y}$
BFor an electromagnetic wave propagating in + y direction the electric field is $\overset{\to}{E} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(x, t\right)\overset{^}{y}$ and the magnetic field is $\overset{\to}{B} = \dfrac{1}{\sqrt{2}}{B}_{yz}\left(x, t\right)\overset{^}{z}$
CFor an electromagnetic wave propagating in + x direction the electric field is $\overset{\to}{E} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(y, z, t\right)\left(\overset{^}{y} + \overset{^}{z}\right)$ and the magnetic field is $\overset{\to}{B} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(y, z, t\right)\left(\overset{^}{y} + \overset{^}{z}\right)$
DFor an electromagnetic wave propagating in + x direction the electric field is $\overset{\to}{E} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(x, t\right)\left(\overset{^}{y} - \overset{^}{z}\right)$ and the magnetic field is $\overset{\to}{B} = \dfrac{1}{\sqrt{2}}{B}_{yz}\left(x, t\right)\left(\overset{^}{y} + \overset{^}{z}\right)$

Correct answer

D. For an electromagnetic wave propagating in + x direction the electric field is $\overset{\to}{E} = \dfrac{1}{\sqrt{2}}{E}_{yz}\left(x, t\right)\left(\overset{^}{y} - \overset{^}{z}\right)$ and the magnetic field is $\overset{\to}{B} = \dfrac{1}{\sqrt{2}}{B}_{yz}\left(x, t\right)\left(\overset{^}{y} + \overset{^}{z}\right)$

Step-by-step solution

Wave in x - direction means $\overset{\to}{E}$ and $\overset{\to}{B}$ should be function of x and t

\left(\overset{^}{y} - \overset{^}{z}\right) ⊥ \left(\overset{^}{y} + \overset{^}{z}\right)

\left(\overset{\to}{E} \times \overset{\to}{B}\right) | | \overset{^}{x}

Practice Electromagnetic Waves on Quantrex Academy →

More from Electromagnetic Waves

The electric field associated with an electromagnetic wave travelling in vacuum is given… JEE Advanced 2026 A monochromatic source of light operating at 15 kW emits 2.5× 10^ 22 photons/s. The… JEE Main 2026 For an electromagnetic wave propagating through vacuum, k , E and ω represent propagation… JEE Main 2026 A point light source emits E.M. waves in free space. A detector, placed at a distance of… JEE Main 2026 A displacement current of 4.0 A can be set up in the space between two parallel plates of… JEE Main 2026 A magnetic field vector in an electromagnetic wave is represented by B =B_0 (2π vt-(2π… JEE Main 2026 An electromagnetic wave travels in free space along the x -direction. At a particular… JEE Main 2026 An electromagnetic wave travelling in x -direction is described by field equation E_y =… JEE Main 2026 Full Electromagnetic Waves list All JEE Main PYQs