MCQEasyJEE 2025Characteristics of EM Waves

JEE Physics 2025 Question with Solution

A plane electromagnetic wave propagates along the +x+x direction in free space. The components of the electric field E\vec{E} and magnetic field B\vec{B} vectors associated with the wave in Cartesian frame are:

  • A

    Ex,BxE_x, B_x

  • B

    Ey,BzE_y, B_z

  • C

    Ez,ByE_z, B_y

  • D

    Ex,ByE_x, B_y

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: A plane electromagnetic wave propagates along the +x+x direction in free space.

Find: The correct components of E\vec{E} and B\vec{B} in the Cartesian frame.

In an electromagnetic wave, the electric field, magnetic field, and direction of propagation are mutually perpendicular to each other.

Since the wave propagates along the xx-axis, both E\vec{E} and B\vec{B} must lie in the plane perpendicular to the xx-axis.

For the stated orientation,

E is along the y-axis, and B is along the z-axis\vec{E} \text{ is along the } y\text{-axis, and } \vec{B} \text{ is along the } z\text{-axis}

Hence, the correct field components are EyE_y and BzB_z.

Therefore, the correct option is B.

Using Mutual Perpendicularity

Given: The direction of propagation is +x+x.

Find: Which pair of field components can represent the electric and magnetic fields.

A plane electromagnetic wave satisfies the perpendicular relation among three directions:

  • direction of propagation
  • electric field direction
  • magnetic field direction

Because propagation is along +x+x, neither field can have an xx-component in the required pair.

So options containing ExE_x or BxB_x are not suitable. The remaining consistent transverse arrangement is EyE_y with BzB_z.

Therefore, the correct answer is Ey,BzE_y, B_z, which corresponds to option B.

Common mistakes

  • Choosing components containing ExE_x or BxB_x. This is wrong because electromagnetic waves are transverse in free space, so both fields are perpendicular to the direction of propagation. Instead, choose field components only along directions perpendicular to xx.

  • Assuming any two perpendicular components are acceptable without checking the propagation direction. This is wrong because the field directions must be perpendicular to each other and to the direction of motion. First fix propagation along +x+x, then assign transverse components.

Practice more Characteristics of EM Waves questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions