The velocity of electromagnetic wave is along the direction of

Options

A. `BxxE`
B. `ExxB`
C. `E`
D. `B`

Answer

To determine the direction of the velocity of an electromagnetic wave, we can follow these steps:

### Step 1: Understand the Components of Electromagnetic Waves
Electromagnetic waves consist of oscillating electric fields (E) and magnetic fields (B) that are perpendicular to each other and to the direction of wave propagation.

### Step 2: Set Up the Coordinate System
Let's set up a coordinate system:
- Assume the electric field (E) oscillates along the z-axis.
- Assume the magnetic field (B) oscillates along the y-axis.

### Step 3: Identify the Direction of Propagation
According to the right-hand rule, the direction of the wave propagation (velocity, V) can be determined by the cross product of the electric field (E) and the magnetic field (B).

### Step 4: Apply the Right-Hand Rule
Using the right-hand rule:
- Point your fingers in the direction of E (along the z-axis).
- Curl your fingers towards B (along the y-axis).
- Your thumb will point in the direction of V (the direction of wave propagation), which will be along the x-axis.

### Step 5: Determine the Cross Product
From the right-hand rule:
- The cross product \( \mathbf{E} \times \mathbf{B} \) gives the direction of the velocity of the electromagnetic wave.
- Therefore, the velocity of the electromagnetic wave is in the direction of \( \mathbf{E} \times \mathbf{B} \).

### Conclusion
The velocity of the electromagnetic wave is along the direction of \( \mathbf{E} \times \mathbf{B} \).

### Final Answer
The correct option is \( \mathbf{E} \times \mathbf{B} \).

---