If the directions of electric and magnetic field vectors of a plane electromagnetic wave are along positive y- direction and positive z-direction respectively , then the direction of propagation of the wave is along

Options

A. Positive z - direction
B. Negative z - direction
C. Negative y - direction
D. Positive x - direction

Answer

To determine the direction of propagation of the electromagnetic wave given the directions of the electric field and magnetic field vectors, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Directions**:
- The electric field vector (E) is along the positive y-direction.
- The magnetic field vector (B) is along the positive z-direction.

2. **Understand the Perpendicular Relationship**:
- In an electromagnetic wave, the electric field, magnetic field, and direction of propagation (k) are mutually perpendicular to each other. This means that if you have the electric field in one direction and the magnetic field in another, the direction of propagation will be perpendicular to both.

3. **Use the Right-Hand Rule**:
- To find the direction of propagation, we can use the right-hand rule. Point your fingers in the direction of the electric field (E), curl them towards the direction of the magnetic field (B), and your thumb will point in the direction of propagation (k).

4. **Apply the Right-Hand Rule**:
- Here, if you point your fingers in the positive y-direction (E), and curl them towards the positive z-direction (B), your thumb will point in the positive x-direction.

5. **Conclusion**:
- Therefore, the direction of propagation of the wave is along the positive x-direction.

### Final Answer:
The direction of propagation of the wave is along the positive x-direction.

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