In an electromagnetic wave, electric field E and magnetic field B are

Options

A. Mutually perpendicular to each other
B. bisect to each other
C. both (A) and (B)
D. none of these

Explanation

To answer the question regarding the relationship between the electric field (E) and magnetic field (B) in an electromagnetic wave, we can break down the explanation step by step.

### Step-by-Step Solution:

1. **Understanding Electromagnetic Waves**:
Electromagnetic waves consist of oscillating electric and magnetic fields that propagate through space. These waves travel at the speed of light.

2. **Direction of Propagation**:
Let's assume the electromagnetic wave is propagating in the positive x-direction. This is our reference for understanding the orientation of the fields.

3. **Orientation of Electric Field (E)**:
The electric field (E) oscillates in a direction that is perpendicular to the direction of wave propagation. If the wave is propagating in the x-direction, the electric field can oscillate in the y-direction.

4. **Orientation of Magnetic Field (B)**:
Similarly, the magnetic field (B) also oscillates in a direction that is perpendicular to both the direction of wave propagation and the electric field. Therefore, if the electric field is oscillating in the y-direction, the magnetic field will oscillate in the z-direction.

5. **Mutual Perpendicularity**:
Thus, in an electromagnetic wave:
- The electric field (E) is perpendicular to the magnetic field (B).
- Both fields are also perpendicular to the direction of wave propagation.

6. **Oscillation and Bisection**:
Both the electric and magnetic fields oscillate sinusoidally and reach their maximum and minimum values simultaneously. This means they bisect each other in terms of their oscillation phases.

7. **Conclusion**:
Therefore, the electric field and magnetic field in an electromagnetic wave are mutually perpendicular to each other and also bisect each other. The correct answer to the question is that both options A and B are correct, leading to option C being the right choice.

### Final Answer:
In an electromagnetic wave, the electric field (E) and magnetic field (B) are mutually perpendicular to each other and they bisect each other. Thus, the correct answer is option C: both A and B are correct.

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