The ratio of amplitude `B_(0) and E_(0)` of the magnetic electric fields associated with an electromagnetic wave is

Options

A. `(1)/(c)`
B. c
C. `c^(2)`
D. `(1)/(c^(2))`

Answer

To find the ratio of the amplitudes \( B_0 \) and \( E_0 \) of the magnetic and electric fields associated with an electromagnetic wave, we can use the relationship between the speed of light \( c \), the electric field \( E \), and the magnetic field \( B \).

### Step-by-Step Solution:

1. **Understand the Relationship**: The speed of light \( c \) in a vacuum is given by the relationship:
\[ c = \frac{E_0}{B_0} \]
where \( E_0 \) is the amplitude of the electric field and \( B_0 \) is the amplitude of the magnetic field.

2. **Rearranging the Equation**: We can rearrange this equation to express the ratio of \( B_0 \) to \( E_0 \):
\[ \frac{E_0}{B_0} = c \implies \frac{B_0}{E_0} = \frac{1}{c} \]

3. **Conclusion**: The ratio of the amplitude of the magnetic field \( B_0 \) to the amplitude of the electric field \( E_0 \) is:
\[ \frac{B_0}{E_0} = \frac{1}{c} \]

4. **Final Answer**: Therefore, the correct option is:
\[ \text{Option 1: } \frac{1}{c} \]