If a source is transmitting electro magnetic waves of frequency `8.196 xx 10^(6)` Hz, then the wavelength of the electromagnetic waves transmitted from the source will be

Options

A. 5090 cm
B. 4050 cm
C. 4230 cm
D. 3660 cm

Explanation

To find the wavelength of the electromagnetic waves transmitted from the source, we can use the relationship between the speed of light (c), frequency (ν), and wavelength (λ). The formula is given by:

\[ \lambda = \frac{c}{\nu} \]

### Step-by-step Solution:

1. **Identify the given data**:
- Frequency (ν) = \(8.196 \times 10^6\) Hz
- Speed of light (c) = \(3 \times 10^8\) m/s

2. **Substitute the values into the formula**:
\[ \lambda = \frac{c}{\nu} = \frac{3 \times 10^8 \text{ m/s}}{8.196 \times 10^6 \text{ Hz}} \]

3. **Perform the calculation**:
- First, divide \(3 \times 10^8\) by \(8.196 \times 10^6\):
\[ \lambda = \frac{3 \times 10^8}{8.196 \times 10^6} \]

- Calculate the division:
\[ \lambda \approx 36.6 \text{ m} \]

4. **Final result**:
- The wavelength of the electromagnetic waves transmitted from the source is approximately \(36.6\) meters.

### Final Answer:
\[ \lambda \approx 36.6 \text{ m} \]