If a source is transmitting electromagnetic wave of frequency `5.2xx10^(6)Hz`, then wavelength of the electromagnetic waves transmitted from the source will be

Options

A. 57.6 m
B. 39.8 m
C. 94.8 m
D. 48.6 m

Explanation

To find the wavelength of the electromagnetic waves transmitted from the source, we can use the formula that relates wavelength (λ), frequency (ν), and the speed of light (c):

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

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Frequency (ν) = \(5.2 \times 10^6 \, \text{Hz}\)
- Speed of light (c) = \(3 \times 10^8 \, \text{m/s}\)

2. **Substitute the Values into the Formula**:
\[ \lambda = \frac{3 \times 10^8 \, \text{m/s}}{5.2 \times 10^6 \, \text{Hz}} \]

3. **Perform the Division**:
- Calculate the division:
\[ \lambda = \frac{3 \times 10^8}{5.2 \times 10^6} \]

4. **Simplify the Calculation**:
- First, divide the numerical parts:
\[ \frac{3}{5.2} \approx 0.5769 \]
- Then, divide the powers of ten:
\[ \frac{10^8}{10^6} = 10^{8-6} = 10^2 \]
- Combine these results:
\[ \lambda \approx 0.5769 \times 10^2 \, \text{m} = 57.69 \, \text{m} \]

5. **Final Result**:
- The wavelength of the electromagnetic waves transmitted from the source is approximately:
\[ \lambda \approx 57.69 \, \text{m} \]

### Final Answer:
The wavelength of the electromagnetic waves is approximately **57.69 meters**.