The wavelength of the radiowaves transmitted by a broadcasting station is 422.54m. What is the frequency of the wave? Velocity of the wave `=3 xx 10^(8) ms^(-1)`.

Answer

To find the frequency of the radio waves transmitted by the broadcasting station, we can use the relationship between velocity (V), frequency (f), and wavelength (λ). The formula is given by:

\[ V = f \times \lambda \]

Where:
- \( V \) is the velocity of the wave,
- \( f \) is the frequency of the wave,
- \( \lambda \) is the wavelength of the wave.

### Step-by-Step Solution:

1. **Identify the given values**:
- Wavelength \( \lambda = 422.54 \, m \)
- Velocity \( V = 3 \times 10^8 \, m/s \)

2. **Rearrange the formula to solve for frequency**:
\[ f = \frac{V}{\lambda} \]

3. **Substitute the known values into the equation**:
\[ f = \frac{3 \times 10^8 \, m/s}{422.54 \, m} \]

4. **Perform the calculation**:
- First, calculate the division:
\[ f = \frac{3 \times 10^8}{422.54} \]
- Using a calculator, we find:
\[ f \approx 710,000 \, Hz \]

5. **Convert the frequency to kilohertz (kHz)**:
- Since \( 1 \, kHz = 1000 \, Hz \):
\[ f \approx 710 \, kHz \]

### Final Answer:
The frequency of the wave is approximately **710 kHz**.

---