a radio station transmits waves of wavelenght 200m. if the sounf of me is 3x10⁸m/s and the frequency of the radio station.

To find the frequency of the radio station, we can use the wave equation:

\[
\text{Speed of wave} = \text{Wavelength} \times \text{Frequency}
\]

Here, we are given:
- Wavelength, \(\lambda = 200\) meters
- Speed of the wave (which is the speed of light for radio waves), \(v = 3 \times 10^8\) meters per second

We need to find the frequency \(f\). The formula rearranges to:

\[
f = \frac{v}{\lambda}
\]

Substituting the values:

\[
f = \frac{3 \times 10^8 \text{ m/s}}{200 \text{ m}}
\]

Now, let's calculate that.

\[
f = \frac{3 \times 10^8}{200} = 1.5 \times 10^6 \text{ Hz}
\]

So, the frequency of the radio station is \(1.5 \times 10^6\) Hz, or 1.5 MHz.

Would you like more details or have any questions?

### Related Questions:
1. How do radio waves differ from sound waves?
2. What are the typical frequency ranges for AM and FM radio stations?
3. How does the wavelength of a wave affect its energy?
4. What is the relationship between frequency and wavelength in the electromagnetic spectrum?
5. How do antennas work to transmit and receive radio waves?

**Tip:** The frequency of a wave determines its position in the electromagnetic spectrum, with higher frequencies corresponding to shorter wavelengths.

A radio station transmits waves of wavelength 200m. If the speed of the wave is 3x10^8 m/s, find the frequency of the radio station.

Learn how to calculate the frequency of a radio station transmitting waves with a wavelength of 200 meters and a speed of 3x10^8 m/s using the wave equation. This problem covers key concepts in physics and is suitable for students in Grades 9-12.

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