\frac{300,000,000\ \frac{m}{s}}{1102\ Hz}

To simplify the expression:

\[
\frac{300,000,000\ \frac{m}{s}}{1102\ \text{Hz}}
\]

This is dividing a speed by a frequency (where Hz, or hertz, represents cycles per second). The resulting unit will be meters per cycle (m/cycle), which can be interpreted as the wavelength of a wave with the given frequency and speed.

Now, let's calculate:

\[
\frac{300,000,000\ \frac{m}{s}}{1102\ \text{Hz}} \approx 272,232.3\ \text{m/cycle}
\]

The wavelength is approximately **272,232.3 meters per cycle**.

Would you like further clarification on wave properties, or do you have any questions?

Here are some related questions:
1. What is the relationship between wavelength, frequency, and the speed of a wave?
2. How do you calculate the wavelength of sound waves in different media?
3. How does the frequency affect the wavelength of electromagnetic waves?
4. What are practical examples of wavelengths in everyday scenarios (e.g., light, sound)?
5. How can we measure the frequency of waves in physics?

**Tip:** The product of wavelength and frequency always equals the wave speed in any medium.

Learn how to calculate the wavelength of a wave using the formula λ = v / f. In this problem, a speed of 300,000,000 m/s and a frequency of 1102 Hz results in a wavelength of approximately 272,232.3 meters per cycle. This is ideal for students studying wave physics in Grades 9-12.

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