To find the wavelength of the radio waves, we can use the relationship between the speed of a wave, its frequency, and its wavelength, which is given by the formula:
\[ v = f \lambda \]
Where:
- \( v \) is the speed of the wave,
- \( f \) is the frequency of the wave,
- \( \lambda \) is the wavelength of the wave.
We can rearrange this formula to solve for the wavelength \( \lambda \):
\[ \lambda = \frac{v}{f} \]
Given:
- Frequency \( f = 9.23 \times 10^7 \) Hz
- Speed of the wave \( v = 3.00 \times 10^8 \) m/s
Now, substitute the values into the equation:
\[ \lambda = \frac{3.00 \times 10^8 , \text{m/s}}{9.23 \times 10^7 , \text{Hz}} \]
Calculating this gives:
\[ \lambda = \frac{3.00 \times 10^8}{9.23 \times 10^7} \approx 3.25 , \text{m} \]
Therefore, the wavelength of the waves is:
\[ \lambda \approx 3.25 , \text{m} \]
The answer is 3.25 m.
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