Final answer:
To find the frequency of a radio station channel with an 11.12-m-wavelength, the speed of light is divided by the wavelength to yield a frequency of approximately 27 MHz, which is typically found in the Citizen Band (CB) radio frequencies.
Step-by-step explanation:
The frequency of a radio wave can be calculated using the speed of light and the wavelength of the signal. The formula for this calculation is:
f = c / λ
Where:
- f is the frequency
- c is the speed of light in a vacuum, approximately 3.00 × 108 meters per second
- λ is the wavelength
Given the wavelength (λ) of 11.12 meters, we can find the frequency (f) by rearranging the equation:
f = 3.00 × 108 m/s / 11.12 m
This gives us a frequency of approximately:
f = 26.978 m/s which can be rounded to 27 MHz when considering significant figures.
Therefore, a radio station with an 11.12-m-wavelength channel would be utilizing a frequency of 27 MHz, which is commonly used in the Citizen Band (CB) radio frequencies, placed between commercial AM and FM allocations.