Final answer:
The frequency of an 11.12-m-wavelength channel can be found by dividing the speed of light (2.998 × 10^8 m/s) by the wavelength (11.12 m), which corresponds to option d in the given choices. After calculation, the frequency in Hz determines the operating frequency of the radio station. Option d) 2.998 x 108 m/s / 11.12 is the correct answer.
Step-by-step explanation:
Calculating Radio Wave Frequency
To determine the frequency of an 11.12-m-wavelength channel used by a radio station that utilizes frequencies between commercial AM and FM, we can use the formula for the speed of a wave, which is given by the speed of light (c) divided by the wavelength (λ). Therefore, the frequency (f) is calculated as f = c / λ. Given that the speed of light c is approximately 2.998 × 108 m/s, and the wavelength λ is 11.12 m, the frequency is obtained by dividing the speed of light by the wavelength: f = 2.998 × 108 m/s / 11.12 m. Simplifying, we get the frequency of the channel.
The correct option to find the frequency is 2.998 × 108 m/s / 11.12 m, which is option d. After calculation, you can find the exact frequency in Hz which would allow us to know on which frequency the radio station operates. Remember, FM radio frequencies are typically given in MHz.
Calculating the frequencies for radio waves helps to understand their behavior and the radio transmission process. Choosing the correct frequency for a channel is essential for broadcasting and communication.