The AM band of radio waves are measured in kilohertz (kHz), which are the numbers you see on the AM radio dial. Therefore, a radio station at 610 on the AM dial has a frequency of 610 kHz or 610,500 Hz. What is the wavelength of the radio station that has a frequency of 1100 kHz on the AM dial? The units for the answer are meters. The error interval is 5%.
See your previous post.
c = fw
Substitute and solve for w. I assume the error interval is what you are allowed and still get credit for the answer. It must be a data base you are using to key in the answer.
λ = c/f
λ = (3e8)/(1.1e6)
λ = 2.7e2 m
To calculate the wavelength of a radio station, you can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light is approximately 299,792,458 meters per second. However, we need to take into account the error interval of 5% provided, which means the actual speed of light could be slightly different. To account for this, we can multiply the speed of light by a factor of 0.95 to get the lower end of the possible range.
Therefore, the lower end of the speed of light is approximately 299,792,458 * 0.95 = 284,802,835.1 meters per second.
Now, we can plug in the frequency of 1100 kHz (or 1,100,000 Hz) into the formula to calculate the wavelength:
Wavelength = 284,802,835.1 / 1,100,000
Wavelength ≈ 258.92 meters
So, the wavelength of the radio station with a frequency of 1100 kHz on the AM dial is approximately 258.92 meters.