How long is one-quarter wavelength at each of the frequency of 1 MHz, 10 MHz, 2.8 MHz, 54 MHz?
c=f*lambda, or the speed of light =the frequency x the wavelength.
Solve for wavelength, and remember to divide by 4 for a quarter.
To calculate the length of one-quarter wavelength at a given frequency, you can use the following formula:
Wavelength = Speed of Light / Frequency
The speed of light, denoted by "c", is approximately 299,792,458 meters per second.
Let's calculate the lengths for the frequencies you provided:
1. For a frequency of 1 MHz:
Wavelength = 299,792,458 meters per second / 1,000,000 Hz = 299.8 meters
2. For a frequency of 10 MHz:
Wavelength = 299,792,458 meters per second / 10,000,000 Hz = 29.98 meters
3. For a frequency of 2.8 MHz:
Wavelength = 299,792,458 meters per second / 2,800,000 Hz = 107.07 meters
4. For a frequency of 54 MHz:
Wavelength = 299,792,458 meters per second / 54,000,000 Hz = 5.55 meters
Therefore, the lengths of one-quarter wavelength at the frequencies of 1 MHz, 10 MHz, 2.8 MHz, and 54 MHz are approximately 300 m, 30 m, 107 m, and 5.6 m respectively.