Final answer:
The wavelength of 100-MHz radio waves used in an MRI unit is 3 meters. If the frequencies are swept over a ±1.00 MHz range, the range of wavelengths broadcast would be approximately between 2.97 m and 3.03 m.
Step-by-step explanation:
The wavelength of 100-MHz radio waves used in an MRI unit is 3 meters (m). This wavelength is derived from the relationship between the speed of light, frequency, and wavelength given by the equation λ = c/f, where λ is the wavelength, c is the speed of light (approximately 3×108 m/s), and f is the frequency. For 100 MHz, or 100×106 Hz, the calculation is 3×108 m/s divided by 100×106 Hz, which equals 3 meters.
When the frequencies are swept over a ±1.00 MHz range centered on 100 MHz, this would change the frequency to 99 MHz and 101 MHz, which would in turn change the wavelengths slightly. To find the range of wavelengths broadcast, we use the same formula. The highest frequency of 101 MHz would have a wavelength of approximately 2.97 m, and the lowest frequency of 99 MHz would have a wavelength of approximately 3.03 m.