Final answer:
The wavelength of a radio broadcast at a frequency of 93.5 kHz is 3,208,556.149 nm, calculated using the wave equation relating wavelength, frequency, and the speed of light.
Step-by-step explanation:
The student is asking to calculate the wavelength of a radio broadcast from Jack FM operating at a frequency of 93.5 kHz. To find the wavelength in nanometers (nm), we can use the wave equation which relates wavelength (λ), frequency (f), and the speed of light (c): λ = c / f. The speed of light c is approximately 3 x 108 m/s. First, convert 93.5 kHz to hertz (Hz) by multiplying by 1,000, which gives 93,500 Hz. Then, convert the speed of light to nm/s by multiplying by 1 x 109, which yields 3 x 1017 nm/s. Now, calculate the wavelength: λ = (3 x 1017 nm/s) / (93,500 Hz) = 3,208,556.149 nm.