What is the relationship between wavelength and frequency for radio waves compared to gamma rays?

The relationship between wavelength and frequency is fundamental to understanding electromagnetic waves, including radio waves and gamma rays. According to the electromagnetic spectrum, radio waves have significantly longer wavelengths compared to gamma rays, which are at the opposite end of the spectrum with much shorter wavelengths.

The frequency of electromagnetic waves is inversely proportional to their wavelength, described by the equation:

[ v = f \lambda ]

where ( v ) is the speed of light, ( f ) is frequency, and ( \lambda ) is wavelength. Because radio waves have longer wavelengths, their frequencies must be lower than those of gamma rays. Gamma rays, having much shorter wavelengths, are associated with higher frequencies.

Thus, the relationship illustrated in the statement indicates that radio waves have longer wavelengths and correspondingly lower frequencies compared to gamma rays, aligning correctly with established physics principles.