Which of the following is true regarding frequency and wavelength of electromagnetic radiation?

The relationship between wavelength and frequency of electromagnetic radiation is defined by the equation:

[ c = \lambda \cdot f ]

where ( c ) is the speed of light, ( \lambda ) is the wavelength, and ( f ) is the frequency. This equation shows that the speed of light is constant, meaning that if the wavelength increases, the frequency must decrease to keep the product equal to the speed of light, and vice versa. This establishes an inverse relationship between wavelength and frequency; as one rises, the other falls.

Thus, wavelength and frequency are inversely proportional, confirming that if electromagnetic radiation has a longer wavelength, it corresponds to a lower frequency, and shorter wavelengths correspond to higher frequencies. This principle is fundamental in understanding how different types of electromagnetic radiation, such as radio waves, visible light, and gamma rays, differ from each other in terms of their energy and properties.