The correct descriptions of the relationship between wavelength and energy are:
A. As the wavelength increases, the energy decreases.
D. Gamma rays have a small wavelength and a large amount of energy.
This reflects the inverse relationship between wavelength and energy in electromagnetic radiation, where shorter wavelengths correspond to higher energies (e.g., gamma rays) and longer wavelengths correspond to lower energies (e.g., radio waves).
The incorrect options are:
B. As the wavelength increases, the energy increases. (This is false; energy decreases as wavelength increases.)
C. As the wavelength decreases, the energy decreases. (This is false; energy increases as wavelength decreases.)
E. Gamma rays have a large wavelength and a small amount of energy. (This is false; gamma rays have a small wavelength and high energy.)
F. Radio waves have a small wavelength and a large amount of energy. (This is false; radio waves have a large wavelength and low energy.)