What is the relationship between energy and wavelength in the context of UV radiation generation?

• A. Energy and wavelength are directly proportional.
• B. Energy decreases as wavelength increases.
• C. Energy remains constant regardless of wavelength.
• D. Energy increases as wavelength increases.

Answer: (B)

In the context of UV radiation generation, the relationship between energy and wavelength is inversely proportional. This means that as the wavelength of radiation increases, the energy of the photons decreases. This relationship can be described mathematically by the equation ( E = \frac{hc}{\lambda} ), where ( E ) is energy, ( h ) is Planck's constant, ( c ) is the speed of light, and ( \lambda ) is the wavelength. As the wavelength (( \lambda )) increases, the energy (( E )) calculated from this equation clearly decreases.

In the context of UV radiation specifically, it is well understood that UV light has shorter wavelengths than visible light, and thus, it carries more energy compared to longer wavelengths (such as infrared radiation). This understanding helps in numerous fields, including photochemistry and environmental science, where the effects of UV radiation on biological systems are significant.

The other answer choices present incorrect relationships:

• Direct proportionality would suggest that both energy and wavelength increase together, which contradicts the fundamental principles of wave-particle duality.

• Energy remaining constant regardless of wavelength fails to account for the fundamental relationship dictated by the aforementioned equation.

• Suggesting that energy increases as wavelength