How does increasing the frequency of light affect its wavelength?

• A. The wavelength increases
• B. The wavelength decreases
• C. The wavelength remains constant
• D. The wavelength fluctuates

Answer: (B)

Increasing the frequency of light leads to a decrease in its wavelength due to the inverse relationship encapsulated in the equation ( c = f \lambda ), where ( c ) is the speed of light, ( f ) is the frequency, and ( \lambda ) is the wavelength. When the frequency increases, to maintain the constant speed of light, the wavelength must decrease. This principle is fundamental in understanding light properties, as higher frequency light corresponds to shorter wavelengths, which is evident when considering the electromagnetic spectrum—where, for instance, ultraviolet light has a higher frequency and shorter wavelength compared to visible light. This relationship helps explain various phenomena, such as the different behaviors of light across the spectrum and their interactions with matter.