In the context of light, which equation relates speed, frequency, and wavelength?

• A. v = fλ
• B. v = λ/f
• C. v = f + λ
• D. v = f - λ

Answer: (A)

The equation that relates speed, frequency, and wavelength in the context of light is ( v = f\lambda ). In this equation, ( v ) represents the speed of light, ( f ) symbolizes the frequency of the light wave, and ( \lambda ) (lambda) denotes the wavelength.

This relationship reflects how these three parameters are interconnected. The speed of light is constant in a vacuum, so when you increase the frequency of the light wave, the wavelength must decrease in order to keep the speed constant, and vice versa. This inverse relationship is fundamental to understanding wave properties.

The other options do not correctly represent the relationships between these variables. The second choice implies a different formulation that does not align with the correct relationships, while the last two options incorrectly suggest operations like addition or subtraction, which do not relate these three quantities in the context of wave mechanics. Understanding this equation is essential for calculations involving electromagnetic radiation, including visible light.