What equation represents the relationship between frequency, wavelength, and speed of light?

What equation represents the relationship between frequency, wavelength, and speed of light?

• A. c = λ + f
• B. c = λ - f
• C. c = λ * f
• D. c = λ / f

Answer: (C)

The correct relationship among frequency, wavelength, and the speed of light is represented by the equation \( c = \lambda f \). In this equation, \( c \) denotes the speed of light in a vacuum, \( \lambda \) (lambda) represents the wavelength of the light, and \( f \) stands for the frequency. This equation illustrates that the speed of light is the product of its wavelength and frequency. As frequency increases, the wavelength decreases, while their product remains constant, which is the speed of light. This principle is fundamental in understanding how light behaves in various media and how its properties are interlinked. The other options do not accurately describe the relationship between wavelength, frequency, and the speed of light. For instance, adding or subtracting frequency from wavelength does not convey any meaningful physical relationship, which is why those expressions are not valid. The multiplication of wavelength and frequency reflects the physical nature of light propagation, making the chosen equation both mathematically and conceptually correct.

The correct relationship among frequency, wavelength, and the speed of light is represented by the equation ( c = \lambda f ). In this equation, ( c ) denotes the speed of light in a vacuum, ( \lambda ) (lambda) represents the wavelength of the light, and ( f ) stands for the frequency.

This equation illustrates that the speed of light is the product of its wavelength and frequency. As frequency increases, the wavelength decreases, while their product remains constant, which is the speed of light. This principle is fundamental in understanding how light behaves in various media and how its properties are interlinked.

The other options do not accurately describe the relationship between wavelength, frequency, and the speed of light. For instance, adding or subtracting frequency from wavelength does not convey any meaningful physical relationship, which is why those expressions are not valid. The multiplication of wavelength and frequency reflects the physical nature of light propagation, making the chosen equation both mathematically and conceptually correct.