How are wavelength and frequency related?

• A. They are completely independent
• B. They are inversely related
• C. They are directly related
• D. They vary randomly

Answer: (B)

Wavelength and frequency are related by the equation that describes wave behavior: the speed of light (or any wave) equals the product of its wavelength and frequency. In the context of electromagnetic radiation, this relationship is articulated as:

[ c = \lambda \cdot f ]

Where ( c ) represents the speed of light, ( \lambda ) (lambda) represents wavelength, and ( f ) symbolizes frequency.

From this equation, if the speed of light is constant, an increase in wavelength results in a decrease in frequency, and vice versa. This inverse relationship means as one value increases, the other must decrease to maintain the equality established by the equation. Therefore, the correct understanding that wavelength and frequency are inversely related helps in various applications in radiography, such as understanding how different wavelengths can affect imaging results. Understanding this fundamental relationship is essential for concepts like how x-rays and gamma rays, which have very short wavelengths, correspond to high frequencies, and thus higher energy levels, compared to radio waves, which have long wavelengths and low frequencies.