What is the relationship between frequency and wavelength?

What is the relationship between frequency and wavelength?

• A. Direct
• B. Inverse
• C. Proportional
• D. Exponential

Answer: (B)

The relationship between frequency and wavelength is described as inversely proportional. In the context of electromagnetic radiation, this means that as the frequency of a wave increases, the wavelength decreases, and vice versa. This relationship can be mathematically represented by the equation: \[ c = f \cdot \lambda \] where \( c \) is the speed of light, \( f \) is the frequency, and \( \lambda \) is the wavelength. Since the speed of light is a constant, if frequency (\( f \)) increases, then the wavelength (\( \lambda \)) must decrease to maintain the equation, illustrating the inverse relationship. This fundamental principle applies across all types of electromagnetic radiation, including radio waves, microwaves, visible light, and X-rays, making it crucial for understanding various concepts in radiology and physics.

The relationship between frequency and wavelength is described as inversely proportional. In the context of electromagnetic radiation, this means that as the frequency of a wave increases, the wavelength decreases, and vice versa. This relationship can be mathematically represented by the equation:

[ c = f \cdot \lambda ]

where ( c ) is the speed of light, ( f ) is the frequency, and ( \lambda ) is the wavelength. Since the speed of light is a constant, if frequency (( f )) increases, then the wavelength (( \lambda )) must decrease to maintain the equation, illustrating the inverse relationship.

This fundamental principle applies across all types of electromagnetic radiation, including radio waves, microwaves, visible light, and X-rays, making it crucial for understanding various concepts in radiology and physics.