What is the relationship between wavelength and frequency in a wave?

The relationship between wavelength and frequency in a wave is indeed inversely proportional. This means that as the wavelength of a wave increases, the frequency decreases, and vice versa. This inverse relationship can be expressed mathematically by the equation ( c = \lambda \times f ), where ( c ) is the speed of light in a vacuum, ( \lambda ) (lambda) represents the wavelength, and ( f ) stands for the frequency.

Since the speed of light is a constant, if the wavelength (the distance between consecutive peaks of a wave) increases, the frequency (the number of waves that pass a point per second) must decrease so that the product of the two remains constant. This fundamental principle is crucial in understanding wave behavior across various types of waves, including sound and electromagnetic waves.