What is the relationship between frequency, wavelength, and speed of a wave in physics?

The relationship between frequency, wavelength, and speed of a wave is described by the formula:

c = \lambda\nu

where c represents the speed of the wave, \lambda represents the wavelength and \nu represents the frequency.

This means that as the frequency of a wave increases, its wavelength decreases, assuming its speed remains constant. Conversely, as the frequency decreases, its wavelength increases, again assuming its speed remains constant. Similarly, as the speed of a wave increases, assuming its frequency is constant, its wavelength also increases. Conversely, as the speed of a wave decreases, assuming its frequency is constant, its wavelength also decreases.

This relationship between frequency, wavelength, and speed is fundamental in the study of physics and allows us to make predictions about how waves will behave in various media and under different conditions.

The relationship between frequency, wavelength, and speed of a wave in physics is given by the equation:

v = f λ

where:

• v is the speed of the wave
• f is the frequency of the wave
• λ is the wavelength of the wave

In other words, the speed of a wave is equal to the product of its frequency and wavelength.

• Frequency is the number of waves that pass a point in a given amount of time. It is measured in hertz (Hz), which is equal to cycles per second.
• Wavelength is the distance between two consecutive crests (or troughs) of a wave. It is measured in meters.
• Speed is the distance that a wave travels in a given amount of time. It is measured in meters per second (m/s).

For example, if a wave has a frequency of 10 Hz and a wavelength of 1 meter, then its speed is:

v = f λ = 10 Hz × 1 m = 10 m/s

This means that the wave will travel 10 meters in one second.

The relationship between frequency, wavelength, and speed of a wave is a fundamental property of waves. It is used in many different applications, such as sound, light, and water waves.