The relationship between wavelength, time period, and frequency in a wave is given by the wave equation:
v = λf
where:
- v represents the velocity or speed of the wave
- λ (lambda) represents the wavelength of the wave
- f represents the frequency of the wave
The time period (T) of a wave is the time it takes for one complete cycle of the wave to pass a given point. It is the reciprocal of the frequency:
T = 1/f
From the wave equation, we can rearrange the equation to solve for the wavelength:
λ = v/f
In summary, the wavelength (λ) is equal to the speed of the wave (v) divided by the frequency (f). The time period (T) is equal to the reciprocal of the frequency (1/f).