To determine the velocity of a wave using its wavelength, frequency, and period, you can use the following equation:
Velocity (v) = Wavelength (λ) × Frequency (f)
The equation above relates the velocity of a wave to its wavelength and frequency. The wavelength (λ) represents the distance between two consecutive points in a wave that are in phase (e.g., crest to crest or trough to trough). The frequency (f) represents the number of complete oscillations or cycles of the wave that occur per unit of time. The velocity (v) represents the speed at which the wave propagates through a medium.
Additionally, the period (T) of a wave is the time it takes for one complete cycle or oscillation to occur. It is the reciprocal of the frequency, which means:
Period (T) = 1 / Frequency (f)
Using this relationship, you can rewrite the equation for velocity as:
Velocity (v) = Wavelength (λ) / Period (T)
So, you can determine the velocity of a wave by dividing its wavelength by its period. Alternatively, you can multiply the wavelength by the frequency to find the velocity. Both equations are valid and will give you the same result.