if V is the velocity of a wave, it'd wave length and T it'd period, the V, d and T are related by the expression?
To answer your question, velocity, wave length and period are related by the expression:
v = λ x (1/T)
This follows from the equation v = λ x f. Period and frequency are inversely proportional (f = 1/T).
d = V * T.
d = wavelength.
T = 1/F.
The velocity (V), wavelength (λ), and period (T) of a wave are related by the expression:
V = λ / T
This equation is known as the wave equation. It relates the velocity of a wave to its wavelength and period. To understand this relationship, we need to break down the terms:
- Velocity (V): The velocity of a wave is the speed at which it travels through a medium. It is typically measured in meters per second (m/s).
- Wavelength (λ): The wavelength of a wave is the distance between two consecutive points in the wave that are in phase with each other. In other words, it is the length of one complete wave cycle. Wavelength is typically measured in meters (m).
- Period (T): The period of a wave is the time it takes for one complete wave cycle to pass a given point. It is measured in seconds (s).
According to the wave equation, the velocity of a wave is equal to the wavelength divided by the period. This means that as the wavelength increases, the velocity of the wave also increases, assuming the period remains constant. Conversely, if the wavelength decreases, the velocity of the wave decreases, again assuming the period remains constant.
To find the velocity of a wave using this equation, you need to know the wavelength and period of the wave. Simply divide the wavelength by the period, and you will get the velocity of the wave.