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How do wavelength and periods relate?
Wavelength*Frequency = Velocity of the wave. or Wavelength/Period = Velocity of the wave.
What will the wavelength of a wave do if the period of the wave increases?
The wavelength will increase if the period increases.Proof:First define the terms: Wavelength = Lamda (λ), Velocity of propagation = v, frequency = f, period of oscillation = T. Frequency asks "how many waves per unit time (seconds usually)".Period asks "How much time (seconds) does it take for one wave cycle to complete".Also, frequency is inversely proportional to period, so f = 1/T. Also, T = 1/f.(Incidentally, note that as period (T) increases, then frequency (f) gets decreases. Or if frequency increases, then period decreases.)λ = v/forλ = vT. (by replacing f with 1/T)If the frequency decreases, OR/AND the velocity increases, then wavelength corespondingly increases.If the period increases OR/AND the velocity increases, then the wavelength increases.
The wave equation says that a waves speed is equal to its time its frequency?
The speed or velocity of a wave is equal to the wavelength times the frequency. The period (amount of time for one wavelength to occur) is equal to 1 over the frequency (the inverse of its frequency).
What is the period of a wave with a wave speed of 5 and a wavelenth of 20?
The period is 4 [insert units here]. To get to this answer you use the equation v= λ*ƒ which basically means velocity is equal to lambda (wavelength) times frequency. Next you insert the speed where velocity is then you insert the wavelength and try to find the frequency. Once you get the frequency which should be 1/4 Hz then you use the proportion: period ~ 1/frequency and then you know that the period is 4.
A water wave has a frequency of 6 Hz and a wavelength of 3 m What is the period of these waves and What is the wave velocity?
Period = 1 / (frequency) = 1 / 6th of a second = [166 and 2/3] millisecondsSpeed = (wavelength) x (frequency) = 6 x 3 = [18] meters per second
