(a) Let T the time period of a vibrating body
The number of oscillations completed in T sec = 1
Number of oscillations completed in 1 sec = \(\frac{1}{T}\)
But the number of oscillation completed in 1 sec in known as frequency (ν)
∴ ν = \(\frac{1}{T}\)
⇒ Frequency = \(\frac{1}{T}\)
(b) The relationship between speed, frequency and wavelength of a wave
⇒ Wave velocity = Wavelength x Frequency
The above equation is known as the wave equation. This statement is true for all the types of waves. The velocity of a wave depends on the medium.